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alukav5142 [94]
3 years ago
13

Lisa needs 18 yards of red, gold, and green fabric to make a quilt. She bought 6 3 4 6 3 4 yards of red fabric and 4 1 3 4 1 3 y

ards of gold fabric. What is the most accurateestimate for the amount of green fabric Lisa bought?
Mathematics
1 answer:
Rzqust [24]3 years ago
6 0

Complete Question

Lisa needs 18 yards of red, gold, and green fabric to make a quilt.

She bought 6 3/4 yards of red fabric and 4 1/ 3 yards of gold fabric. What is the most accurate estimate for the amount of green fabric Lisa bought?

Answer:

6 11/12 yards

Step-by-step explanation:

The total yards of fabric = Red + Blue + Green

18 = 6 3/4 + 4 1/3 + Green

Green = 18 - (6 3/4 + 4 1/3) yards

Lowest Common Denominator = 12

18 - (10 + ( 3/4 + 1/3) yards

18 - (10 + ( 9 + 4/12) yards

18 - ( 10 + 13/12) yards

18 - ( 10 + 1 1/12) yards

18 - 11 1/12 yards

= 6 11/12 yards

Therefore, the most accurate estimate for the amount of green fabric Lisa bought is 6 11/12 yards

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The pie chart shows information about the voters in an election 2800 more women voted than men work out the total number of vote
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The angle subtended by the women voters are 100° more than the angle subtended by the men voters.

  • The total number of voters are <u>10080 voters</u>

Reasons:

The angle subtended by the men on the pie chart = 130°

The number of women = 2800 + The number of men

Therefore;

Angle subtended by the women voters on the pie chart = 360° - 130° = 230°

The difference between the angle representing women and the angle

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Therefore;

100° = 2800

Which by common ratios gives;

\dfrac{100^{\circ}}{360^{\circ}} = \dfrac{2800}{Total \ number \  of \ voters }

100 × Total number of voters = 2800 × 360

The \  total \  number  \ of  \ voters = \dfrac{2800 \times 360}{100}  = 10080

The total number of voters = <u>10080</u>

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