Writing Proportions And Circle Area

  • CCSS.Math.Content
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1) A proportion is a set of two equal ____.

Explanation

A proportion is a set of two equal fractions or ratios. In a proportion, the numerator of one fraction is equal to the numerator of the other fraction, and the denominator of one fraction is equal to the denominator of the other fraction. This means that the two fractions are equivalent and represent the same value. Therefore, both fractions and ratios can be used to describe a proportion.

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Writing Proportions And Circle Area - Quiz

Please take care with your answers. You will have only one chance with this quiz. I wish each student luck with this quiz.

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2) If the diameter of a circle is 10m, what is the radius of that circle?

Explanation

The radius is half the diameter.

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3) If the diameter of a circle is 14m, what is the radius of that circle?

Explanation

The radius is half the diameter.

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4) If the diameter of a circle is 20m, what is the radius of that circle?

Explanation

The radius is half the diameter.

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5) Solve the proportion.1 fifth equals x over 9

Explanation

1 fifth equals x over 9<br />
C r o s s space m u l t i p l y.<br />
5 x equals 9<br />
D i v i d e<br />
x equals 9 over 5

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6) Hank just finished his meal at a restaurant and received the $34 bill. He would like to leave a 15% tip to show his appreciation for the great service.Select all equations that would help Hank calculate his total bill including tip.

Explanation

Hank wants to leave a 15% tip on his $34 bill. To calculate the tip amount, he needs to multiply the bill amount by 15% (or 0.15). This can be represented by the equation: Tip amount = $34 * 0.15. To calculate the total bill including the tip, Hank needs to add the tip amount to the original bill amount. This can be represented by the equation: Total bill = $34 + Tip amount.

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7) Hank just finished his meal at a restaurant and received the $26 bill. He would like to leave a 10% tip to show his appreciation for the great service.Select all equations that would help Hank calculate his total bill including tip.

Explanation

Hank wants to leave a 10% tip on his $26 bill. To calculate the tip amount, he needs to multiply the bill amount by 10% (or 0.10). So, the equation that would help Hank calculate his tip is: Tip = $26 * 0.10.

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8) Hank just finished his meal at a restaurant and received the $32 bill. He would like to leave a 20% tip to show his appreciation for the great service.Select all equations that would help Hank calculate his total bill including tip.

Explanation

To calculate the total bill including the tip, Hank needs to add the tip amount to the original bill amount. Since he wants to leave a 20% tip, he can multiply the bill amount by 0.2 to find the tip amount. Then, he can add the tip amount to the bill amount to get the total bill including tip. The equation that represents this is: Total bill = Bill amount + (Bill amount * 0.2).

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9) Solve the proportion.2 over 5 equals x over 8

Explanation

2 over 5 equals x over 8<br />
C r o s s space m u l t i p l y.<br />
5 x equals 16<br />
D i v i d e<br />
x equals 16 over 5

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10) 12 markers cost $9. Which fraction will complete the proportion to find the cost of 15 markers?12 over 9 equals

Explanation

not-available-via-ai

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11) Solve the proportion.2 over 3 equals 5 over x

Explanation

2 over 3 equals 5 over x<br />
C r o s s space m u l t i p l y.<br />
15 equals 2 x<br />
D i v i d e.<br />
15 over 2 equals x
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12) Complete the proportion.4 markers cost $5. What is the cost of 11 markers?4 over 5 equals

Explanation

not-available-via-ai

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13) What is the area of a circle with a circumference of 16 straight pi?

Explanation

If the circumference is 16pi, then the radius is 8. Square 8 to get 64. The area is 64pi.

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14) Complete the proportion.13 markers cost $14. Which fraction will complete the proportion to find the cost of 7 markers?13 over 14 equals

Explanation

not-available-via-ai

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15) What is the area of a circle with a circumference of 20 straight pi?

Explanation

If the circumference is 20pi, then the radius is 10. Square 10 to get 100. The area is 100pi.

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A proportion is a set of two equal ____.
If the diameter of a circle is 10m, what is the radius of that circle?
If the diameter of a circle is 14m, what is the radius of that circle?
If the diameter of a circle is 20m, what is the radius of that circle?
Solve the proportion.
Hank just finished his meal at a restaurant and received the $34 bill....
Hank just finished his meal at a restaurant and received the $26 bill....
Hank just finished his meal at a restaurant and received the $32 bill....
Solve the proportion.
12 markers cost $9. Which fraction will complete the proportion to...
Solve the proportion.
Complete the proportion.4 markers cost $5. What is the cost of 11...
What is the area of a circle with a circumference of ?
Complete the proportion.13 markers cost $14. Which fraction will...
What is the area of a circle with a circumference of ?
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