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2 years ago

Covert fractions to percents 3/8=__

Mathematics

2 answers:

Ber [7]2 years ago

7 0

Answer:

Now we can see that our fraction is 37.5/100, which means that 3/8 as a percentage is 37.5%.

Step-by-step explanation:

sergij07 [2.7K]2 years ago

5 0

Answer: $\frac{3}{8}$ = 37.5%

Step-by-step explanation:

Convert the fraction into a percentage.

$\frac{3}{8}$ = $\frac{x}{100}$

Solve for x:

$\frac{3}{8}$ = $\frac{x}{100}$

3 × 100 = 300
300 ÷ 8 = 37.5

x = $\frac{37.5}{100}$ = 37.5%

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In the figure, ray OB bisects ∠TOY.

Levart [38]

Answer:

∠BOY = 38°

Explanation:

From the diagram, we can note that:

m∠TOY = m∠TOB + m∠BOY ...................> equation I

We are given that ray OB bisects the angle

Therefore:

m∠TOB = m∠BOY

Substitute in equation I:

m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II

We are given that:

m∠TOY = 8x-36

m∠TOB = x+24

Substitute with the givens in equation II and solve for x:

m∠TOY = 2m∠TOB

8x - 36 = 2(x + 24)

2(4x-18) = 2(x+24)

4x - 18 = x + 24

3x = 42

x = 14

This means that:

m∠TOB = x + 24 = 14 + 24 = 38°

Since

m∠TOB = m∠BOY

Therefore:

m∠BOY = 38°

Check:

m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB

Hope this helps :)

8 0

3 years ago

A ribbon is 12 3/8.Into how many 3/4 peices can it be cut?

lozanna [386]

namely how many times does 3/4 go into 12⅜?

let's firstly convert the mixed fraction to improper fraction, and then divide.

$\bf \stackrel{mixed}{12\frac{3}{8}}\implies \cfrac{12\cdot 8+3}{8}\stackrel{improper}{\cfrac{99}{8}} \\\\\\ \cfrac{99}{8}\div \cfrac{3}{4}\implies \cfrac{99}{8}\cdot \cfrac{4}{3}\implies \cfrac{99}{3}\cdot \cfrac{4}{8}\implies 33\cdot \cfrac{1}{2}\implies \cfrac{33}{2}\implies 16\frac{1}{2}$