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Sergio [31]
2 years ago
5

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. Write

an equation to determine how many miles, m, he needs to run per day, assuming he runs the same amount each day.
Mathematics
2 answers:
Rus_ich [418]2 years ago
7 0

Answer:

217 miles/31 days = m

m = 7 miles

Step-by-step explanation:

Aloiza [94]2 years ago
4 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 m 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):

m=217\:miles/31\:days =7\:miles/day

\boxed{7\:miles/day}

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:

(7miles/day)*31days=217 miles.

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Circumference= pi × d
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d= circumference/pi
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Rena wrote all the integers from 1 to 19. How many digits did she write?
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4 days I have 140 copies of a book, 9 days I only have 50 left. Write an equation where c(t)=my+b where c is number of copies st
alexandr402 [8]

Answer:

c(t)=-18t+212.

Step-by-step explanation:

We have been given that 4 days I have 140 copies of a book, 9 days I only have 50 left. We are asked to write an equation c(t)=my+b, where c is number of copies still on hand and t days being available.

We have two points on line (4,140) and (9,50). Now, we will use these points to find slope as:

m=\frac{140-50}{4-9}

m=\frac{90}{-5}

m=-18

Now, we will use point-slope form of equation y-y_1=m(x-x_1) and substitute m=-18 and coordinates of point (9,50) as:

y-50=-18(x-9)

y-50=-18x+162

y-50+50=-18x+162+50

y=-18x+212

Therefore, our required equation would be c(t)=-18t+212.

5 0
3 years ago
There are 60 new houses being built in a neighborhood. Last month 1/3 of them were sold. This month 1/5 of the remaining houses
tatuchka [14]

Answer:

4

Step-by-step explanation:

8 0
2 years ago
F(x+1)+f(x+2)=2x+3; f(x)=?
Rama09 [41]

Answer:

F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

Step-by-step explanation:

1. \mathrm{Subtract\:}f\left(x+2\right)\mathrm{\:from\:both\:sides}\\
F\left(x+1\right)+f\left(x+2\right)-f\left(x+2\right)=2x+3f-f\left(x+2\right)



2. \mathrm{Simplify}\\
F\left(x+1\right)=-xf+f+2x\\


3. \mathrm{Divide\:both\:sides\:by\:}x+1;\quad \:x\ne \:-1\\
\frac{F\left(x+1\right)}{x+1}=-\frac{xf}{x+1}+\frac{f}{x+1}+\frac{2x}{x+1};\quad \:x\ne \:-1

4. \mathrm{Simplify}\\
F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

Final Answer: F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

4 0
2 years ago
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