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OLga [1]
3 years ago
11

Am I right? Doing a quiz.

Mathematics
1 answer:
love history [14]3 years ago
4 0
Yea you’re right
Xcjdejwhwh
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A motorboat travels 172 km in 3 hours going upstream and 372 in 4 hours going downstream. What is the rate of the boat in still
torisob [31]

Answer:

<em>The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

B = speed (rate) of the boat in still water

S = speed (rate) of the stream

The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:

\displaystyle B-S=\frac{172}{3}

Multiplying by 3:

3B - 3S = 172        [1]

The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:

\displaystyle B+S=\frac{372}{4}=93

B + S = 93

Solving for B:

B = 93 - S       [2]

Substituting in [1]

3(93 - S) - 3S = 172

Operating:

279 - 3S - 3S = 172

279 - 6S = 172

Subtracting 279:

- 6S = 172 - 279

- 6S = -107

Multiplying by -1 and solving for S:

S = \frac{107}{6}\approx 17.83\ km/h

From [2]:

B = 93 - \frac{107}{6}

B=\frac{451}{6}\approx 75.17\ km/h

4 0
3 years ago
What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?
Lady_Fox [76]
There is no given below but it will have a slope intersept form of o my friend 
7 0
4 years ago
Read 2 more answers
2) Which of the following is the quadratic
blagie [28]

Answer:

a

Step-by-step explanation:

its a because i looked it up and it said a

8 0
4 years ago
Freddy swims at the community center each week. He wonders about the area of
Damm [24]

Answer:

Yes you can.

Step-by-step explanation:

Multiply length x width.

Other:

If you want me to find the exact answer, it is not currently possible as you haven't given me any dimensions.

5 0
3 years ago
Read 2 more answers
Which equation can be simplified to find the inverse of y = 5x2 + 10?
iris [78.8K]

ANSWER

x = 5 {y}^{2}  + 10

EXPLANATION

The given equation is :

y = 5 {x}^{2}  + 10

To find the inverse of this function, we interchange x and y to obtain:

x= 5 {y}^{2}  + 10

We simplify this function to solve for y.

Therefore the equation that needs to be simplified to find the inverse of the given function is

x = 5 {y}^{2}  + 10

The correct choice is is the first option.

8 0
3 years ago
Read 2 more answers
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