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Ray Of Light [21]
3 years ago
13

ellen had 25 hair clips,7 of them were blue and the rest are purple.what percent of hair clips were purple

Mathematics
2 answers:
strojnjashka [21]3 years ago
6 0
Answer=72%

25-7=18purple clips

  18       x
____=____
  25     100

cross multiply
25x=1800
divide both sides by 25
x=72%
Tcecarenko [31]3 years ago
3 0

Ellen had 25 hair clips. 7 of them were blue and the rest were purple. What percent of hair clips were purple?

To find out how many hair clips are purple, we can subtract 7 from 25 to see how many hair clips are purple. 25 - 7 = 18 so we now know that 18 hair clips are purple.

The fraction \frac{18}{25} represents the number of purple hair clips Ellen has out of all the hair clips together.

To find what percent of the hair clips are purple, we can turn this into a fraction.

18 ÷ 25 = 0.72

0.72 × 100 = 72%

Therefore, 72% of Ellen's hair clips were purple.

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<u>refer</u><u> </u><u>the</u><u> attachment</u>

to solve the question we need to recall one of the most important theorem of circle known as two tangent theorem which states that <u>tangents </u><u>which</u><u> </u><u>meet </u><u>at</u><u> the</u><u> </u><u>same</u><u> </u><u>point</u><u> </u><u>are </u><u>equal</u><u> </u><u> </u>that is being said

  • FA=AI=17
  • CH=CG=2.5

since \rm BA=FA+FB and it's given that FA and BA are 17 and 29 FB should be

  • \rm 29=17+FB

therefore,

  • FB=29-17=\boxed{12}

once again by two tangent theorem we acquire:

  • FB=BH=\boxed{12}

As BC=BH+CH,BC is

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likewise,AD=AI+DI so,

  • 21=17+DI [AD=21(given) and AI=17 (by the theorem)]

thus,

  • DI=21-17=\boxed{4}

By the theorem we obtain:

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Similarly,DC=DG+CH therefore,

  • DC=4+2.5=\boxed{6.5}

Now <u>finding</u><u> </u><u>the</u><u> </u><u>Perimeter</u><u> </u><u>of </u><u>ABCD</u>

  • P_{\text{ABCD}}=\text{AB+AD+BC+DC}

substitute what we have and got

  • P_{\text{ABCD}}=\text{29+21+14.5+6.5}

simplify addition:

  • P_{\text{ABCD}}=\boxed{71}

hence,

the Perimeter of ABCD is <u>7</u><u>1</u>

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The correct answer is (( D )) .

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