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3 years ago

A train travels at a speed of 65 miles per hour. How long did it take the train to travel 227.5 miles?

Mathematics

1 answer:

ololo11 [35]3 years ago

6 0

Answer:

3.5 hours

Step-by-step explanation:

227.5÷65=3.5

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What is the equation of the line that passes through (-5, 0) and (4, 3)?

kotegsom [21]

Answer:

y = 1/3x + 5/3

Step-by-step explanation:

An equation contains a slope and y-intercept, in the form y = mx + b. To find the slope or m, you need to plug the coordinates into the slope formula.

y2 - y1/ x2 - 1

3 - 0/ 4 - (-5)

= 3 / 9

= 1/3

Now that we know the slope, we need to plug the values of x and y to find the y-intercept.

y = 1/3x + b

3 = 1/3(4) + b

3 = 4/3 + b

5/3 = b

The equation is y = 1/3x + 5/3

3 0

3 years ago

The volume of the right triangular prism is 91.8ft. The height of the prism is 10.8ft. What is the area of each base? Show your

kaheart [24]

Answer:

8.5 ft.

Step-by-step explanation:

We'll use this right triangular prism volume formula: base area x height = volume

base area = ?

length = 10.8

volume = 91.8

base area x 10.8 = 91.8

Divide both sides by 10.8

base area x 10.8/10.8 = 91.8/10.8

base area = 8.5

4 0

3 years ago

Which of the following points is a solution of the inequality y < -|x|?

Rzqust [24]

y < -|x|

replace the letters with the given numbers:

(1,-2) -2<-|1| this is true

(1,-1) -1 <-|1| this is false

(1,0) 0 < -|1| this I false

The answer is (1,-2)

5 0

3 years ago

Read 2 more answers

Mr. Monasterio ran to the store for burritos at 4 miles per hour. On the way back, he increased his speed to 6 miles per hour. I

sveticcg [70]

Answer:

It took 1.2 hours to get to the store

Step-by-step explanation:

Let the time taken to reach the store be t₁

Let the time taken to come back be t₂

Let the speed to and from store = s₁ and s₂ respectively

let the distance to the store = d

To the store:

$speed = \frac{distance}{time} \\s = \frac{d}{t_1} \\t_1 = \frac{d}{s_1}\\t_1 =\frac{d}{4} - - - - - (1)$

Back from the store:

$s_2 = \frac{d}{t_2} \\t_2 = \frac{d}{s_2}\\where:\\s_2 = 6\ miles\ per\ hour\\t_2 = \frac{d}{6} - - - - - - (2)$

We are told that total time (t₁ + t₂) = 2 hours

t₁ + t₂ = eqn (1) + eqn (2)

$\frac{d}{4} + \frac{d}{6} = 2\\Multiplying\ through\ by\ 12:\\3d\ +\ 2d\ =\ 24\\5d = 24\\d = \frac{24}{5} \\d = 4.8\ miles$

∴ length of trip to the store = t₁

from eqn (1)

$t_1 = \frac{d}{4} \\t_1 = \frac{4.8}{4} \\t_1 = 1.2\ hours$

7 0

3 years ago

A car dealership sells suv's and passenger cars. For a recent year, 90 more suv's were sold than passenger cars. If a total of 5

Lunna [17]

Answer:

300 SUVs were sold.

210 Passenger cars were sold.

Step-by-step explanation:

Let S denote the amount of SUVs sold and let P denote the amount of passenger cars sold.

The total amount of vehicles sold was 510, so:

$S+P=510$

90 more SUVs were sold than passenger cars. In other words:

$S=90+P$

We know have a system of equations. We can solve it buy substituting the second equation into the first. Thus:

$90+P+P=510$

Combine like terms:

$2P+90=510$

Subtract 90 from both sides:

$2P=420$

Divide both sides by 2:

$P=210$

So, the 210 passenger cars were sold.

This means that 210+90=300 SUVs were sold.

And we're done!

7 0

3 years ago