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Nady [450]
3 years ago
10

Raul ordered 1 small photo enlargement and 4 medium photo enlargements for $29. Patricia ordered 5 small photo enlargements and

2 medium photo enlargments for $28
Mathematics
1 answer:
8_murik_8 [283]3 years ago
4 0

Answer:

m = $6.5

s = $3

Step-by-step explanation:

Raul ordered 1 small photo enlargement and 4 medium photo enlargements for $29. Patricia ordered 5 small photo enlargements and 2 medium photo enlargments for $28. determine the price of the small photo enlargements and medium photo enlargments

two equations can be derived from the question

s + 4m  = 29 equation 1

5s + 2m = 28 equation 2

where

s = small photo enlargements

m = medium photo enlargements

multiply equation 1 by 5

5s + 20m = 145 equation 3

subtract equation 2 from 3

18m = 117

m = 6.5

substitute for m in equation 1

s = 29 - (4 x 6.5)

s = 3

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Subtract 15 from 45 and divide by 3​
serg [7]

Answer:

10

Step-by-step explanation:

45-15=30

30/3=10

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55 And 57

Step-by-step explanation:

55, 56, 57,

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The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh
postnew [5]

Answer:

  48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

__

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

  x/y = 8/9

After the changes in weight, they were equal:

  x+2 = y-4

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<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

  y = x +6 . . . . . . . . . . solve the second equation for y

  x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

  9x = 8(x +6) . . . . . . . multiply by 9(x+6)

  x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

3 0
1 year ago
Please help me I’m in finals a don’t want to fail
Misha Larkins [42]

Answer:

1, 2, 3

Step-by-step explanation:

X <= 20 means that x has to be less than OR equal to 20.

The first option is -100. That's less than 20, so this statement is true.

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The third option is 20. This is equal to 20, so this is also true.

The fourth option is 21, which is greater than 20, so it's not true.

The fifth option is 45, which is greater than 20, so it's not true.

Sorry I answered so late, hope this helps even though you probably don't need it anymore.

4 0
3 years ago
Quickly what is the answer to this and why
Darya [45]

Answer:

Q = 146

Step-by-step explanation:

We know that angle S and T are equal because the sides are equal

The measure of the exterior angle is equal to the sum of the opposite interior angles in a triangle

Q = S+T

Q = S+S

Q = 2S

Q =2* 73

Q = 146

5 0
3 years ago
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