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Nadusha1986 [10]
3 years ago
8

Carl is on the school track team. To prepare for an upcoming race, he plans to run 217 miles total over the next 31 days.

Mathematics
2 answers:
Tanya [424]3 years ago
7 0

Answer:

Answer:

217/31=m

7 miles per day

Step-by-step explanation:

UR WELCOME 5 STAR PLS AND LIKE  IT

Sladkaya [172]3 years ago
6 0

Answer:

m=217 miles/31 days

Step-by-step explanation:

Carl has to run 217 miles in 31 days; to find the number of miles he needs to run per day, he should divide the number of miles he has to run  (217 miles ) by the  number to days he will run ( 31 days):

Carl has to run 7 miles per day. We can confirm this result by multiplying this by 31 days, and we should get 217 miles:

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7 girls audition for 12 roles in a school play. What is the probability that at least 2 of the girls audition for the same part?
Sophie [7]

Answer:

Step-by-step explanation:

This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.

Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!

The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is

(12!/5!)/12^7 = 12!/(12^7 5!)

Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:

1 - 12!/(12^7 5!)

6 0
3 years ago
Show me how to solve 10>x/2 +4
postnew [5]

Treat this as if the inequality sign was the same thing as an equal sign. Most of the equality rules apply to inequalities (with a few exceptions)

10>\dfrac{x}{2}+4

Subtract both sides by 4

10-4>\dfrac{x}{2}+4-4

6>\dfrac{x}{2}

Multiply both sides by 2

2\times6>\dfrac{x}{2}\times2

12>x

We want the unknown variable on the left side (because it looks nicer)

x

5 0
3 years ago
Read 2 more answers
If x=14, what is the value of 3(x + 5)?
gladu [14]

Answer:

57

Step-by-step explanation:

parentheses first then multiply by 3

5 0
2 years ago
A cone has a diameter of 7.5 ft and a height of 4.25 ft. What is the volume of the cone to the nearest tenth? Use 3.14 for π.
lubasha [3.4K]

Answer:

V = ⅓πr²h = ⅓(3.14)(7.5/2)²(4.25) = 62.5546875 ≈ 62.6 ft³

Step-by-step explanation:

4 0
3 years ago
Problem PageQuestion The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate paramet
asambeis [7]

Answer:

<em>t = 1.51</em>

Step-by-step explanation:

<u>Exponential Model</u>

The exponential model is often used to simulate the behavior of a magnitude that either grow or decay in proportion to the existing amount of that magnitude.

The model can be expressed as

M=M_oe^{kt}

In this case, Mo is the initial mass of the radioactive substance and k is a constant which value is positive if the mass is growing or negative if the mass is decaying.

The value of k is not precisely given in the question, we are assuming k=-0.2

The model is now

M=M_oe^{-0.2t}

We are required to compute the time it takes the mass to reach one-half of its initial value:

\displaystyle \frac{M_o}{2}=M_oe^{-0.2t}

Simplifying

\displaystyle \frac{1}{2}=e^{-0.2t}

Taking logarithms

\displaystyle ln\frac{1}{2}=ln(e^{-0.2t})=-0.2t

Solving for t

\displaystyle t=-\frac{ln\frac{1}{2}}{0.2}=1.51

6 0
3 years ago
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