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DanielleElmas [232]
2 years ago
7

a boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour

. what is the rate of the current?
Mathematics
2 answers:
konstantin123 [22]2 years ago
6 0

Answer:

2.1429 or 2 and 1/7

Step-by-step explanation:

Time = time

12/(15+c)=9/(15-c)

12(15-c)=9(15+c)

12*15-12c =9*15+9c

21c=3*15

c=3*15/21

c=45/21=2.1429..(speed of the current)

Downstream info;

distance=12miles;rate=15+c mph; time=d/r =12/(15+c)hrs.

Upstream info;

distance=9miles;rate=15-c mph;time=d/r=9/(15-c)hrs.

I hope it's helpful!

liq [111]2 years ago
3 0

Answer:

7 or 8 miles per hour

Step-by-step explanation:

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Juan invest $3700 in a simple interest account at a rate of 4% for 15 years
OleMash [197]

<em><u>Question:</u></em>

Juan Invest $3700 In A Simple Interest Account At A Rate Of 4% For 15 Years. How Much Money Will Be In The Account After 15 Years?

<em><u>Answer:</u></em>

There will be $ 5920 in account after 15 years

<em><u>Solution:</u></em>

<em><u>The simple interest is given by formula:</u></em>

S.I = \frac{p \times n \times r }{100}

Where,

p is the principal

n is number of years

r is rate of interest

From given,

p = 3700

r = 4 %

t = 15 years

Therefore,

S.I = \frac{3700 \times 4 \times 15 }{100}\\\\S.I = 37 \times 4 \times 15\\\\S.I = 2220

<em><u>How Much Money Will Be In The Account After 15 Years?</u></em>

Total money = principal + simple interest

Total money = 3700 + 2220

Total money = 5920

Thus there will be $ 5920 in account after 15 years

8 0
3 years ago
When 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
vovangra [49]

Answer:

Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

Step-by-step explanation:

We need to simplify the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

First we will solve terms inside the bracket

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

Converting mixed fraction 1\frac{1}{2} y into improper fraction, we get: \frac{3}{2}y

Replacing the term:

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)

Now, combine like terms

2(36x-15x-90y+40y-180)\\2(21x-50y-180)

Now, multiply all terms with 2

42x-100y-360

So, Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

3 0
3 years ago
A line that passes through parallel lines is called a
Elena-2011 [213]
Transversal is the awnser
6 0
2 years ago
What is the rate of change.
Finger [1]

Answer:

-1

Step-by-step explanation:

Over 12 on the x axis it goes down 12 on the y axis so the rate of change is -1

4 0
3 years ago
A volleyball has a radius of 9 inches. What is the exact value of the volume of the ball?
irakobra [83]
Hello!

to solve this problem, use the following equation

<span><span><span>(<span>4/3(3.141593)</span>)</span>(9^</span>3) </span>= <span>3053.628059</span><span>

so your final answer is:
the volume of the volleyball is </span>3053.628059<span>

I hope this helps, and have a nice day.</span>
4 0
2 years ago
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