Mathematics, 01.04.2020 20:03, Imanilh

Savannah and sarah are planning on riding their bikes to a point located 1100 feet from their house. Their bicycle tires have a diameter of 26 inches. How many revoloutions will their tires make on the path from their house to the park

Answers: 2

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Answers

answered: chrisimichaels7497

162 revolutions.

Step-by-step explanation:

Given:

Savannah and Sarah are planning on riding their bikes to a point located 1100 feet from their house.

Their bicycle tires have a diameter of 26 inches.

Question asked:

How many revolutions will their tires make on the path from their house to the park ?

Solution:

To calculate the number of revolutions their tires made, we will first calculate distance traveled by their tire in one revolution by using circumference of circle formula:-

Diameter = 26 inches

Radius,r = $\frac{Diameter}{2} =\frac{26}{2} =13\ inches$

$Circumference\ of\ circle = 2\pi r$

$=2\times\frac{22}{7} \times13=\frac{572}{7} =81.71\ inches$

Convert 1100 feet into inches.

1 feet = 12 inch

1100 feet = 12 $\times$ 1100 = 13200 inches

Now, by unitary method:

81.71 inches traveled by tires in = 1 revolution

1 inches traveled by tires in = $\frac{1}{81.71} \ revolution$

13200 inches traveled by tires in = $\frac{1}{81.71}\times13200=\frac{13200}{81.71} =161.54\ revolution$

Thus, total of about 162 revolutions their tires will take from their house to the park.

answered: Guest

Using the rise/run rule. you would get 2/6.simp. 1/3
What is the slope of the line in the following graph? 1/3 1/2 2 3

answered: Guest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

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