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Marianna [84]
3 years ago
8

Last month you spent ​$40 on clothing. This month you spent ​120% of what you spent last month. Set up a proportion to model thi

s situation. How much did you spend this​ month?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

$48

Step-by-step explanation:

Given that:

Money spent on clothing last month = $40

Money spent this month is 120% of the spending of the last month.

To find:

A proportion to model this situation.

And the spending done this month?

Solution:

Let us have a look at 120% first.

120\%= \dfrac{120}{100} = \dfrac{6}{5}

\frac{6}{5} of x can be found by comparing x with 5, then we have to find the equivalent of 6.

Here, x is 40.

5 parts are equivalent to 40

1 part is equivalent to \frac{40}{5} = 8

6 parts are equivalent to 8\times 6 = 48

OR

simply:

40 \times \dfrac{120}{100} = 48

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3 years ago
Solve for r. s=2πrh
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Answer:

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4 years ago
Polygon X is similar to polygon Y. Polygon X is three times the size of polygon Y. The perimeter of polygon X is 81. What is the
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Step-by-step explanation:

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SVETLANKA909090 [29]

Given:

A(16, 4)

B(34, 40)

Line segment AB partition in the ratio 1 : 5.

To find:

The coordinate of a point that partitions AB.

Solution:

Section formula:

$P(x,y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+m y_{1}}{m+n}\right)

Here x_1=16, y_1=4, x_2=34, y_2=40 and m = 1, n = 5

$P(x,y)=\left(\frac{1\times 34+5 \times 16}{1+5}, \frac{1\times 40+5 \times4}{1+5}\right)

$P(x,y)=\left(\frac{ 34+80}{6}, \frac{40+20}{6}\right)

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The coordinate of point that partitions the segment AB is (19, 10).

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