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Annette [7]
3 years ago
9

6 plates and 5 cups cost 32.10 dollars. 7 plates and 6 cups cost 37.70 dollars. Each plate costs the same amount as the other pl

ates, and each cup costs the same amount as the other cups. What is the cost of 1 plate? What is the cost of 1 cup?
Mathematics
2 answers:
slavikrds [6]3 years ago
8 0

Answer:

Plates are 2.80 Dollars and cups are 1.40 dollars

Step-by-step explanation:

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

MrRa [10]3 years ago
3 0

Answer:

the cost of 1 plate  $4.1

the cost of 1 cup $1.5

Step-by-step explanation:

6p + 5c = 32.10

7p + 6c=  37.70

Multiply the first by 6

Multiply the second by -5

and then ADD both

36p +30c = 192.6

-35p-30c =  -188.5   (30c is cancelled)

p = 4.1

4.1(6) +5c = 32.10

24.6 +5c = 32.10

5c = 7.5

c= 1.5

1.5(5) =7.5

24.6 + 7.5 = 32.10

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zaharov [31]

Answer:

Rectangle is a 2dimensional shape so, let me explain using it

The diagonal of a rectangle divides the rectangle into two triangles that are congruent and they are the same size and shape.

Another example is parallelogram

The diagonal of a parallelogram also divides the figure into two triangles that are congruent.

Step-by-step explanation:

6 0
3 years ago
The cost of turkey is directly proportional to its weight. If a 12-pount turkey costs $27, how much does a 13-pound turkey cost?
Pavel [41]

Answer:

$29.25

Step-by-step explanation:

Divide the cost of the turkey by 12 to obtain the unit cost then multiply this by 13

cost = \frac{27}{12} × 13 = $29.25


6 0
3 years ago
Read 2 more answers
What are the ordered pairs of the
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Answer:

its definitvely 6

Step-by-step explanation:

2 by 4 by the 3 empfs and by the 123 divided by the 360 and by the iscoceles and the 4 cohedrons

5 0
2 years ago
I need help with both of these questions please
tankabanditka [31]

Answer:

\frac{22}{30} = \frac{11}{15}

and

\frac{176}{7} = 25 \frac{1}{7}

Step-by-step explanation:

First make all the fractions into improper fractions

1\frac{5}{6} = \frac{11}{6} \\\\2\frac{1}{2} = \frac{5}{2} \\\\3\frac{1}{7} = \frac{22}{7}

After doing that put them back into the problems

Problem 1)

1\frac{5}{6}  ÷ 2\frac{1}{2} , plug in the improper fractions

\frac{11}{6} ÷ \frac{5}{2}

to divide, you need to flip the second fraction and multiply

\frac{11}{6}· \frac{2}{5} = \frac{22}{30}

then reduce

\frac{22}{30} = \frac{11}{15}

Problem 2)

3\frac{1}{7}÷ \frac{1}{8}\\

Plug in improper fraction

\frac{22}{7} ÷ \frac{1}{8}\\

Then flip second fraction and multiply

\frac{22}{7} · \frac{8}{1}

Multiply

\frac{176}{7}

Reduce, or make it a mixed number

\frac{176}{7} = 25 \frac{1}{7}

3 0
3 years ago
Can someone please help me on this question? This question has 2 answer choices. Thank you.
grin007 [14]
Hello!

To solve this you have to find the ratio between the two cylinders

Cylinder 1 height is 30
Cylinder 2 height is 20

this is a 30:20 ratio

This can be reduced to a 3:2 ratio

Now you look for one that are also equal to 3:2

3 * 7 = 21
2 * 7 = 14

The answers are 3:2 and 21:14

Hope this helps!
4 0
3 years ago
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