Equation
Situation
A plant in Zahra's garden grows 0.8 inches
taller each week. After x weeks, the plant has
grown 6 inches.
Meaning of x

Answer:

10 oranges

Step-by-step explanation:

We Know

A grocery store sells a bag of 6 oranges for $4.80

4.80 / 6 = $0.80 for one orange

If Austin spent $8.00 on oranges, how many did he buy?

We Take

8 / 0.80 = 10 oranges

So, he bought 10 oranges.

Answer:

-1 = (-1/2)(6) + b

-1 = -3 + b, so b = 2

y = -(1/2)x + 2, so m = -1/2 and b = 2

The percentage price of the item has decreased by 45%.

What is the definition of percentage?

A percentage is a quantity or ratio that is stated as a fraction of 100.

"%" is the symbol for percentage.

For example, if 25 of 100 students in a class received a "A," we may represent this as a percentage by dividing the number of "A" students by the total number of students and multiplying by 100:

(25/100) x 100% = 25%

This signifies that 25% of the students in the class received a "A".

Now,

To obtain the % drop, subtract the difference between the original and new prices, divide by the original price, then multiply by 100 to get the percentage decrease.

The difference between the original and updated prices is equal to

140 - 77 = 63

So the percentage decrease is:

(63/140) x 100% = 45%

Therefore, the price of the item has decreased by 45%.

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Answer:

[tex] \sf \: x = 25[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 11x - 24 = 7x + 76

Then the value of x will be,

→ 11x - 24 = 7x + 76

→ 11x - 7x = 76 + 24

→ 4x = 100

→ x = 100 ÷ 4

→ [ x = 25 ]

Hence, the value of x is 25.

Hello and greetings Brainly users.

It is an exercise of linear equations with one variable is a fundamental topic in the study of algebra. These types of equations are characterized by being first-degree polynomials in one variable, and can be found in various contexts, such as physics, economics, engineering, among others. Therefore, the ability to solve these equations is essential in the training of any mathematics student and in the development of their ability to solve problems in real life situations.

A linear equation with a variable can be solved by means of a series of algebraic operations that allow us to simplify the expression and clear the variable to be solved. These operations include adding, subtracting, multiplying, and dividing, always maintaining equality between both sides of the equation. The ultimate goal is to find the numerical value that satisfies the equation, that is, the value that makes the equality true.

Solving linear equations with one variable is an important skill not only for mathematics students, but also for professionals in various fields. For example, in engineering, linear equations are used to model physical systems and phenomena, and their resolution is necessary to perform calculations and make informed decisions. In the economy, they are used to analyze the behavior of financial variables and make projections for the future.

To solve the equation 11x - 24 = 7x + 76 we need to isolate the variable x on one side of the equation.

First, we can simplify both sides of the equation by combining like terms:

      11x - 7x = 76 + 24

Which gives us

       4x = 100

Next, we can solve for x by dividing both sides of the equation by 4:

       4x/4 = 100/4

       x = 25

Therefore, the solution to the equation is x = 25.

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The angle of C is 161.4°.

Law of sines defines the ratio of sides of a triangle and their respective sine angles are equivalent to each other. The other names of the law of sines are sine law, sine rule and sine formula.

We have :

In the Triangle ABC,

Angle A is 9 º

Side of a is 44 m,

and side of b is 46 m

To find the angle of C

Now, use the law of sines to find angle B:

b/sin B  = a/sin A

Plug all the values in above formula :

=> 46/Sin B = 44/Sin 9°

=> 46 × Sin9°/ 44 = Sin B

Sin B = 0.164

[tex]B = Sin^-^10.164[/tex]

B = 9.555

Now, By angle sum of property of a triangle,

The sum of three angles of a triangle is 180°

So, Let's apply angle sum property to find angle C

=> ∠ A + ∠ B + ∠C = 180°

Put the value of B = 9.555 and angle A = 9°

=> 9° + 9.555 + ∠C = 180°

18.555 +∠C = 180°

∠C = 180°- 18.555

∠C = 161.4°

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Inequality for this scenario

x ≤ 4.75

So, each package must weigh less than or equal to 4.75 pounds in order for Devin to stay within the weight limit of 40 pounds on Ernest Airlines.

Let x be the weight of each package (in pounds).

The inequality for the scenario can be written as:

21 + 4x ≤ 40

This represents the total weight of Devin's clothes (21 pounds) plus the total weight of the four packages (4x pounds) cannot exceed the weight limit of 40 pounds on Ernest Airlines.

To solve for x, we can subtract 21 from both sides of the inequality:

4x ≤ 40 - 21

4x ≤ 19

Finally, we divide both sides by 4 to isolate x:

x ≤ 19 / 4

Let x be the weight of each package (in pounds).

The inequality for the scenario can be written as:

21 + 4x ≤ 40

This represents the total weight of Devin's clothes (21 pounds) plus the total weight of the four packages (4x pounds) cannot exceed the weight limit of 40 pounds on Ernest Airlines.

To solve for x, we can subtract 21 from both sides of the inequality:

4x ≤ 40 - 21

4x ≤ 19

Finally, we divide both sides by 4 to isolate x:

x ≤ 19 / 4

x ≤ 4.75

So, each package must weigh less than or equal to 4.75 pounds in order for Devin to stay within the weight limit of 40 pounds on Ernest Airlines.

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The equation that shows the relationship is w = 38m.

If Mrs. Lopez types at a constant rate, then the number of words she types is directly proportional to the amount of time she types. We can express this relationship using the formula:

w = km

where w is the number of words typed, m is the number of minutes spent typing, and k is the constant of proportionality.

We are given that k = 38, so we can substitute this value into the formula to get:

w = 38m

Therefore, the equation that shows the relationship between the number of words Mrs. Lopez types and the number of minutes she types is w = 38m.

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Answer:

y=5x-6

Step-by-step explanation:

The protein requirement may be slightly higher, around 1.0 to 1.2 g/kg, this would put his daily protein needs between 72.6 and 87.1 grams.

As a healthy 20-year-old college student who jogs at a moderate pace 3 days per week for 20 minutes, John has an active lifestyle that requires a certain amount of protein to maintain his body.

Protein is an essential nutrient that is needed for the growth and repair of muscles, bones, and other tissues in the body.
According to the Dietary Reference Intake (DRI), the recommended daily allowance of protein for an adult male is 56 grams per day.

However, this amount can vary depending on a person's body weight, activity level, and other factors.
In John's case, he weighs 160 lbs and exercises moderately 3 days per week. Based on this information, he would need approximately 72-80 grams of protein per day.

This is because athletes and people who exercise regularly need more protein to repair and build muscle tissue.
To meet his daily protein requirements, John can include protein-rich foods in his diet such as lean meats, fish, eggs, dairy products, nuts, and beans.

It is also important for him to spread out his protein intake throughout the day rather than consuming all of it in one meal.
John needs approximately 72-80 grams of protein per day to support his active lifestyle and maintain his overall health.

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Answer: 49/60 of corn

Step-by-step explanation:

How I got this answer was I basically paid attention to the wording. 1/6 as much meaning x 1/6. So, I converted 4 9/10 to a fraction and got 49/10. Then, I multiplied 49/10 by 1/6 and got 49/60. The fraction can't be simplified any lower, so it is supposed to be left as is. Hope this helped!

Answer:

You just need to create an expression with the variables then add them together to get the total income: 7e + 13n

The value of v is 13 degrees.

Supplementary angles are a set of given measure of angles which add up to 180 degrees. Thus producing a measure of the sum of angles on a straight line.

To determine the value of v in the given diagram, we have;

60 + (9v + 3) = 180       (sum of angles on a straight line)

So that;

9v + 3 = 1890 - 60

9v + 3 = 120

9v = 120 - 3

    = 117

v = 117/ 9

  = 13

v = 13^o

The value of v in the question is 13 degrees.

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Answer:

d

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

The angles formed by the bisector are equal in measure, adjacent, supplementary, form a linear pair, and are congruent.

When a line bisects an angle, it divides the angle into two equal parts. The resulting angles have several properties

They have equal measures: The two angles formed by the bisector have the same degree measurement.

They are adjacent: The two angles share a common side and vertex.

They are supplementary: The sum of the two angles formed by the bisector is 180 degrees.

They form a linear pair: The two angles, together with the adjacent angle on the other side of the bisector, form a straight line or a linear pair.

They are congruent: The two angles formed by the bisector are congruent to each other.

These properties are useful in solving problems involving angle bisectors in geometry.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What are some properties of the angles formed by the bisector?

Answer:Answer: A. tennis=17 , soccer= 12, baseball=27, basketball=44

BAR GRAPH make sure its not a histogram!!

Step-by-step explanation:

just took the test

Alex will pay 13.8 for her lunch after adding a 15% tip.

We will calculate the amount she paid for her lunch by calculating the tip she paid and adding it to the original price of the lunch(i.e. 12).

[tex]\implies{\sf{15 \% \ of \ 12 \ = \ 12 \times \dfrac{\cancel{15}}{\cancel{100}} }}[/tex]

[tex]\implies{\sf{Tip = \cancel{12} \times \dfrac{3}{\cancel{20}}}}[/tex]

[tex]\implies{\sf{Tip = 3 \times \dfrac{3}{5}}}[/tex]

[tex]\implies{\sf{Tip = \dfrac{9}{5}}}[/tex]

[tex]\implies{\sf{ Tip = 1.8}}[/tex]

Now, add the amount of lunch and tip

[tex]\implies{\bf{ Total \ amount = 12 + 1.8}} \\ \implies{\bf{Total \ amount = 13.8}[/tex]

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Answer:

the table is analysis swap around

Step-by-step explanation:

like if the input is (3,1) the output will be (1,3)

Answer:

Step-by-step explanation:

The correct answer is option D, 1078[tex]\pi[/tex] [tex]cm^{3}[/tex].

The volume of the cylinder = [tex]\pi[/tex][tex]r^{2}[/tex]h.

Radius = 7cm Height = 22cm.

Substituting the value in the formula, we get

[tex]\pi[/tex]*[tex]7^{2}[/tex]*22 = 1078[tex]\pi[/tex].

Hence the Answer is 1078[tex]\pi[/tex].

Answer:

3386.64 cm3

Step-by-step explanation:

i use this formula    π r² h

The total volume of the wedding tent is approximately 13146.7 cubic feet.

The volume of a rectangular prism is expressed as;

V = w × h × l

The volume of rectangular pyramid is expressed as;

V = (1/3) × l × w × h

Where w is the width, h is height and l is length

To find the total volume of the wedding tent, we need to find the volumes of the rectangular prism and the rectangular pyramid and add them together.

Given that: the dimensions of the rectangular prism are 34 ft by 40 ft by 8 ft.

Therefore, the volume of the rectangular prism is:

V_prism = w × h × l

V_prism = 34ft × 40ft × 8ft

V_prism = 10880 ft³

Next, we find the volume of the rectangular pyramid.

Note that: the dimensions of the base of the rectangular pyramid are the same as the dimensions of the rectangular prism, which are 34 ft by 40 ft.

Hence:

The volume of rectangular pyramid is expressed as;

V_pyramid  = (1/3) × l × w × h

V_pyramid  = (1/3) × 34ft × 40ft × 5ft

V_pyramid  = 2266.7ft³

Now we can find the total volume of the tent by adding the volume of the rectangular prism and the volume of the rectangular pyramid:

V_total = V_prism + V_pyramid

V_total = 10,880 + 2266.7

V_total = 13146.7 ft³

Therefore, the total volume of the tent is 13,146.7 ft³

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Answer: 773%

Step-by-step explanation: 7.725666118 x 100 = 772.5666118

772.5666118 = 773 (rounded).

So, 7.725666118 as a percentage is 773%

For example, 50% is written in decimal form as 0.5

And, 0.5 x 100 = 50.

Multiplying by 100 is the same thing as moving the decimal two places to the right.

The chord length is approximately 1.397 centimeters where 0.7 centimeters is the separation from the center of the circle to the chord.

We can use the properties of circles to find the angle formed by the chord at the center of the circle to evaluate the length of the chord.

0.7 centimeters is the separation from the center of the circle to the chord. This remove is additionally the stature of the isosceles triangle shaped by the chord and the two radii of the circle. 

Let θ be the angle between the chord and the center of the circle. You can use trigonometry to find θ.

sin(θ/2) = 0.7/2.5

[tex]θ/2 = sin⁻¹(0.7/2.5)[/tex]

θ/2 = 0.2793

θ=2×0.2793

θ ≈ 0.5586 radians

Now that we know θ, we can use the formula for the chord length of a circle.

chord length = 2 × radius × sin(θ/2)

Chord Length = 2 × 2.5 × sin(0.2793)

String length ≈ 1.397 cm

Therefore, the chord length is approximately 1.397 centimeters.

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WX must be positive because it measures the width of a trapezoid's side. WX thus equals 16.

A parallelogram with at least two pair of parallel sides is known as a trapezium in geometry (or a parallelogram in American English). The legs of a trapezium are the non-parallel sides, whereas the parallel sides are referred to as the bases. The legs of a zygomatic arch might be equal in length (isosceles) or varied in length (non-isosceles). By averaging the widths of the two bases and multiplying by the height, a trapezium's area can be determined (the perpendicular distance between the two bases). that is Area equals (a + b)*h / 2. where h is the trapezium's height and a and b are the lengths of the base's two parallel sides (the bases).

given

MN can be used in place of XV2 in the equation, and the result is simplified to:

XV² = (1/4) (WX + 18)² + h²

Now, we can add the following expression for XV2 to the equation for WX2:

WX² = 18² + XV²

WX² = 18² + (1/4) (WX + 18)² + h²

Adding and subtracting:

3WX² - 218WX - 18² = 4h²

We can now resolve WX:

WX is equal to (218 sqrt((218)2 - 43(-182))). / (2*3)

WX = 16 or -27

WX must be positive because it measures the width of a trapezoid's side. WX thus equals 16.

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The number of  individuals will need to be sampled to have a 90% confidence interval with a margin of error no more than 5% is at least 246.

To determine the sample size needed for a 90% confidence interval with a margin of error no more than 5%, we can use the formula:

n = ([tex]z^{2}[/tex] * p * q) / [tex]E^{2}[/tex]

where:
n = sample size
z = z-score for the desired confidence level (in this case, 1.645 for 90%)
p = proportion of individuals who believe global warming is not a problem (0.8)
q = 1 - p (0.2)
E = margin of error (0.05)

Plugging in these values, we get:

n = ([tex]1.645^{2}[/tex]* 0.8 * 0.2) / [tex]0.05^{2}[/tex]
n ≈ 246

Therefore, at least 246 individuals will need to be sampled to have a 90% confidence interval with a margin of error no more than 5%. The answer is at least 246.

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Answer:

1 x 10^-12

Step-by-step explanation:

....

Answer:  $1.80

Step-by-step explanation: 15% of 12 is 1.8

Answer:

  a) '34'

Step-by-step explanation:

You want the result of executing the Python expression "3" +"4".

The tokens "3" and "4" are both strings. In this context, the "+" operator does concatenation of the strings, so the result is the string "34". The Python interpreter outputs this as '34'.

Answer:

its in the picture

Step-by-step explanation:

Graph the absolute value using the vertex and a few selected points.

x          y

−1        -4

 0       -3

 1        -2

 2       -3

 3       -4

basically, the answer is the graph that looks like this...

hope this helps ;)

Therefore , the solution of the given problem of inequality comes out to be  x< 3, which denotes that x can be any real number below 3.

The distinction in algebra can be expressed by an amalgamation or set of two numbers since there is no indicator for it. Equity usually comes after equilibrium. The persistent gap in standards is what causes inequality. Disparity and equality are not the same thing. As was the least favourite symbol, despite the fact that its components are typically neither connected nor adjacent to one another.

Here,

We can use the procedures listed below to solve the inequality 4x - 1 11:

To isolate the term with x on one side of the inequality, add 1 to both sides of the inequality in step 1:

=> 4x - 1 + 1 < 11 + 1 4x < 12

Step 2: To find x, multiply both sides of the inequality by 4.

=> 4x/4 < 12/4 x < 3

The answer to the inequality 4x - 1 11 is therefore x< 3, which denotes that x can be any real number below 3.

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