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3 years ago

45% of 120 is what answer please

Mathematics

2 answers:

AnnZ [28]3 years ago

8 0

Answer:

Step-by-step explanation:

120 x .45 = 54; and to check

54 ÷ 120 = 0.45

First you move the decimal point to the right 2 spaces to change the percent (%) to a decimal (change 45% to .45); and then you multiply by the 120. So it turns into

.45 x 120 = 54 the answer is: 54

To check you go in the opposite direction. Move the decimal point to the right ( 45 x 120 ) and the answer is 5400; which is a whole number, which means the decimal is invisibly at the end; then move the decimal point back two spaces to the left and it now looks like this 54.00; which is a whole number and the two zeros at the end can be taken off; there's that invisible decimal that makes it a whole number that you p.s. don't ever need... You are right back to 54 :)

Hope that helps! <3

marishachu [46]3 years ago

5 0

Answer:

Step-by-step explanation:

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Triangle VXW is similar to triangle ZXY. Triangle V X W. Side V W is 12 miles and side V X is 14 miles. Triangle Z X Y. Side Y Z

amid [387]

Answer: Kara should have written the proportion in step 1 as;

Start Fraction 12 Over 72 End Fraction = Start Fraction 14 Over x End Fraction (that is 12/72 = 14/x)

Step-by-step explanation: The two similar triangles are given with the following dimensions;

Triangle VXW with side VW = 12 and side VX = 14. Also Triangle ZXY with side YZ = 72 and side XZ = x.

For two triangles to be similar, then there must be a similarity ration that is consistent with all sides in both triangles. This means if in the first triangle a side measures 1 unit and the similar side in the other triangle measures 5 units, then the ratio of similarity of corresponding sides shall be ratio 1 : 5. So for every corresponding side in the second triangle the measurement shall be times five of the side that corresponds in the first triangle.

Therefore, in triangle VXW and triangle ZXY, the corresponding sides are as follows;

VX = ZX

VW = ZY

XW = XY

What Kara did was as follows;

VX/ZY = VW/ZX

Which translates to 14/72 = 12/x

This was a wrong calculation because the side that corresponds to VX is ZX and not ZY.

The correct step should therefore have been;

VW/ZY = VX/ZX

12/72 = 14/x (Step 1)

12x = (72) (14) {Step 2}

x = 1008/12 (Step 3)

x = 84 (Step 4)

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3 years ago

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