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Alex787 [66]
4 years ago
7

2. The figures in each pair are similar. Find the value of each variable. Show your work.

Mathematics
2 answers:
Gelneren [198K]4 years ago
8 0
Line up the shapes.
a.  2/8 = x/16

b.  12/4 = 18/x = y/8

c.  6/4=8/y=7/x

a.  Cross multiply. 8x = 2*16
8x = 32
divide both sides by 8
x = 4

b.  12/4 = 18/x
cross multiply
12x = 18*4
12x = 72
divide both sides by 12
x = 6

12/4 = y/8
cross multiply
4y = 12*8
4y = 96
divide both sides by 4
y = 24

c.  6/4 = 8/y
cross multiply
6y = 8*4
6y = 32
divide both sides by 6
y = 32/6 = 16/3

6/4 = 7/x
cross multiply
6x = 7*4
6x = 28
divide both sides by 6
x = 14/3
Olegator [25]4 years ago
4 0
I hope this helps you option C Y = 16/3

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                 Converting decimals to fractions first requires an understanding of the decimal places that fall after the decimal.  One place after the decimal is the tenths place.  If you have a decimal that ends at one place after the decimal (or in the tenths place) it can be written as the number after the decimal in the top of the fraction and ten (tenths place) in the denominator.  ex.   .5 ends one place after the decimal and can be written as 5/10...(read as five tenths).

If a decimal ends at two places after the decimal...(ex.   .75)...it ends in the hundredths place, can be written as that number in the numerator and 100 in the denominator....(ex  75/100) and is read as seventy-five hundredths. 

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Because each decimal in your problem has a different amount of decimal places, it makes for different denominators. But, We can add a zero to the end of a decimal without changing it's value; if we add a zero to the end of .5 and make it .50 , we then can write it as 50/100 and would now have like denominators.

if .5 = .50 = 50/100 and .75 = 75/100

we now have the question what fractions can fall between 50/100 and 75/100. 

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23.82 rounds to 24

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