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givi [52]
3 years ago
5

The ratio of the diameters of two circles is 3:5. The circumference of the larger circle is approximately 113.1 m. What is the a

pproximate circumference of the smaller circle?
7.5 m

22.6 m

67.9 m

188.5 m
Mathematics
2 answers:
rusak2 [61]3 years ago
8 0
<h2>Answer: C</h2><h2>67.9 m</h2>

Step-by-step explanation:

Tomtit [17]3 years ago
5 0
Given:
diameter of two circles  3:5
small circle : 3
large circle : 5

circumference of two circles x : 113.1
small circle : ? 
large circle : 113.1 m

3:5 = x :113.1
3*113.1 = 5*x
339.3 = 5x
339.3 / 5 = x
67.86 = x

The approximate circumference of the smaller circle is 67.9 m.
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The circumference of a circle varies directly as the diameter of a circle. When the diameter of a circle is 5, the circumference
Naya [18.7K]

Answer:

20.3 units

Step-by-step explanation:

Write and solve an equation involving ratios:

 5 units       15.7 units

------------- = ----------------

 9 units             C

Cross-multiplying, we get 5C = 9(15.7), with C measured in "units."

Then 5C = 141.3, so that C = 141.3 units   /   5   =   20.3 units.

5 0
3 years ago
Read 2 more answers
what is the probability of rolling 6 five times in a row? Write your answer as a fraction in simplest form.
qaws [65]

Answer:

1/7776.

Step-by-step explanation:

The probability of rolling a six in 1 throw = 1/6.

Rolling   a 6 5 times in a row = (1/6)^5

= 1/7776.

The probability is multiplied because each roll is independent from other rolls.

5 0
3 years ago
Read 2 more answers
A^2+2ab+b^2. solve for a=10 and b=50
qaws [65]
A² + 2ab + b² ; Solve when a=10 & b=50

Simply plug in 10 for a and 50 for b in our given equation :)

(10)² + 2(10)(50) + (50)²

Simplify.

100 + 20(50) + 2500

Simplify.

(100 + 2500) + 1000

Simplify.

2600 + 1000

Simplify.

3600

Hope I helped! :)

3 0
3 years ago
From 12,000 graphing calculators produced by a​ manufacturer, an inspector selects a random sample of 550 calculators and finds
maria [59]

Answer:

131

Step-by-step explanation:

Using proportion,

If Out of 550 calculators = 6 are defective,

Then out of 12000 calculators = ? are defective

\frac{12000 calculators}{550calculators} * 6

= 21.8 * 6

= 130.8 ≈ 131

∴ Approximately 131 calculators are defective

3 0
4 years ago
For a club gathering you were having, you bought a total of 50 burgers, and spent $90. You paid $2 per turkey burger, and $1.50
Sedaia [141]

Answer:

<u></u>

  • <u>No. You would have to cut the number of veggie burgers in more than half.</u>

Explanation:

<u>1. Model the situation with a system of equations</u>

<u />

<u>a) Name the variables:</u>

  • number of turkey burgers: t
  • number of veggie burgers: v

<u />

<u>b) Number of burgers:</u>

  • 50 = t + v

<u />

<u>c) Cost of the 50 burgers:</u>

  • $90 = 2t + 1.50v

<u>2. Solve that system of equations:</u>

<u />

<u>a) System</u>

  • 50 = t + v
  • 90 = 2t + 1.50v

<u>b) Mutliply the first equation by 2 and subtract the second equation</u>

  • 100 = 2t + 2v
  •  90 = 2t + 1.50v

  • 10 = 0.5v
  • v = 20 ⇒ t = 50 - 20 = 30

<u />

<u>c) How much would you spend if the next year you buy the double of 20 turkey burgers (40) and the half of 30 veggie burgers (15)</u>

  • $2(40) + $1.50(15) = $80 + $22.50 = $102.50

Then, you if you double the number of turkey burgers, and cut the number burgers in half, you would spend more than $90 ($102.50).

6 0
4 years ago
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