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Lisa [10]
2 years ago
8

Kala got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store

. The price of the ribbon was 12 cents per yard. If after that purchase there was $21.28 left on the card, how many yards of ribbon did Kala buy?​

Mathematics
1 answer:
irina [24]2 years ago
8 0

Answer:

31 yards of ribbon

Step-by-step explanation:

Of after purchasing the ribbon in bulk she has $21.28 left from her initial $25 it would mean that she spent $3.72 in total.

25 - 21.28 = 3.72

So in spending $3.72 on ribbons we can find how much yards she bought by seeing how many times 12 cents can go into the $3.72 (the amount of money she spent).

0.12 \sqrt{3.72}  = 31

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Step-by-step Example 1:

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a .

So, measure of the other angle is 2a .

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So, a+2a=180°

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To isolate a , divide both sides of the equation by 3 .

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The measure of the second angle is,

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So, the measures of the two supplementary angles are 60° and 120° .

Step-by-step Example 2:

Find m∠P  and  m∠Q if ∠P  and  ∠Q are supplementary, m∠P=2x+15 , and m∠Q=5x−38 .

The sum of the measures of two supplementary angles is 180° .

So, m∠P+m∠Q=180°

Substitute 2x+15 for m∠P and 5x−38 for m∠Q .

2x+15+5x−38=180°

Combine the like terms. We get:

7x−23=180°

Add 23 to both the sides. We get:

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Divide both the sides by 7 .

7x7=203°7

Simplify.

x=29°

To find m∠P , substitute 29 for x in 2x+15 .

2(29)+15=58+15

Simplify.

58+15=73

So, m∠P=73° .

To find m∠Q , substitute 29 for x in 5x−38 .

5(29)−38=145−38

Simplify.

145−38=107

So, m∠Q=107° .

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