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lyudmila [28]
3 years ago
6

50 POINTS!!! jamie will choose between two catering companies for an upcoming party. company A chargers a set-up fee of $500 plu

s $25 for each guest. company B charges a set-up fee of $200 plus $30 per guest.
a. write expressions that you can use to determine the amount each company charges
b. jamie learns that the $500 set-up fee for company A includes payment for 20 guests. The $25 per guest charge is for every guest over the first 20. if there will be 50 guests, which company will cost the least? explain.
Mathematics
2 answers:
Shtirlitz [24]3 years ago
5 0

Answer:

60 guests

Step-by-step explanation:

We'll say that the number of guests is n.

We're looking for the n where both of these expressions are equal:

Company A (500 set-up fee, 25 for each guest)

500 + 25 * n

Company B (200 set-up fee, 30 for each guest)

200 + 30 * n

500 + 25n = 200 + 30n

Subtract 200 from both sides.

300 + 25n = 30n

Subtract 25n from both sides.

300 = 5n

We'll reverse the sides.

5n = 300

Divide both sides by 5.

n = 300/5 = 60

Thus, both companies are equal when n is 60, or when there are 60 guests.

Lapatulllka [165]3 years ago
4 0

Answer:

A. Company A

     500 + (25) y

     Company B

     200 + (30) y

B.   Company b is less expensive. $200 for 20 guests, and $900 for 30 more guests. In total, You’ll have to pay $1,100 for Company b. Company a, on the other hand, for 20 guests thats $500. Adding $750 for having 30 more guests. In total for company a, that’s $1,250. Therefore, company b is the least expensive.

<h2>brainliest plz?</h2>

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Step-by-step explanation:

1. To solve this problem you can applly the quadratic formula, which is shown below:

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x^{2}+6x-6-10=0\\x^{2}+6x-16=0

3. Then:

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4 0
3 years ago
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timofeeve [1]

The expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

<h3>What is a rectangle?</h3>

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

The area of the rectangle is the product of its length and its width. Therefore, the area of the given rectangle is,

Area = (2x-4)(x+5)

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Hence, the expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

The complete question is:

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

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The image of the rectangle is given below.

Learn more about Rectangle:

brainly.com/question/15019502

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