Please help asap people kept giving me wrong answers. Due tonight in a couple hours +25pts

ES = ___ units


Round your answer to the nearest tenth.

Please Help Asap People Kept Giving Me Wrong Answers. Due Tonight In A Couple Hours +25ptsES = ___ UnitsRound

Answers

Answer 1

The value of ES will be;

⇒ ES = 10.63 units

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

The coordinate of E = (- 3, - 4)

The coordinate of S = (4,  4)

Now,

Since, The coordinate of E = (- 3, - 4)

The coordinate of S = (4,  4)

Hence, The value of ES is find as;

⇒ ES = √ (4 - (-3))² + (4 - (-4))²

         = √ 7² + 8²

         = √ 49 + 64

         = √ 113

         = 10.63

Thus, The value of ES = 10.63 units

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Related Questions

How do you know if its linear or linear?

Answers

Linear equations are equations that can be written in the form ax + b = c, where a, b, and c are real numbers and a ≠ 0.

The equation can be solved for the variable x by subtracting b from both sides and then dividing both sides by a. This will give the solution for x, which is x = (c - b) / a.

For example, consider the equation 2x + 4 = 10. This is a linear equation since it can be written in the form ax + b = c, where a = 2, b = 4, and c = 10. To solve for x, subtract b from both sides to get 2x = 6, and then divide both sides by a to get x = 3. Therefore, the solution to the equation is x = 3.

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What is the equation of the line graphed below?

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Answer: -2/3x is the slope and the beginning amount is 5 so the equation would be -2/3x+5.

Step-by-step explanation:

Once you find the slope using the formula rise/run you will get 2/3 but since the slope is going downwards it would be -2/3 which gives you the mx. Now to find the beginning amount look where the line intersects the graph which will give you the equation.

GIVING BRAINLIEST! HELP

Answers

Answer:

The answer is a because the sign should be facing right but not be greater than or equal to.

The circular region of the sign (below, left) has an area of 154 square inches. Vanessa would like to place a tiny ribbon (shaded) around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. How many inches of ribbon will Vanessa need to buy if she estimates $\pi = 22/7 ?

Answers

Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.

What is the area of circle?

The area of a circle is given by the formula: A = πr^2, where A is the area of the circle, π is a constant (approximately equal to 3.14) and r is the radius of the circle.

Given the area of the circular region is 154 square inches. We can use the formula to find the radius: 154 = πr^2

By substituting π = 22/7 we get:

154 = (22/7)r^2

Solving for r, we get:

r = sqrt(154*7/22)

The circumference of the circle is given by the formula C = 2πr, where C is the circumference and r is the radius.

By substituting the value of r we got before, we get:

C = 2πr = 2*(22/7)sqrt(1547/22)

To be sure she has enough ribbon, Vanessa decides to buy 2 inches more of the ribbon than the original circle's circumference. So she needs to buy:

C + 2 = 2*(22/7)sqrt(1547/22) + 2 inches

Hence, Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.

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You need to study the satisfaction of customers of a specific restaurant. You decide to order food and talk to those customers sitting next to you. This would most closely describe which type of sampling technique

Answers

This is how the Cluster of sampling technique is best described.

Describe cluster sampling.Cluster sampling divides a population into clusters, which are more compact groupings. From these clusters, they next randomly select a sample. Cluster sampling is a probability sampling approach that is frequently used to explore large populations, especially those that are widely geographically dispersed.Large, dispersed populations should be investigated using cluster sampling. This is because interviewing each individual is expensive, time-consuming, and in some cases impossible. Building more compact, comparable representations of the population under study is made possible by cluster sampling.For instance, if you wanted to investigate the consumption of soda in a certain city, you could use area sampling to divide the city into several regions, or clusters, and then choose out specific clusters to study.

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Need the answer plsss!

Answers

By solving, we see that the product of the polynomials 4 - a and a3 + 7a - 18 is a3 + 3a2 + 46a + 72.

what is polynomial ?

The location on the y-axis where the slope of the line passes is known as the intersection point in mathematics. a point on a line or curve where the y-axis crosses. The equation for the straight line is given as Y = mx+c, where m denotes the slope and c the y-intercept. In the intercept form of the equation, the line's slope (m) and y-intercept (b) are highlighted. The slope and y-intercept of an equation with the intercept form (y=mx+b) are m and b, respectively. There are several equations that can be rewritten to look like slope intercepts. The slope and y-intercept are both modified to 1 if y=x is rewritten as y=1x+0, for example.

given

(4 - a) * ( a3 + 7a - 18 )

= 4a3 + 28a - 72 - a4 + 7a2 + 18 a

= a3 + 3a2 + 46a + 72

By solving, we see that the product of the polynomials 4 - a and a3 + 7a - 18 is a3 + 3a2 + 46a + 72.

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Find the general solution y''-y'-2y=-2t+4t^2

Answers

The general solution to the given differential equation is y = c₁e⁻t + c₂te⁻t + t².

The given differential equation can be written as y'' - y' - 2y = -2t + 4t², which is a second-order linear differential equation with constant coefficients. To solve this equation, the first step is to solve the associated homogeneous equation, which is y'' - y' - 2y = 0. This homogeneous equation can be solved by using the characteristic equation, r² - r - 2 = 0, which has two roots, r = 2 and r = -1.

The general solution of the homogeneous equation is then y = c₁e²t + c₂e⁻t. To find the particular solution of the non-homogeneous equation, the method of undetermined coefficients is used. Since the non-homogeneous term is 4t², the particular solution of the non-homogeneous equation is yp = t².

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When working modulo m, the notation a^-1 is used to denote the residue b for whichab = 1 (mod m), if any exists. For how many integers a satisfying 0 < a < 100 is it true thata(a − 1)−¹ = 4a-¹ (mod 20)?Please hurry up guys!!

Answers

There are 10 integers that satisfy 0 < a < 100.

What are integers?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

Here, we have

Given: When working modulo m, the notation a⁻¹ is used to denote the residue b for which ab = 1 (mod m), if any exists.

We have to find integers that satisfy 0 < a < 100.

a(a − 1)⁻¹ ≡  4a⁻¹ (mod 20)

a ≡ 4a⁻¹(a − 1)(mod 20)

a² ≡ 4(a-1)(mod 20)

a² - 4a + 4 ≡ 0(mod 20)

(a - 2)² ≡ 0(mod 20)

a = 2 + 10n | for n = (0, 1, 2, 3.....9)

Hence, there are 10 integers that satisfy 0 < a < 100.

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25PTS 25PTS don’t have to explain

Answers

Answer: y=3x-2

Hope that helps!

Answer:

y = 3x - 2

Step-by-step explanation:

Solve the proportion.
8 / 3 = g / 3
a. 1 / 8
b. 9 / 8
c. 8
d. 8 / 9

Answers

g equals 8 the bottom 3’s cancel out so your left with g=8

Please help as soon as possible!
22. x=?
23. y=?

Answers

The unknown angles in the parallel lines are as follows;

x = 28

y = 23

How to find angles when parallel lines are cut by a transversal?

When parallel lines are cut by a transversal line, angle relationships are formed such as linear angles, vertically opposite angles, interior angles, corresponding angles, alternate interior angles, alternate exterior angles etc.

using vertical angles and same side interior angles,

5y - 4 + 3y = 180 (same side interior angles are supplementary)

8y - 4 = 180

8y = 180 + 4

8y = 184

divide both sides by 8

y = 184 / 8

y = 23

Hence,

3y  = 2x + 13(corresponding angles)

corresponding angles are congruent.

Hence,

3(23) = 2x + 13

69 - 13 = 2x

2x = 56

x = 56 / 2

x = 28

Therefore,

x = 28

y = 23

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4. Two of the angles in a triangle have measure of 79° and 81°. Which of the angle measures below
could belong to a triangle that is similar to this triangle?
A) 81 and 80°
B) 81 and 20°
C)79° and 90°
D)79° and 21°

Answers

Answer:

B) 81 and 20°

Step-by-step explanation:

In any triangle, the sum of the measures of the three angles is 180°. Therefore, if two angles in a triangle have measures of 79° and 81°, the third angle must have a measure of 180 - 79 - 81 = 20°. Therefore, the answer is B) 81 and 20°.

Answer:

B

Step-by-step explanation:

. In the cafeteria
3 out of every 5
students prefer
pizza. If there are
200 students in the
cafeteria how many
students prefer
pizza?

Answers

Answer:

120

Step-by-step explanation:

3/5 of 200 = 120

Answer: 120 students

Step-by-step explanation: Write 3 out of every 5 students as a fraction, (3 over 5). Now divide 5 into 200. You get 40. Multiply that by 3, you get 120. (As a fraction it is 120 over 200). Therefore, 120 students prefer pizza.

In a market survey, 100 traders sell fruits. 40 sell apples, 46 oranges, 50 mangoes, 14 apples and oranges, 15 apples and mangoes and 10 sell all three fruits each of the 100 traders sell at least one of the three fruits. (A) how many traders sell only one fruit. (B) how many traders sell only two fruits.

Answers

a) The number of traders who sell only one fruit is given as follows: 88.

b) The number of traders who sell only two fruits is given as follows: 9.

How to obtain the amounts?

The amounts are obtained using Venn sets in the context of this problem.

The sets are given as follows:

Set A: sells apples.Set B: sells oranges.Set C: sells mangoes.

10 sell all three fruits, hence:

A ∩ B ∩ C = 10.

15 vendors sell apples and mangoes, hence:

(A ∩ C) + (A ∩ B ∩ C) = 15

(A ∩ C) = 5.

14 vendors sell apples and oranges, hence:

(A ∩ B) + (A ∩ B ∩ C) = 14

(A ∩ B) = 4.

Hence the number who sell two of them is of:

(A ∩ B) + (A ∩ C)  = 4 + 5 = 9.

50 vendors sell mangoes, hence:

C + (A ∩ C) + (A ∩ B ∩ C) = 50

C = 35.

46 vendors sell oranges, hence:

B + (A ∩ B) + (A ∩ B ∩ C) = 46

B = 32.

40 vendors sell apples, hence:

A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 40.

A + 9 + 10 = 40

A = 21.

Hence the number of vendors who sell only one fruit is given as follows:

A + B + C = 21 + 32 + 35 = 88.

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create a situation relating to coins that can be modelled by the linear system and explain the meaning of each variable

x + y = 24
0.25x + 0.05y = 4.60

Answers

The situation involving coins that is modeled by the system of equations x + y = 24, 0.25x + 0.05y = 4.60 is given as follows:

You have a combination of 24 quarters and cents, and the total you have is of $4.60. How many coins of each type you have.

What is the system of equations?

To obtain the meaning of each of the variables x and y, we look at the second equation, given as follows:

0.25x + 0.05y = 4.60.

This means that:

The variable x represents the total number of quarters, as each quarter coin is worth $0.25.The variable y represents the total number of nickels, as each nickel coin is worth $0.05.

The result of this sum means that the total amount of money that you have is of $4.60.

The first equation is given as follows:

x + y = 24.

Which means that the total number of coins that you have is of 24.

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The numbers 176 and 342, written as the products

of their prime factors, are 176 = 24 x 11 and

342 = 2 x 32 x 19. Hence, find the smallest whole

number that is divisible by both 176 and 342.

Answers

The smallest whole number that can be divisible by both 176 and 342 is 30096.

To find out the least whole number that is divisible by two numbers, we have to find out the LCM. LCM is the least common multiple. This is done by factorization. We have to factorize both numbers. Prime factorization means we have to write the number as a product of prime numbers.

                   176 =  2×2×2×2×11= 2⁴× 11

                   342 = 2×3×3×19 = 2 × 3² × 19

 

According to the prime factorization method, we have to multiply the highest powers.

So  LCM = 2⁴×  3²× 11 ×19

               = 30096

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√2x-1- x = 0
How do I solve this equation?

Answers

Answer:

x = 1

Step-by-step explanation:

Immediately, we will simplify like terms on the left side of the equation. This will give us:

[tex]\sqrt{2x-x-1}[/tex]  = 0

Simplifying gives us:

[tex]\sqrt{x-1}[/tex] = 0

Now, an important thing to note, is that for the square root of a number to be 0, the number has to be 0. Therefore, x - 1 must equal 0. So, x = 1. Checking our work gives us:

[tex]\sqrt{2x - x - 1}[/tex] = 0

[tex]\\\sqrt{2 - 1 - 1}[/tex] = 0

[tex]\sqrt{0}[/tex] = 0

It all checks out.

Hope this helped!

What is a dual of a formula?

Answers

The dual formula is a formula which we get when we replace the symbol ∨ by ∧ , ∧ by ∨ , T by F  or F by T.

Basically , we can say that it is obtained by replacing tautology by contradiction.

There are certain rules which are to be followed while applying dual formula which are,

Some symbols, example  ¬ remains the same while finding dual.If we will find  the dual of a dual we will get the original statement.T (tautology) and F (contradiction) are duals of each other.T is changed to F and vice-versa.

S1 is a tautology if and only if S2 is a contradiction.

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solve the inequality. -7x < 35

Answers

[tex]-7x < 35[/tex]

Divide both sides by -7:

[tex]\dfrac{-7x}{-7} < \dfrac{35}{-7}[/tex]

Since we are dividing by a negative number, the sign will reverse.

[tex]\fbox{x} > \fbox{-5}[/tex]

The solution to the given inequality is x > -5 which represents a set of all real numbers x that are greater than -5.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

-7x < 35

To solve the inequality -7x < 35, we first need to isolate the variable (x) on one side of the inequality.

We will divide both sides of the inequality by -7 (since -7 is being multiplied by x on the left side).

However, when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality symbol. So the inequality becomes:

x > -5

This inequality can be read as "x is greater than -5." It is the solution set of all real numbers x that is greater than -5.

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Over the last three days it has rained a total of 1 inch. Today it rained 2 8 of an inch and yesterday it rained 3 8 of an inch. How much more did it rain the day before yesterday

Answers

So, it rained 15/8 inch the day before yesterday.

The total amount of rain that fell in the last three days is 1 inch. We know that 2/8 of an inch fell today, and 3/8 of an inch fell yesterday. We can add these amounts together to find out how much more it rained the day before yesterday.

To add 2/8 and 3/8, we need to convert the fractions to have a common denominator, which is 8.

2/8 = 2/8 * 1 = 2/8

3/8 = 3/8 * 1 = 3/8

Now we can add the fractions:

2/8 + 3/8 = (2+3)/8 = 5/8

Since we know that the total amount of rain that fell in the last three days is 1 inch, we can subtract the amount that fell today and yesterday from the total amount to find out how much more it rained the day before yesterday:

1 inch - (5/8 inch) = 15/8 inch

Therefore, it rained 15/8 inch the day before yesterday.

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In deer, the gene $N$ is for normal coloring and the gene $a$ is for no coloring, or albino. Any gene combination with an $N$ results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors from parents that both have the gene combination $Na$.

a. What percent of the possible gene combinations result in albino coloring?


$\%$


b. Show how you could use a polynomial to model the possible gene combinations of the offspring.


The gene combinations could be modeled by the polynomial

Answers

Using Punnett square we know that 25%of the possible gene combinations result in albino coloring.

What is Punnett square?

The genotypes of a specific cross or breeding experiment are predicted using the Punnett square, a square diagram.

It bears Reginald C. Punnett's name, who developed the method in 1905.

Biologists use the figure to calculate the likelihood that a child will have a specific genotype.

So, there is only one gene combination that could result in albinism.

4 different gene pairings are possible.

The proportion of gene combinations that might result in albinism.

Coloring is, therefore:

Percentage = 1/4 * 100 = 25%

Therefore, using Punnett square we know that 25%of the possible gene combinations result in albino coloring.

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Correct question:

Genetics In deer, the gene N is for normal coloring and the gene a is for albino. Any gene combination with an N results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors when both parents have the gene combination Na.

What percent of the possible gene combinations result in albino coloring?

Starting with a randomly selected box of cereal from the manufacturing line every 50th box of cereal is removed and weighed the mode weight of a days sample us calculated

Answers

Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.

what is mode ?

The value that consistently appears in a given set is known as the mode in statistics. The mode or modal value is the value or number that appears most frequently in a data set and has a high frequency. Along with mean and median, there are three other ways to measure central tendency. The mode can be calculated quite easily. After sorting the numbers in a set according to their order—lowest to highest or highest to lowest—count how many times each number appears in the group.

given

Example: 50th box of cereal

All cereal boxes are lined up in the population

Example Parameter: The cereal box's average weight

Population metric: The cereal on the line's average weight

Sample Parameter: The population's weight and the average weight of the cereal box The grain on the line's average weight is the parameter.

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Write an equation in terms of x that represents the given statement.

Four increased by three times a number is 34

Answers

Answer: 3x+4=34

Step-by-step explanation: let the number be x

A.T.Q

the number is 3 times i.e 3x

4 increase=3x+4.

and it says the equation is equal to 34.

3x+4=34

Jack, Marta, Rand, Todd and 6 more students went apple picking. Every two of these 10 students pick a different number of apples. Combined, the ten students pick 45 apples. Suppose Jack and Marta pick a total of 16 apples; Marta and Rand pick a total of 15 apples; Rand and Todd pick a total of 13 apples. How many apples did Todd pick

Answers

So, Todd picked 1 apple.

We can use the information given to set up the following equations:

Let x be the number of apples Jack picked, and y be the number of apples Marta picked.

We know that x + y = 16 (Jack and Marta pick a total of 16 apples)

Let y be the number of apples Marta picked, and z be the number of apples Rand picked.

We know that y + z = 15 (Marta and Rand pick a total of 15 apples)

Let z be the number of apples Rand picked, and w be the number of apples Todd picked.

We know that z + w = 13 (Rand and Todd pick a total of 13 apples)

We know that the total number of apples picked is 45, therefore x + y + z + w = 45

We can use the equation x + y = 16 to express x in terms of y:

x = 16 - y

We can substitute this into the other equations

(16 - y) + y = 16

y + z = 15

z + w = 13

We can sum all the equations:

(16 - y) + y + y + z + z + w = 45

16 + 2y + 2z + w = 45

From the equation y + z = 15, we can substitute y = 15 - z

16 + 2(15 - z) + 2z + w = 45

16 + 30 - 2z + 2z + w = 45

46 + w = 45

w = 1

Therefore Todd picked 1 apple.

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(-2) (-3) less greater than equal than 8- (-2)

Answers

The true statement is 6 less than 10

How to determine the true statement

From the question, we have the following parameters that can be used in our computation:

(-2) (-3) less greater than equal than 8- (-2)

We start by evaluating each expression

So, we have the following representation

(-2) (-3) = 6

8- (-2) = 10

Substitute the known values in the above equation, so, we have the following representation

6 less greater than equal than 10

6 is less than 10

So, we have

6 less than 10

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evaluate the numerical expression

5^2/5^3

Answers

Answer:

The answer is 5⁻¹ or 1/5

Step-by-step explanation:

5²/5³

Here, we know that the base is the same i.e., 5 so, will use the property;

xᵐ ÷ xⁿ = xᵐ⁻ⁿ

5² ÷ 5³

5² ⁻ ³ = 5⁻¹ = 1/5

Thus, The answer is 5⁻¹ or 1/5

Answer the questions. If you get stuck, consider using pattern blocks.
a. How many1/2s are in 4?
b.How many 2/3s are in 2?
c.How many 1/6s are in 1?

Answers

Eight 1/2s are in 4. This can be visualized with pattern blocks, as four triangles (each triangle is 1/2) would be needed to make up a square (4).

What is visualized?

Visualization is the process of creating graphical representations of data and information. It can take the form of charts, graphs, diagrams, maps, and other visual representations of data and patterns. Visualization can be used to explore, analyze, and communicate data in an effective and meaningful way, helping to make complex data more accessible and easier to understand. Visualization can also help to uncover trends and relationships that might otherwise be difficult to detect.

b. Three 2/3s are in 2. This can be visualized with pattern blocks, as three hexagons (each hexagon is 2/3) would be needed to make up a rectangle (2).
c. Six 1/6s are in 1. This can be visualized with pattern blocks, as six rhombuses (each rhombus is 1/6) would be needed to make up a hexagon (1).

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A North Dakota license plate has six characters: 3 digits followed by 3 letters (e.g. 123AAA). Any number from 0 to 9 can be used as a digit. Any of the 26 letters from A to Z can be used as a letter.

How many different North Dakota license plates can be issued?

Enter your answer as an integer without commas, like this: 42536475

Answers

The number of different North Dakota license plates that can be issued is 17,576,000 plates.

How to find the number of plates issued ?

For the first digit, there are 10 possibilities (0 to 9). For the second and third digits, there are also 10 possibilities each. For the first letter, there are 26 possibilities. For the second and third letters, there are also 26 possibilities each.

The total number of different license plates that can be issued is therefore:

= 10 x 10 x 10 x 26 x 26 x 26

= 1, 000 x 17, 576

= 17, 576, 000 different plates

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In 33,291 how is the value of the three in the 10,000s place related to the value of the three in the thousands place

Answers

The place value of 3 in 10,000s place is the product of 10 with the place value of 3 in thousands place.

What is Place Value?

Every digit in a number has it's own place value. Place value is the position of a digit in a number.

For example, in the number 3456, 6 is in the ones place, 5 is in the tens place, 4 is in the hundreds place and 3 is in the thousands place.

Given the number 33,291.

Place value of 1 = 1

Place value of 9 = 90

Place value of 2 = 200

Place value of 3 in thousands place = 3000

Place value of 3 in ten thousands place = 30,000 = 3000 × 10

That is, place value of 3 in 10,000s place is the product of ten with the place value of 3 in thousands place.

Hence the place value of 3 in thousands place multiplied to 10 gives the place value of 3 in 10,000s place.

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Jason has some money. His grandmother gives him another $18.00. Write an expression to show how much money Jason has now. Use x for your variable.

Answers

Answer:

x + 18

Step-by-step explanation:

The variable is going to be the amount of money Jason has before his grandmother gives him money.

That variable is x.

Then, his grandmother gives him $18. The $18 would be added to the amount of money that Jason already has.

The expressions would be x + 18.

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Why is copper wire a better conductor of electricity than carbon fiber? (1 point)A) Carbon (C) does not have any valence electrons.B) Copper (Cu) is a metal, and only metals can conduct electricity. C) The electrons in copper (Cu) are loosely bound to the nucleus.D) Copper (Cu) has no loose electrons. Compare the Giant's Causeway with Devils Tower. In what ways are these formations similar? In what ways are they different During the Roman empire, someone spoke to the Senate complaining about the behavior of teenagers who was that what fraction of 3 kilograms is 50 grams Write an equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5). y = A baby manatee weighs 58 kilograms. At birth the manatee weighed 30 kilograms. What is the percent increase in the manatee's weight rounded to the nearest whole number? the reconciliation of the bank statement is a process of comparing date on a bank statement with records maintained in the medical office What are the similarities between aerobics and anaerobic exercise? On a scale, drawing inches equals 10 miles if the length of the road on the scale is 4 inches which of the following could be used to find the length of the road The United States received a shipment of automobiles from Japan. The United States received an_________________________ If you double the total amount of Na ions, but you also double the amount of water they are dissolved in, __________. Is there anyone in your life whom you consider your hero explain? Based on the following reactions who many not have been listening to your thoughts on recycling?A. "These are some great ideas. We should try to get more towns to follow this plan."B. "I did not understand your idea about adding more recycling pick up days. Can you explain that again?"C. "That's good."D. "You have some good ideas, but remember, not all plastics can be recycled." Think back to Act 1. What details, either in the dialogue or in Miller'sdescriptions of the characters, contribute to the atmosphere of impendingdoom that hangs over Salem? A pizza delivery driver must make three stops on her route. She will leave the restaurant and travel 4 miles north to the first house. The next house is 6 miles away in the direction of east. She delivers the last pizza to the third stop, which is 5 miles south of the restaurant before she returns to the restaurant to pick up more pizza. What is her displacment for the entire trip You are hired to work for a company at age 25 and the company has a retirement planwhere you can put up to 6% of your salary into the plan each month and they will matchthat amount. Your starting monthly salary is $6,100, assume for simplicity sake younever get a raise, and the retirement plan guarantees a 6.28% interest rate over the life ofthe plan.Scenario 1: You decide to start the retirement plan right away and you can affordto put the full amount (6% of your salary) into the plan each month.a) What is 6% of your salary? _______________b) Since your company matches what you put into your retirement account, what is thetotal amount put into your account each month?_______________c) How much money will you have in the retirement account when you reach fullretirement age, the time when you can start taking money out of the account, which is 62years old? ________________d) How much money did you put into the account? ________________e) How much money did your employer put into your account? ________________f) How much money did your account gain in interest over the years? _______________Scenario 2: You decide to start the retirement plan right away, but you can onlyafford to put 3% of your salary into the plan each month.a) What is 3% of your salary? _______________b) Since your company matches what you put into your retirement account, what is thetotal amount put into your account each month?_______________c) How much money will you have in the retirement account when you reach fullretirement age, the time when you can start taking money out of the account, which is 62years old? ________________d) How much money did you put into the account? ________________e) How much money did your employer put into your account? ________________f) How much money did your account gain in interest over the years? _______________What is the difference in the amount of money you will have at age 62 between scenarios1 and 2? ________________What is the difference in the amounts of money you put into retirement betweenscenarios 1 and 2? _______________How much more money did you get from your employer in scenario 1 than 2? Raul and are on the green team. He and have finished our science project I am a non-volatile type of built-in memory. I store my contents long-term. My job is to store critical programs that the computer needs to access in order to boot up. What am I What is the sound of I Wandered Lonely as a Cloud? Determine the maximum thickness of an aluminium sheet in which a 50 mm diameter hole is to be punched, if the compressive stress in the punch is not to exceed 80 MPa.