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Vlada [557]
3 years ago
12

Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 100 rotations of the wheel. She wants

to know how far Chubby ran, so she measures the diameter of the wheel and finds that it is 8 inches. How far did Chubby run? Give your answer in terms of pi. (prize is 99 points)
Mathematics
2 answers:
Fantom [35]3 years ago
5 0
Answer: 800pi inches

=======================================

Explanation:

The formula to find the circumference of a circle is
C = pi*d
where
C = distance around the circle (aka circumference)
pi = 3.14 approximately
d = diameter

We know that the diameter of the wheel is d = 8, so 
C = pi*d
C = pi*8
C = 8pi
is the circumference of the wheel

One full rotation will have the wheel cover a distance of 8pi inches. Imagine that wet paint is on the outer surface of the wheel. If the wheel is rolled out in a straight line, then the wet paint would cover a linear distance of 8pi inches along the flat ground. This is one full rotation, so 100 rotations covers 100*8pi = 800pi inches

Note: if we use pi = 3.14 as the approximation, then the hamster ran approximately 800*pi = 800*3.14 = 2512 inches if the wheel could move
Kay [80]3 years ago
3 0

Answer:

6280

Step-by-step explanation:

It's 6280

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Jada earned a 7% commission on a $500 sale of a boat. How much was her commission?
iogann1982 [59]

Answer:

$35

Step-by-step explanation:

To solve this problem you need to know how what and how is percentage work.

Percentage(%) is a unit that equals to 1/100 or one hundredths. So, 7% will be equal to 7*1/100= 7/100. The commission is given based on the price of the boat. If the boat sold at $500 the commission will be:

commission= percentage * boat price

commission= 7/100 * $500

commission= $35

5 0
3 years ago
Solve each absolute value equation number 1 |2x-3|=7​
Dmitriy789 [7]

Answer:

x = -2,  5.

Step-by-step explanation:

|2x - 3| = 7

2x - 3 = 7

2x = 10

x = 5 or:

2x - 3 = -7

2x = -4

x = -2.

3 0
3 years ago
2/11 into lowest terms
docker41 [41]

If you mean lowest terms as in fully simplified, then your fraction "2/11" is already in lowest terms.
Lowest terms mean that your numerator and denominator have no common factors apart from 1.

2 and 11 don't have any common factors, therefore 2/11 is in lowest terms already.

5 0
2 years ago
A kicker made 10 of his last 12 field goals. Predict about how many of his next 42 field goals the kicker will not make. Show yo
dimulka [17.4K]

The number of his next 42 field goals the kicker will not make will be 35.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

A kicker made 10 of his last 12 field goals.

Predict the number of his next 42 field goals the kicker will not make will be

Let x be the number of his next 42 field goals the kicker will not make.

Then we have

x / 10 ≠ 42 / 12

      x ≠ 35

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ1

4 0
2 years ago
The interarrival time of nuclear particles in a Monte Carlo simulation of a reaction is designed to have a uniform distribution
jekas [21]

Answer:

Incomplete question, but you can use the formulas given to solve it.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Uniform distribution over an interval from 0 to 0.5 milliseconds

This means that a = 0, b = 0.5

Determine the probability that the interarrival time between two particles will be:

Considering a = 0, b = 0.5, and the question asked, you choose one of the three formulas above.

7 0
3 years ago
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