For which equation is (3, 5) a solution?

You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s

fredd [130]

Answer:

Time spent rowing down stream $=100\ seconds$

Speed of boat in still water $=14\ ms^{-1}$

Step-by-step explanation:

Let speed of boat in still water be $= x\ ms^{-1}$

Speed of current $= 10\ ms^{-1}$

Speed of boat down stream = $\textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}$

Distance rowed down stream = 2400 m

Time spent rowing down stream = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$ = $\frac{Distance}{Speed}=\frac{2400}{x+10}\ s$

Speed of boat up stream = $\textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}$

Distance rowed up stream = $\frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m$

Time spent rowing up stream = $\frac{Distance}{Speed}=\frac{400}{x-10}\ s$

We know that,

$\textrm{Time spent rowing down stream =Time spent rowing up stream}$

So,

$\frac{2400}{x+10}=\frac{400}{x-10}$

Cross multiplying

$2400(x-10)=400(x+10)$

Dividing both sides by $400$

$\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}$

$6(x-10)=x+10$

$6x-60=x+10$

Adding 60 to both sides.

$6x-60+60=x+10+60$

$6x=x+70$

Subtracting both sides by $x$

$6x-x=x+70-x$

$5x=70$

Dividing both sides by 5.

$\frac{5x}{5}=\frac{70}{5}$

∴ $x=14$

Speed of boat in still water $=14\ ms^-1$

Time spent rowing down stream = $\frac{2400}{14+10}=\frac{2400}{24}=100\ s$

3 0

3 years ago

What number times another number equals 56

GuDViN [60]

The factors of 56 include
1 by 56
2 by 28
4 by 14
7 by 8

6 0

3 years ago

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Please help!!!!!

drek231 [11]

Answer:

the answer is B. as you can see from the graph Mitchell spent about 8.00 in an hour so he spent more

4 0

3 years ago

Judi is making a frame for a square painting. The square painting is 11 3/8 inches on each side. To make sure that she has enoug

dimulka [17.4K]

Answer:

$53\frac{1}{2}\ in$

Step-by-step explanation:

we know that

The perimeter of a square is equal to

$P=4a$

where

a is the length side of the square

in this problem we have

$a=11\frac{3}{8}\ in$

convert to an improper fraction

$11\frac{3}{8}\ in=\frac{11*8+3}{8}=\frac{91}{8}\ in$

Find the perimeter of the square

$P=4\frac{91}{8}=45.5\ in$

Remember to adds two extra inches for each corner

so

The wood needed is

$45.5\ in+2*4\ in= 53.5\ in$

convert to mixed number

$53.5\ in=53\frac{1}{2}\ in$

5 0

3 years ago

ANSWER PLEASE! WILL MARK BRAINLIEST! OFFERING 30 POINTS!

SSSSS [86.1K]

Answer:

C

Step-by-step explanation:

Work backwards. You are given -3 , -30 for C. If you add -3 + 3 and the divide it by 2 , you get 0. If you add 8 + -20 and divide by 2 you get -6 , so the answer is C.

7 0

3 years ago

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