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Elis [28]
2 years ago
11

6 plates and 5 cups cost 23.80 dollars. 7 plates and 6 cups cost 28.00 dollars. Each plate costs the same amount as the other pl

ates, each cup costs the same amount as the other cups. What is the cost of one plate? What is the cost of 1 cup?
Mathematics
1 answer:
MrRa [10]2 years ago
6 0

Answer:

c = $1.4

p = $2.8

Step-by-step explanation:

two equations can be derived from the question

6p + 5c = 23.80 equation 1

7p + 6c = 28  equation 2

p = plates

c - cups

multiply equation 1 by 7 and equation 2 by 6

42p + 35c = 166.60  equation 3

42p + 36c = 168  equation 4

subtract equation 3 from 4

c = 1.4

substitute for c in equation 1

6p + 5(1.4)  = 23.80

p = (23.80 - 7) / 6

p = 2.8

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Hope this helped! :)

3 0
3 years ago
Mr. Suárez wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so that he will know how
WINSTONCH [101]

Answer:

Lateral surface area of the storage shed = 336 ft²

Step-by-step explanation:

The picture is the complete question.

The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.

lateral area of a rectangular prism = 2h (l + w)

where

l = length

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w = width

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3 years ago
you and your friend want to meet up to play fortnite on February 1st what is the probability that the date falls on a Wednesday​
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Step-by-step explanation:

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3 years ago
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