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Varvara68 [4.7K]
3 years ago
12

a boat going upstream at 4 mph then travels downstream at 10 mph. what is the rate of the boat in still water​

Mathematics
1 answer:
elixir [45]3 years ago
7 0

Answer:

7 mph

Step-by-step explanation:

If b is the rate of the boat, and s is the rate of the stream, then:

b − s = 4

b + s = 10

Solve the system of equations with substitution or elimination.  Using elimination, add the equations together:

2b = 14

b = 7

The boat's rate is 7 mph.

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Will mark brainliest! Please help!
ValentinkaMS [17]

Answer:

The dimensions are:

3(2x+1) by (7x+5)

Step-by-step explanation:

The area of the rectangle is given as

A=42x^2+51x+15

The factored form of this quadratic trinomial gives the dimensions of the rectangle.

We factor 3 first to obtain;

A=3(14x^2+17x+5)

We split the middle term to get;

A=3(14x^2+10x+7x+5)

We factor within the parenthesis to get;

A=3(2x(7x+5)+1(7x+5))

We factor further to get;

A=3(2x+1)(7x+5)

The dimensions are:

3(2x+1) by (7x+5)

Then the perimeter will be

2(6x+3+7x+5)=26x+16\:\:\:\boxed{\sqrt{} }

4 0
3 years ago
What is 1 divided by 5^-2? Please give clear explanation. thanks.
Pani-rosa [81]
1 / 5^-2

First, let's work out the denominator.
5^ -2 = 1/25. When an exponent is negative, it means to put a 1 over the product. Like we did earlier.

Now we have 1 / (1/25). 

1 / (1/25)
Divide 1 by 25.
1 / 0.04
Divide 1 by 0.04
25

The answer is 25!

Now if you make this answer as the Brainliest I will appreciate it very much. And for a limited time answer, and no scam or joke,  you will receive your very own flying space ship! No scam at all! Try it. Just press the mark as Brainliest and watch your spaceship land in your backyard! But seriously I will appreciate it if you mark this answer as the Brainliest.
7 0
3 years ago
Solve for a a^2+17=42?
grandymaker [24]

We are given the following equation:

a^2+17=42

Subtract both sides by 17

a^2=25

Take the positive/negative square root of both sides

a=\pm5

This should be your answer. Let me know if you have any questions, thanks!

6 0
3 years ago
What is the solution to the inequality -4 x < 8?
alekssr [168]

<u>Answer:</u>

  • The solution of the inequality is x < -2.

<u>Step-by-step explanation:</u>

<u>Let's simplify the inequality first.</u>

  • => -4x < 8
  • => -4x/4 < 8/4
  • => -x < 2
  • => x < -2

Hence, <u>the solution of the inequality is</u><u> x < -2.</u>

Hoped this helped.

BrainiacUser1357

6 0
2 years ago
Read 2 more answers
FIRST PERSON GETS BRAINLIEST
Sunny_sXe [5.5K]
X = 61 degrees.
Find the number of degrees in a pentagon by using the following formula:
(number of sides - 2)180 = 540.
There are 540 degrees in a pentagon.
Since we know four of the angles, we can subtract them from 540 to get the fifth angle.
540-138-144-107-90 = 61

Hope this helped =)
3 0
3 years ago
Read 2 more answers
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