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2 years ago

A caterer charger $120 to carter a party for 15 people and $200 for 25 people

Mathematics

1 answer:

Luba_88 [7]2 years ago

5 0

Answer:

y = 8x

Step-by-step explanation:

When the number of people increased by 10, the caterer charged an additional $80. Therefore, we estimate that the cost per person is $8. In order to verify:

$8/person * 15 people = $120. True. $8/person * 25 people = $200. True.

Therefore, if we let x represent the number of people being cater for and y represent the cost, the equation to model the situation is simply y = 8x.

hope it helps!

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Multiply both numerator and denominator of the first fraction by 3:

$\dfrac{3b-15}{3b}+\dfrac{1}{3b}=\dfrac{5b+2}{3b}$

Now all fractions have the same denominator. Under the assumption that b is not zero, multiply both sides by 3b:

$3b-15+1=5b+2 \iff 3b-14=5b+2$

Subtract 3b from both sides:

$-14=2b+2$

Subtract 2 from both sides:

$-16=2b$

Divide both sides by 2:

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2 years ago

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Answer:

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Step-by-step explanation:

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1 year ago

Liam has 2 quarts of apple juice. He wants to pour the juice into 1/5-quarts servings. How many servings can he pour?

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Answer:

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Step-by-step explanation:

Divide the total juice available, 2 quarts, by the serving size, (1/5) quart per serving:

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--------------------------- = ---- · ------ servings = 10 servings

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2 years ago

-25 Points-

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$\bf ~\hspace{5em} \textit{ratio relations of two similar shapes} \\\\ \begin{array}{ccccllll} &\stackrel{\stackrel{ratio}{of~the}}{Sides}&\stackrel{\stackrel{ratio}{of~the}}{Areas}&\stackrel{\stackrel{ratio}{of~the}}{Volumes}\\ \cline{2-4}&\\ \cfrac{\stackrel{similar}{shape}}{\stackrel{similar}{shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3} \end{array}~\hspace{6em} \cfrac{s}{s}=\cfrac{\sqrt{Area}}{\sqrt{Area}}=\cfrac{\sqrt[3]{Volume}}{\sqrt[3]{Volume}} \\\\[-0.35em] \rule{34em}{0.25pt}$

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2 years ago