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Romashka [77]
3 years ago
14

Tools return to our hardware store as damaged or resold has damaged at a reduced price 32% of the original price of $164.95. wha

t was the new price?​
Mathematics
2 answers:
Anna [14]3 years ago
8 0

Answer: The new price is $ 112.17

Step-by-step explanation:

Hi, to solve this problem we have to calculate the 32% of the original price ($164.95).

So:

$164.95 x 0.32= $52.78

Now that we have calculated the percentage, the next step is to subtract that result to the original price.

$164.95 - $52.78 =$ 112.17

The new price is $ 112.17

Feel free to ask for more if it´s necessary or if you did not understand something

Alina [70]3 years ago
5 0

Answer:

$112.17

164.95 * 0.32 = 52.784

164.95 - 52. 784 = 112.166

112.166 = 112.17

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Answer:

i. The ratio of the areas of the two triangles is 5:8.

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Step-by-step explanation:

Let the area of the smaller triangle be represented by A_{1}, and that of the larger triangle by A_{2}.

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Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

\frac{area of the smaller triangle}{area of the larger triangle}

Area of smaller triangle = \frac{1}{2} x b x h

                                       = \frac{1}{2} x 5 x h

                                       = \frac{5}{2}h

Area of the lager triangle = \frac{1}{2} x b x h

                                           = \frac{1}{2} x 8 x h

                                           = 4h

So that;

Ratio = \frac{\frac{5}{2}h }{4h}

         = \frac{5}{8}

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

\frac{area of the smaller triangle}{area of the larger triangle} = \frac{5}{8}

\frac{15}{A_{2} } = \frac{5}{8}

5 A_{2} = 15 x 8

       = 120

A_{2} = \frac{120}{5}

    = 24

The area of the larger triangle is 24 in².

         

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