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Softa [21]
2 years ago
5

6 plates and 5 cups cost 23.80 dollars. 7 plates and 6 cups cost 28.00. Each plate costs the same as the other plates, each cup

costs the same as the other cups. What is the cost of 1 plate? What is the cost of 1 cup?
Mathematics
1 answer:
andrey2020 [161]2 years ago
7 0
Cups = c
Plates = p

6p + 5c = 23.80 ==> multiply by 6 ==> 36p + 30c = 142.80
7p + 6c = 28.00 ==> multiply by 5 ==> 35p + 30c = 140.00


Now use algebra to have the 30c be on one side and the rest on the other:

36p + 30c = 142.80 | -36p

30c = 142.80 - 36p


35p + 30c = 140.00 | -35p

30c = 140.00 - 35p


Now set them equal to each other about the 30c:

142.80 - 36p = 140.00 - 35p


Use algebra to solve for p:

142.80 - 36p = 140.00 - 35p | +36p

142.80 = 140.00 + p | - 140

2.80 = p


Go back to one of the "30c" equations and plug in the value for p:

30c = 140 - 35p

30c = 140 - 35(2.80)

30c = 140 - 98

30c = 42 | /30

c = 42/30

c = 1.4


Plates are $2.80
Cups are $1.40
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Answer:

The woman bought 2 items at $12 each.

Step-by-step explanation:

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Rainbow [258]

Answer:

D. 84 ft^2

Step-by-step explanation:

Formula for area of a trapezoid:

A=\frac{a+b}{2} h

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A=\frac{9+12}{2} \\9+12=21\\\frac{21}{2} =10.5\\10.5*8=84

Hence, the area of the trapezoid is 84ft² and your answer is D

4 0
2 years ago
There are 18 stores in California and 12 stores in Nevada the shops opens 10 new stores some are in California, and some are in
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25 POINTS PLEASE PLEASE HELPPPP, ALSO THE QUESTION IS WORTH 4 MARKS SO PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPP
patriot [66]
So u already know that the radius is half of the circle which in this case is 28 mm. And both circles at the top touch both sides of the rectangle.
Process:
28x4=112.
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|4| |-4|, greater than, less than, or equal to?
vovikov84 [41]
The absolute value is always positive, so the numbers would be 4 and 4. 
Those are two equal numbers so it is: equal to
Hope this helps. 
6 0
3 years ago
Read 2 more answers
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