Twenty-five students use 120 sheets of paper. Find the unit rate in sheets per student

Answers

Answer 1
Answer: sheets / student = 120 / 25 = 4.8 sheets per student

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Find the distance between the pair of parallel lines, y = x-11 & y = x-7
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The number of T-shirts a basketball team orders depends on the number of players on the team. **Remember: THE OUTPUT depends on THE INPUT

Which one of these numbers are not like the others?
21, 15, 6, 16, 27

Answers

The one that isn't the same is 16 because it's not divisible by three and all the others numbers are

Find the value of 83 - [59 - (22 - 18)].
16
28
64

Answers

28 would be the correct answer to that equation

Answer:

28

Step-by-step explanation:

Using PEMDAS (order of operations) it would end up being 28

If the residuals are near zero, what does this tell me about the best-fit line?

Answers

Answer:

The closer a data's point residual is to 0 the better the fit.

Point W was translated as follows W(-4,7) -> W'(-2,4) a student wrote the algebraic rule to describe the translation as (x,y)->(x-3,y+2) evaluate the students answer

Answers

Student did it wrong. The translation is: (x,y) → (x+2, y - 3 ).
Explanation:
For x- coordinate: -4 + 2 = -2
For y- coordinate: 7 - 3 = 4

Which is the graph of f(x) = x2 – 2x + 3?

Answers

Answer:

It's the first graph :D

Step-by-step explanation: hope it helps ^w^

Answer:

The correct answer is:

The graph will be the same width as the parent graph f(x) = x², but the vertex has been shifted to (1, 2).

Step-by-step explanation:

Since the value of a, the coefficient of x², is 1, this means the graph has not been stretched or shrunk. However, since the function is different than f(x)=x², we know that the vertex is not at (0, 0). We can write the function in vertex form to find the new vertex.

To write the function in vertex form, we find the value of b/2. The value of b in this function is -2; -2/2 = -1. We then square this: (-1)² = 1. This is what we add and subtract to the function (we must do both to preserve equality), giving us:

f(x) = x²-2x+1+3-1

The first three terms of this function can be written as the square (x+(b/2))²; this is (x-1)², and gives us f(x) = (x-1)²+3-1. Combining like terms, we have:

f(x) = (x-1)²+2

This is vertex form, f(x) = a(x-h)²+k, where (h, k) is the vertex. This means the vertex is at (1, 2) instead of (0, 0).

One day a store sold 30 sweatshirts. White ones cost $11.95 and yellow ones cost$11.50. In all, $349.95 worth of sweatshirts were sold. How many of each color were sold?

Answers

With this, I would use a guess and check method.
Start by splitting them half.
$11.95x15 sweatshirts = $179.25
$11.50x15 sweatshirts = $172.50
Then you add the totals to see how close you are.
$197.25+$172.50=$351.75
That's a little high. so we'll shift the amount of sweatshirts.
$11.95x14 sweatshirts= $167.30
$11.50x16 sweatshirts= $184.00
And add the totals again.
$167.30+184.00= $351.30
Closer, but too high still, so we'll shift it more in the direction we're going.
$11.95x11 sweatshirts = $131.45
$11.50x 19 sweatshirts = $218.50
Once again, add the totals to check if it matches.
$131.45+$218.50= $349.95
Therefore, 11 white sweatshirts and 19 yellow sweatshirts were sold.