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konstantin123 [22]
2 years ago
12

For his parents' anniversary party, Dustin is considering using one of two venues. A hotel in Booneville will cost $993 for a re

servation, plus $60 per person. A restaurant in the same city will cost $61 per person, in addition to $977 for the reservation. In order to make the best decision, Dustin figures out how many attendees it would take to have the venues cost the same amount. What would the total cost be? How many attendees would that be?
Mathematics
1 answer:
allochka39001 [22]2 years ago
6 0

Answer:

862+76x=894+75x

x=894-862

x=32

C=862+76*32=$3294

The same amount would be with 32 guests.

The total cost would be $3294. That cost for the 32 guests.

Step-by-step explanation:

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The perimeter of a rectangular field is 372 yards. If the width of the field is 87 yards, what is its length?__yards
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ANSWER

The length of the rectangular field is 99 yards

EXPLANATION

Given information

The perimeter of a rectangle field is 372 yards

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To find the length of the rectangular field, follow the steps below

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\begin{gathered} \text{ The perimeter of a rectangular field = 2\lparen l + w\rparen} \\ \text{ where l =length, and w = width} \end{gathered}

Step 2: Substitute the given data into the formula in step 1

\begin{gathered} \text{ Perimeter = 2 \lparen l + w\rparen} \\ \text{ Perimeter = 372 yards} \\ \text{ width = 87 yards} \\ \text{  372 = 2\lparen l + 87\rparen} \\ \text{ Divide both sides by 2} \\ \text{ }\frac{372}{2}\text{ = }\frac{2}{2}(l\text{ + 87\rparen} \\ 186\text{ = l + 87} \\ \text{  subtract 87 from each sides of the equation} \\ \text{ 186 - 87 = l + 87 - 87} \\ \text{  99 = l} \\ l\text{ = 99 yards} \end{gathered}

Hence, the length of the rectangular field is 99 yards

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