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dalvyx [7]
3 years ago
10

A train travels 150 miles in 3 hours. At this same rate, how many miles will it travel in 8 hours?

Mathematics
2 answers:
OverLord2011 [107]3 years ago
7 0

Answer:

400

Step-by-step explanation:

you divided 150 by 3 which is 50 then multiply that by 8 which will give you answer

yarga [219]3 years ago
5 0

Answer:

400 miles

Step-by-step explanation:

150/3=50 miles per hour

so, 50(8)= 400 miles in 8 hours. ;)

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MARKING AS BRAINLIEST!! (Geometry)
lana [24]

Answer:

x = 15.49

Step-by-step explanation:

As you can see this is a right-angled triangle due to the right angle symbol, we can use Pythagorean theory to find the unknown length:

a^2 + b^2 = c^2

In this case, we know C and B but not A so:

a^2 = c^2 - b^2

Now plug the values in:

a^2 = 16^2 - 4^2

a^2 = 256 - 16

a^2 = 240

Square root the answer to get A:

a = \sqrt{240}

a = 15.49

x = 15.49

Hope this helps!

5 0
2 years ago
Divide <br><br> (x^2 - 13x +40) divided by (x- 6)
kodGreya [7K]

Answer:

The quotient is: x-7

The remainder is: -2

Step-by-step explanation:

We need to divide (x^2 - 13x +40) divided by (x- 6)

The quotient is: x-7

The remainder is: -2

The division is shown in the figure attached

3 0
3 years ago
Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.
saw5 [17]

Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.

Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.

And Yes, there is a significant difference.

<h3>What is a function?</h3>

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Car 1 (value in dollars)

Year 1: 18,500

Year 2: 17,390

Year 3: 16,346.60

Car 2 (value in dollars)

Year 1: 18,500

Year 2: 17,500

Year 3: 16,500

The exponential function describes car 1.

Then the function will be

\rm P = 18500\times (0.95995)^n

The linear function describes car 2.

\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500

Then the value of the car 1 after 10 years will be

\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5

Then the value of the car 2 after 10 years will be

\rm 2000 \times 10 +3y = 55500\\\\y =  \$ \ 11,833.33

Yes, there is a significant difference.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

5 0
2 years ago
Isabel’s car gets 33.5 miles per gallon. Her gas tank holds 15.1 gallons of gas how many miles can Isabel drive on a full tank o
bagirrra123 [75]

Isabel can drive 505.85 miles with a gas tank that holds 15.1 gallons of gas

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

Given that, Isabel’s car gets 33.5 miles per gallon

Her gas tank holds 15.1 gallons of gas

To find: Number of miles can Isabel drive on a full tank of gas

Let "x" be the miles drive with 15.1 gallons of gas

From given,

1 gallon = 33.5 miles

15.1 gallon = x miles

This forms a proportion and we can solve the sum by cross multiplying

1 \times x = 15.1 \times 33.5\\\\x = 505.85

Thus Isabel can drive 505.85 miles on a full tank of gas

6 0
3 years ago
Let f(x)= x^2-4x-c. Find a nonzero value of c such that f(c)=c.​
Dimas [21]

Answer:

The nonzero value of c will be:

  • c = 6

Step-by-step explanation:

Given the function

f\left(x\right)=\:x^2-4x-c

f\left(c\right)=\:c^2-4c-c

as

f(c) = c

so

c=\:c^2-4c-c

switching the sides

c^2-4c-c=c

subtract c from both sides

c^2-4c-c-c=c-c

c^2-6c=0

c\left(c-6\right)=0

Using the zero factor principle

\:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

c=0\quad \mathrm{or}\quad \:c-6=0

so, the solutions to the quadratic equations are:

c=0,\:c=6

Therefore, a nonzero value of c will be:

  • c = 6
5 0
3 years ago
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