those attending the party ate 4 1/2 pounds of candy in total.
How to solve the question?
To solve this problem using an array model on graph paper, we can draw a rectangular array with 2 1/4 rows and 3 1/2 columns. Each cell in the array represents a 1/4 pound of candy. The total number of cells in the array will give us the total amount of candy eaten.
To start, we can divide each row into four equal parts to represent 1/4 pound of candy. We can also divide each column into two equal parts to represent 1/2 pound of candy. Then, we can shade in the cells that represent the amount of candy eaten.
Starting with the first row, we shade in two full rows and an additional half row, representing 2 1/2 bags of candy. Then, in the second row, we shade in two full columns and an additional half column, representing 2 1/4 bags of candy.
When we count the total number of shaded cells in the array, we see that there are 18 cells shaded. Each cell represents 1/4 pound of candy, so we can multiply 18 by 1/4 to get the total amount of candy eaten:
18 * 1/4 = 4 1/2 pounds
Therefore, those attending the party ate 4 1/2 pounds of candy in total.
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is y = 2x squared - 4x + 10 a function
y is a function of x.
Define function?A mathematical relationship between an input (x) and an output (y) where each input has exactly one output is known as a function. There are no multiple possibilities of y for a single value of x in the preceding equation, which expresses y as a combination of x², x, and a constant term. As a result, the equation meets the criteria for a function.
Yes, y = 2x² - 4x + 10 is a function.
A function is a mathematical rule that assigns to each input (x-value) exactly one output (y-value). In the given equation, for any value of x, we can calculate the corresponding value of y using the given equation. Therefore, y is a function of x.
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Nora has 3 poster boards. She plans to divide them into sixths. How many sixths can Nora make from the 3 poster boards?
PLEASE HELP! A man in a lighthouse looks out straight in front of him at the birds in the sky. Then he looks down at an angle of depression of 24 degrees and sees a boat in the ocean. If the distance to throw a rope from the top of the lighthouse to the boat is 45 feet, find how far from land the boat is.
What is the equation for this problem?
Using the given angle of depression the equation (D) cos(24) = x/45 will be used to find the answer.
What is the angle of depression?The angle of depression is the angle formed by the horizontal line and the horizontal line's observation of the item.
When we know the angles and the distance of an object from the ground, it is primarily utilized to find the distance between the two objects.
The angle from the horizontal downward to an item is referred to as the "angle of depression."
The line of sight of an observer would be below the horizontal.
So, in the given situation:
We will find the base which is the distance of the boat from the land.
Which means:
hypotenuse/Base
Which is represented by Cosx.
The angle is 24°.
Then, the equation for a solution would be:
cos(24) = x/45
Therefore, using the given angle of depression the equation (D) cos(24) = x/45 will be used to find the answer.
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The total square footage of your house is 1500 square feet. You want to put new carpet in every room, hallway, and closet, except for the kitchen, dining room and bathroom. If the kitchen is 8 ft by 10 and the dining room is 12ft and 14ft and the bathroom is 4ft by 6 ft, how many square feet of carpet do you need for the house?
Answer:
1228
Step-by-step explanation:
To find the total square footage of carpet needed for the house, we first need to calculate the total square footage of the areas where we do not need carpet and then subtract that from the total square footage of the house.
The kitchen is 8 ft by 10 ft, so its area is:
8 ft x 10 ft =80 square feetThe dining room is 12 ft by 14, ft so its area is:
12 ft x 14 ft = 168 square feetThe bathroom is 4 ft by 6 ft, so its area is:
4 ft x 6 ft = 24 square feetTherefore, the total square footage of the areas where we do not need carpet is:
80 + 168 + 24 = 272 square feetTo find the total square footage of carpet needed for the house, we can subtract this from the total square footage of the house:
1500 - 272 = 1228 square feetTherefore, we need 1228 square feet of carpet for the house.
To calculate the amount of carpet needed, subtract the square footage of the rooms where you don't want new carpet (kitchen, dining room, bathroom) from the total house size. This results in 1228 square feet of carpet required.
Explanation:First, let's determine the total square footage of the spaces where you don't want new carpet. The kitchen is 8 ft by 10 ft, which equals 80 square feet. The dining room is 12ft by 14ft, giving us 168 square feet. The bathroom is 4ft by 6 ft, equal to 24 square feet. When you add these together, that is a total of 272 square feet that should not be carpeted.
Since your total house size is 1500 square feet, we subtract the square footage of the kitchen, dining room, and bathroom from this total. So, 1500 square feet - 272 square feet equals 1228 square feet. Therefore, you need 1228 square feet of carpet for the house.
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which graph shows the solution to the system of linear inequalitys
The graph that shows the solution to the system of linear inequalities is the Graph D.
Which graph shows the solution to the system of linear inequality?Here, we are given first inequality as:
Y > -1/3x + 2
The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (6,0) and (0,2) with shaded region away from the origin ( since it fails zero test)
Second inequality is given by:
y > 2x - 3
The graph of this inequality is a dotted straight line( since the inequality is strict) that passes through (3/2,0) and (0,-3) with shaded region away towards the origin ( since it passes zero test). On plotting it's graph, we get the solution.
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Can you please tell me What x-9=63 is
Answer:72
Step-by-step explanation:you would add the 9 to the other side and then it would give you the answer of x=72. You do this because it is -9 if it were say x+9 then you would subtract 9 from both sides
A quarterback completes 44% of his passes. Show all work.
a. Construct a probability distribution table (out to n = 6) for the number of passes attempted before the quarterback has a completion?
b. What is the probability that the quarterback throws 3 incomplete passes before he has a completion?
c. How many passes can the quarterback expect to throw before he completes a pass?
d. Determine the probability that it takes more than 5 attempts before he completes a pass.
e. If he throws 8 passes on the opening drive, what is the probability that he made at least half of them?
a.The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. the probability is 0.1399.
c. the quarterback can expect to throw about 2.27 passes before completing one.
d. the probability is 0.1865.
e. the probability is 0.7349.
what is probability?The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.
a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:
P(X=k) = [tex](1-p)^{k-1}[/tex]×p
where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.
The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:
P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰
= 0.56²×0.44
= 0.1399
Therefore, the probability is 0.1399.
c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:
E(X) = 1/p
where p is the probability of completion on each attempt.
In this case, p = 0.44, so the expected number of passes is:
E(X) = 1/0.44
= 2.27
Therefore, the quarterback can expect to throw about 2.27 passes before completing one.
d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:
P(X > 5) = 1 - P(X <= 5)
= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]
= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]
= 0.1865
Therefore, the probability is 0.1865.
e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:
P(X ≥ 4) = 1 - P(X < 4)
where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.
Using the binomial probability distribution table or calculator, we can find:
P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]
= 0.7349
Therefore, the probability is 0.7349.
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The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on the test range from 0 to 500. Demonstrating the ability to use the mean to solve a problem is an example of the skills and knowledge associated with performance at the Basic level. An example of the knowledge and skills associated with the Proficient level is being able to read and interpret a stem‑and‑leaf plot.
In 2019, 147,400 eighth‑graders were in the NAEP sample for the mathematics test. The mean mathematics score was Xbar=282. We want to estimate the mean score in the population of all eighth‑graders. Consider the NAEP sample as an SRS from a Normal population with standard deviation =40.
If we take many samples, the sample mean Xbar varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score in the population. What is the standard deviation of this sampling distribution?
Give your answer to four decimal places.
The standard deviation of the sampling distribution is approximately 0.3292.
What is central limit theorem?The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.
Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.
The standard deviation is given by the formula:
SD = σ/√(n)
Now, substituting the value of σ = 40, n = 147,400 we have:
SD = σ/√(n) = 40/√(147400) ≈ 0.3292
Hence, the standard deviation of the sampling distribution is approximately 0.3292.
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32 is what percent of 50?
Answer:
To find the percentage, you need to divide the first number by the second number and then multiply by 100. In this case:
32 ÷ 50 = 0.64
Multiplying by 100 gives:
0.64 × 100 = 64
Therefore, 32 is 64% of 50.
Step-by-step explanation:
Answer:
64%
Step-by-step explanation:
32/50 x 2 (you need to make it over 100)
= 64/100
= 64%
please answer and explain how to get it.
The value of x is given as follows:
x = 4.2 cm.
How to obtain the value of x?The value of x is obtained applying the proportions in the context of the problem.
The ratio between the volumes is given as follows:
3375/512 = 6.59
The side lengths are measured in units, while the volume is measured in cubic units, hence the proportion to obtain the value of x is given as follows:
8/x = cubic root of 6.59
8/x = 1.9
x = 8/1.9
x = 4.2 cm.
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Help me please explain why the are of the large rectangle is 2a+3a+4a.
Explain why the are of the large rectangle is (2+3+4)a.
Answer: The primary rectangle contains a length of 2a units (since it is labeled as "2a" within the diagram), so its zone is 2a x a = 2a^2 square units.
The moment rectangle contains a length of 3a units (since it is labeled as "3a" within the diagram), so its range is 3a x a = 3a^2 square units.
The third rectangle contains a length of 4a units (since it is labeled as "4a" within the graph), so its range is 4a x a = 4a^2 square units.
To discover the overall region of the expansive rectangle, able to include the zones of these three rectangles:
Add up to zone = 2a^2 + 3a^2 + 4a^2
Disentangling this expression, we are able combine the like terms (2a^2, 3a^2, and 4a^2) to urge:
Add up to range = (2 + 3 + 4) a^2
Step-by-step explanation:
Which of the figures can be folded into a cube?
A, B, C, D, E, F, G, H, I, J
A, B, E, G, I, J
C D, F, H, J
A, B, C, E, G, I
The correct option is (D) A, B, C, E, G, I
What is the cube?
A cube is a three-dimensional solid shape that has six square faces of equal size. It has twelve edges and eight vertices, and all angles between the faces are right angles. The cube is a regular polyhedron, which means that all its faces are congruent and all its edges have the same length.
The net of a cube is the one that has the faces arranged in such a way that it makes a complete cubic structure
A) In the given figure, the net cannot be folded into a cube by folding the six faces of the net. Therefore, it is not a cube net.
B) In the given figure, the net cannot be folded into a cube by folding the six faces of the net. Therefore, it is not a cube net.
C) In the given figure, the net cannot be folded into a cube by folding the six faces of the net. Therefore, it is not a cube net.
D) In the given figure, the net can be folded into a cube when its faces are folded one over the other. Therefore, it is a cube net.
Hence, The correct option is (D) A, B, C, E, G, I.
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Suzy can drive 53 miles in 1 hour. How many miles can she drive in 18 hours?
The total miles drive by Suzy in 18 hours when she can drive 53 miles in 1 hour is equal to 954 miles.
If Suzy can drive 53 miles in 1 hour,
Using the formula of speed based on distance and time we have,
Speed = Distance / Time
Substitute the values in the formula we get,
⇒ Speed = 53 miles / 1 hour
⇒ Speed = 53 miles/hour
Use this information to find out how far Suzy can drive in 18 hours we get,
Now, Speed = 53 miles/hour
Time = 18 hours
Distance = Speed x Time
Substitute the value of speed and time we get,
⇒ Distance = 53 miles/hour x 18 hours
⇒ Distance = 954 miles
Therefore, Suzy can drive 954 miles in 18 hours.
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A crayon factory monitored the number of broken crayons per box during the past day.
Broken crayons per box
Stem Leaf
0 0 4 4 9
1 4 6 8 9 9
2 3 8
3 3
4 0 9
5 1 9
6 1
7 1 3
8 2 4 6 8
9 4 9
How many boxes had at least 20 broken crayons but fewer than 60 broken crayons?
the total number of boxes with at least 20 but fewer than 60 broken crayons is 33.To answer this question, we need to use the stem-and-leaf plot to count the number of boxes with at least 20
what is at least ?
"At least" is a phrase that is used to indicate a minimum quantity or degree of something. It means that the stated quantity or degree is the smallest amount that is acceptable or possible. For example, if someone says "I need at least 10 dollars,"
In the given question,
To answer this question, we need to use the stem-and-leaf plot to count the number of boxes with at least 20 but fewer than 60 broken crayons.
From the stem-and-leaf plot, we can see that the stems 2, 3, 4, and 5 have leaves that add up to at least 20 but fewer than 60:
Stem 2 has leaves 3 and 8, which add up to 11.
Stem 3 has leaf 3, which adds up to 3.
Stem 4 has leaves 0 and 9, which add up to 9.
Stem 5 has leaves 1 and 9, which add up to 10.
Therefore, the total number of boxes with at least 20 but fewer than 60 broken crayons is 11 + 3 + 9 + 10 = 33.
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Can anybody please help me
Fast
The value of y that makes the hanger balance is 3.
What is the value of y?
The value of y can be solved considering linear equation method.
A linear equation is an algebraic equation in which the highest power of the variable(s) is always 1. It represents a straight line when graphed on a Cartesian coordinate plane. A linear equation can have one or more variables.
To solve for y in the equation 5 + y = 8, you can follow these steps:
Step 1: Subtract 5 from both sides of the equation to isolate the term with y on one side.
5 + y - 5 = 8 - 5
This simplifies to:
y = 3
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There are 12 cats and 7 dogs at the humane society A. In how many ways can the first costumer randomly choose a cat?
Answer: C
Step-by-step explanation: C
Word problem down below: Fairly easy.
Based on the word problem, the answer is not one of the given options (E. NOTA).
How to explain the word problemIn this case, we have 9 letters and we want to select all of them, so n = 9 and r = 9. Therefore:
A = 9!
A = 362,880
B) The hypotenuse of a right triangle can be found using the Pythagorean theorem:
c^2 = a^2 + b^2
In this case, we have a = 9 and b = 12. Therefore:
c^2 = 9^2 + 12^2
c = 15
So, B = 15.
y - 9 = 3(x - 6)
y - 9 = 3x - 18
y = 3x - 9
The y-intercept of this line is -9, so C = -9.
Therefore, A + B + C = 362,880 + 15 - 9 = 362,886.
So the answer is not one of the given options (E. NOTA).
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Janelle want to know how many square inches of plywood are needed to make the chest and find the number of square inches janelle needs
Therefore, Janelle would need 1872 square inches of plywood to make the chest.
One square inch equals how many inches?A square inch (sometimes known as an in2 or sq. in.) is a unit of area measurement. A square with sides that are one inch long has an area of one square inch: Two lengths are used to measure a square area.
The areas of all the sides must be added up in order to determine the surface area of the chest. For instance, if we use 1/2 inch plywood and the chest is 24 inches by 12 inches by 18 inches, the surface area of the chest would be:
Top and bottom: 2 * (24 inches * 12 inches) = 576 square inches
Front and back: 2 * (18 inches * 12 inches) = 432 square inches
Sides: 2 * (24 inches * 18 inches) = 864 square inches
Total surface area = 576 + 432 + 864 = 1872 square inches
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What is the ratio of yellow to red
6 yellow = 5 green
4 green = 3 purple
5 purple = 2 red
A.3 to 1
B.4 to 1
C.5 to 1
D.6 to 1
===================================================
Explanation:
We have 5 green in the 1st row and 4 green in the 2nd row.
The LCM is 5*4 = 20.
The ratio [tex]6 \text{ yellow} = 5 \text{ green}[/tex] scales up to [tex]24 \text{ yellow} = 20 \text{ green}[/tex] after multiplying both sides by 4.
The ratio [tex]4 \text{ green} = 3 \text{ purple}[/tex] scales up to [tex]20 \text{ green} = 15 \text{ purple}[/tex] after multiplying both sides by 5.
--------------
These set of ratios
[tex]6 \text{ yellow} = 5 \text{ green}\\\\4 \text{ green} = 3 \text{ purple}\\\\[/tex]
scale up to
[tex]24 \text{ yellow} = 20 \text{ green}\\\\20 \text{ green} = 15 \text{ purple}\\\\[/tex]
The key is the "20 green" on each line. This leads to the ratios linking up.
If A = B and B = C, then A = C (transitive property).
So we can say [tex]24 \text{ yellow} = 20 \text{ green} = 15 \text{ purple}\\\\[/tex]
That simplifies to [tex]24 \text{ yellow} = 15 \text{ purple}\\\\[/tex]
We can divide both sides by 3 to get [tex]8 \text{ yellow} = 5 \text{ purple}\\\\[/tex]
--------------
We now have these set of ratios
[tex]8 \text{ yellow} = 5 \text{ purple}\\\\5 \text{ purple} = 2 \text{ red}\\\\[/tex]
Connect those two equations together to get
[tex]8 \text{ yellow} = 2 \text{ red}\\\\[/tex]
Lastly, divide both sides by 4
[tex]4 \text{ yellow} = 1 \text{ red}\\\\[/tex]
The ratio of yellow to red is 4 to 1.A chemist prepares a sample of hydrogen bromide and finds that it occupies 296 mL at 68°C and 475 Torr. What volume would it occupy at 0°C at the same pressure?
Answer in units of mL.
Here, we want to get the final volume
From the general gas equation, we have it that:
[tex]\dfrac{P_1V_1}{T_1} =\dfrac{P_2V_2}{T_2}[/tex]
From the question, we have it that:
P1 is the initial pressure which is 475 torr
V1 is the initial volume which is 296 mL
T1 is the initial temperature which we have to convert to absolute value by adding 273.15 K ([tex]68 + 273.15 = 341.15 \ \text{K}[/tex])
P2 is the final pressure that is the same as the initial which is 475 torr
V2 is the final volume that we want to calculate
T2 is the final temperature which is 273.15 K (0 degrees Celsius is 273.15 K)
Substituting the values, we have:
[tex]\dfrac{475\times296}{341.15}=\dfrac{475\times V_2}{273.15}[/tex]
[tex]V_2=\cfrac{475\times296\times273.15}{341.15\times475} =\boxed{\bold{237 \ mL}}[/tex]
We could have solved this by using Charles' law that relates temperature to volume (volume is directly proportional to temperature)
If the graph of f(x) = 3^x is reflected over the x-axis, what is the equation of the new graph?
The equation of the reflected graph is y = -3ˣ.
To reflect a graph over the x-axis, we need to negate the y-coordinates of all the points on the original graph. In other words, if a point (x, y) is on the original graph, its reflection over the x-axis would be (x, -y).
Let's apply this concept to the exponential function f(x) = 3ˣ. The graph of this function is an upward sloping curve that passes through the point (0,1) on the y-axis. If we reflect this graph over the x-axis, the point (0,1) will be mapped to (0,-1), as the x-coordinate remains the same, but the y-coordinate changes sign.
To find the equation of the reflected graph, we need to replace y with -y in the equation of the original function f(x) = 3ˣ. This gives us:
-y = 3ˣ
To isolate y, we can multiply both sides by -1:
y = -3ˣ
This function is a downward sloping curve that passes through the point (0,-1) on the x-axis.
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What is the area of the figure?
A certain circle can be represented by the following equation.
x^2+y^2+8x-16y+31=0
What is the center of this circle?
What is the radius of this circle?
Answer:
Center= -4,8
Radius=7
Step-by-step explanation:
a rectangular field has a perimeter of 400 yards the length of the field is 3 times the width what is the length of the field and what is the width of the field
The field's length is therefore three times its breadth, or 3(50), or 150 yards, and its width is 50 yards.
what is perimeter ?A this double shape's perimeter is the space encircling its outside edge. It is the length of the object's sides. As an illustration, the perimeter of a rectangle is equivalent to the total of its four sides' lengths.
given
Assume that the rectangular field has a width of "x" yards.
The problem states that the field's length is three times its breadth, or three times yards.
The lengths of all the sides make up the rectangle's perimeter, therefore we can write:
[tex]Perimeter = 2 (length + width).[/tex]
In place of the values we hold:
[tex]400 = 2(3x + x)\\400 = 2(4x) (4x)\\400 = 8x\\x = 50[/tex]
The field's length is therefore three times its breadth, or 3(50), or 150 yards, and its width is 50 yards.
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Achieve $4,000 in three years at 4.5% simple interest.
In order to achieve $4,000 in three years at 4.5% simple interest, the principal must be equal to $29,629.63.
How to calculate the simple interest and future value?In Mathematics, simple interest can be calculated by using this formula:
S.I = PRT or S.I = A - P
Where:
S.I represents the simple interest.P is the principal or starting amount.R is the interest rate.A is the future value.T represents the time measured in years.By substituting the given parameters into the simple interest formula, we have;
4,000 = P × 4.5/100 × 3
4,000 = P × 0.045 × 3
4,000 = 0.135P
Principal, P = 4,000/0.135.
Principal, P = $29,629.63
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50 Points! Multiple choice algebra question. Find the inverse of f(x)=3+5x. Photo attached. Thank you!
the inverse of the function f(x) = 3 + 5x is f^(-1)(x) = (x - 3) / 5.To find the inverse of the function f(x) = 3 + 5x, we need to solve for x in terms of y, then replace y with the inverse notation f⁻¹(x).
what is inverse of the function ?
The inverse of a function is a new function that "undoes" the effect of the original function, meaning that if we apply the inverse function to the output of the original function, we get back the input.
In the given question,
To find the inverse of the function f(x) = 3 + 5x, we need to solve for x in terms of y, then replace y with the inverse notation f⁻¹(x). The steps to find the inverse are as follows:
Step 1: Replace f(x) with y.
y = 3 + 5x
Step 2: Solve for x in terms of y.
y - 3 = 5x
x = (y - 3) / 5
Step 3: Replace x with f⁻¹(x) to get the inverse function.
f⁻¹(x) = (x - 3) / 5
Therefore, the inverse of the function f(x) = 3 + 5x is f⁻¹(x) = (x - 3) / 5.
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Write the first four terms of each arithmetic sequence. first term 7 and common difference 15
Hence, 7, 22, 37, and 52 are the first four terms in the arithmetic series with initial term 7 and common difference 15.
what is arithmetic progression ?Algebraic progression is a series of numbers where each term following the first is derived by multiplying the previous president by a constant known as the common difference (d). An arithmetic progression often takes the form: A, A+D, A+2D, A+3D,... where "a" stands for the initial keyword and "d" for the common distinction.
given
The sequence's initial term is 7, and the shared discrepancy is 15. We can continuously add 15 to the preceding word to find the next terms.
As a result, the arithmetic sequence's first four terms are:
Initial term = 7
Term two: 7 plus 15 equals 22
Third term = 22 plus 15 equals 37
Fourth term: 37 plus 15 equals 52
Hence, 7, 22, 37, and 52 are the first four terms in the arithmetic series with initial term 7 and common difference 15.
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Breck has 22 dimes and nickels. The total value of the coins is $1.45.
How many dimes and how many nickels does Breck have?
Answer:
11 dimes and nickels.
Step-by-step explanation:
22 total coins divided by 2 equals 11 for each.
the number 2 represents the dimes and nickels, 22 for the total amount of coins, and 11 for the answer.
Answer:15 nickels and 7 dimes.
Step-by-step explanation:
which statement correctly identifies the line of reflection?
the triangles are reflected across the x-axis
the triangles are reflected across the y-axis
the triangles are reflected across the line y=x
the triangles are reflected across the line y=-x
Answer:
the triangle arereflected across the line y=x
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Express the angle in terms of degrees, minutes, and seconds, to the nearest second.
350.5527°
Answer:
350° 33' 10".
Step-by-step explanation:
To convert the decimal degree 350.5527° to degrees, minutes, and seconds, we can use the following steps:
The whole number part of the decimal degree is the degree. So, the degree is 350.Multiply the decimal part by 60 to get the minutes.0.5527 x 60 = 33.162The whole number part of the minutes is the minutes. So, the minutes are 33.Multiply the decimal part of the minutes by 60 to get the seconds.0.162 x 60 = 9.72Round the seconds to the nearest second. The nearest second is 10.Therefore, 350.5527° is equivalent to 350° 33' 10".