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salantis [7]
3 years ago
15

Willy rents a bike for 7 days. The charge is $15 plus the $0.08 per mile. He wants to spend exactly $35. How many miles can he r

ide the bike? *
Mathematics
1 answer:
Burka [1]3 years ago
3 0

Answer:

Willy can ride the bike for 250 miles.

Step-by-step explanation:

$35 - $15 = $20

$0.08 × 12.5 = $1

$1 per 12.5 miles

$20 × 12.5 = 250

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Has one negative and one positive coefficient Simplifies to 5x + 12​
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2 years ago
Five distinct numbers are randomly distributed to players numbers 1 through 5. Whenever two playerscompare their numbers, the on
ad-work [718]

Answer:

Observe that the first and the second player have equal probability to get any of number. Using the principle of that symmetry, we have that  

P(X=0)=\frac{1}{2}

<u>Event X = 1 </u>means that the first player has got greater number than the second player, but not than the third player. So, choose any three numbers out of five of them and say that the minimal number out of these three goes to the second player, mean number to the first one and the largest to the third one. Permute remaining two numbers on remaining two people. Hence

P(X=1)=\frac{1}{6}

<u>Event X = 2</u> means that the first player has got greater number than the second and the third player, but not than the fourth player. So, choose any four numbers out of five of them and say that the minimal number and the next minimal out of these four go to the second and the third player (and permute them), third number to the first one and the largest to the fourth player. Give remaining number to the last person. Hence

P(X=2)=\frac{1}{12}

<u>Event X = 3</u> means that the first player has got greater number than the second, the third, and the forth player, but not than the fifth player. So, permute these five numbers as follows: give the highest to the last person, the second highest to the first, and permute remaining numbers on the remaining people. Hence  

P(X=3)=\frac{1}{20}

<u>Event X = 4</u> means basically the first player has won all the battles i.e, he has got the greatest number. Hence

P(X=4)=\frac{1}{5}

7 0
3 years ago
Circle R has a radius of 6 inches. Points S, T, and U lie on circle R, clockwise in alphabetical order. If m∠TRS = 98°, what is
Alecsey [184]
<span>You are given circle R that has a radius of 6 inches. And then you are given points S, T, and U that lie on circle R, clockwise in alphabetical order. Also you are given m∠TRS = 98°and you are asked to find the m∠TUS. To solve this, you have to draw the circle first.

Draw a circle with R being a point at the center of it. Then place the points S, T and U around the circle. So that would mean any point, S, T and U that connects on R would have a value of 6 inches. Also, these are your radius.

You also know that m</span>∠TRS = 98°. You know that the circle, if you will base your angle from the center or its interior angle is just equal to 360°. To get the m∠TUS, subtract 360 to 98.

360° - 98° = 262°
therefore, m∠TUS is 262°
6 0
3 years ago
Read 2 more answers
12a+6b equivalent expression
patriot [66]

Answer:

6(2a+b)

Step-by-step explanation:

The given expression is

12a+6b

To find the equivalent expression of the given one, we just have to factor.

In this case, the only thing we can do to rewrite is to extract the common greatest factor, which is 6

12a+6b\\6(2a+b)

Therefore, the equivalent expression is

6(2a+b)

5 0
3 years ago
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