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Shtirlitz [24]
3 years ago
7

Paula knows the total cost for 100 students will be $750, and the cost total cost for 150 students is $1050. What is the caterer

’s fixed cost and the rate per student served?
Mathematics
1 answer:
Roman55 [17]3 years ago
8 0

Step-by-step explanation:

the price charged for 100 students reflects the cost per student that applies to the order as a whole.

100 * 6 = $600, so the fixed cost is 750-600 = 150.

...

We can check this by substituting in the other equation.

Does 150*6 + 150 = 1050?

150*6=900

900+150 = 1050.

Yes, it does

...

We can express this relationship by the equation:

y = mx + b

where

y = total cost

m = $6 per student

x = number of students

b = fixed costs = 150

y = 6x + 150

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Evaluate the expression.<br> -7- (-6) + 4<br> a. 5<br> b. 3<br> c. -17<br> d. -9
Westkost [7]

4(5) + 5(6) - (-4/-2)

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just to help keep the signs straight, but there is nothing wrong with the way you did it.

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Now you can just start simplifying ... term by term. Multiply the 4 times the 5 and you get:

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20 + 5(6) - (-4/-2)

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Then multiply the 5 times the 6:

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20 + 30 - (-4/-2)

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Next divide the terms in the parentheses. -4 divided by -2 is +2 and you have:

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20 + 30 - (+2)

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When you remove parentheses preceded by a minus sign, you change the signs of the terms

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20 + 30 - 2

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Now add the three terms and the result is +48

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Hope this clarifies the problem for you. Good job ...

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4 0
3 years ago
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Ganezh [65]
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f(x) ≤ 5
8 0
2 years ago
How many meters are in 125 decimeters?
Korvikt [17]
12.5
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6 0
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Point C has the coordinates (–1, 4) and point D has the coordinates (2, 0). What is the distance between points C and D?
Luba_88 [7]

We conclude that the distance between points C and D is 5 units.

<h3>How to find the distance between the two points?</h3>

Remember that if we have two points (x₁, y₁) and (x₂, y₂), the distance between these points is:

d = √( (x₂ - x₁)^2 + (y₂ -  y₁)^2)

In this case, we know that:

Point C has the coordinates (-1, 4)

Point D has the coordinates (2, 0)

Then the distance between these two points is:

d = √( (-1 - 2)^2 + (0 - 4)^2) = √25 = 5

We conclude that the distance between points C and D is 5 units.

If you want to learn more about distance between points:

brainly.com/question/7243416

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1 year ago
Find the slope and the y intercept<br> Y=1/3x + 2
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Answer:

m = 1/3, b = 2

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