16. A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel?
What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]

A. 105x + 90
B. 105x
C. 45x + 90
D. 60x

Answers

Answer 1

Answer:

The equation representing the total distance would be A. 105x + 90.

The time the truck has travelled would be 8 hours while the time traveled by the train would be 6 hours.

Step-by-step explanation:

Firstly, let's set the time travelled by the train to be x hours.

According to the question, the equation would be 45(x + 2) = 60x, because the truck has travelled 2 more hours than the train.

Hence:

[tex]45(x + 2) = 60x[/tex]

[tex]45x + 90 = 60x[/tex]

[tex]90 = 60x - 45x[/tex]

[tex]15x = 90[/tex]

[tex]x = 6[/tex]

Therefore, the truck has travelled a total of (6 + 2) hours = 8 hours, and the train has travelled for 6 hours.

Also, the equation can be found by adding both equations up:

[tex]45(x + 2) + 60x[/tex]

[tex]= 45x + 90 + 60x[/tex]

[tex]= 105x + 90[/tex]

Hope this helped!


Related Questions

Find the slope-intercept equation of the line.

Need the equation
Plz help not jus the answer

Answers

Answer:

y=-3x+5

Step-by-step explanation:

Answer is Y=-3x+5

Answer:

y = -1/2x + 5

Step-by-step explanation:

First, we need to find the slope. Slope is nothing but the height of the triangle over the length of the triangle. Since the height is 5 is the length is 10, the slope should be 5/10. But, since the line is slanting downwards, the slope is negative. So it is -5/10, or -1/2 when simplified. Next, we need to find the y intercept. Y intercept is nothing but where the line crosses the y axis, so the y intercept should be 5. The slope intercept is y = mx+b, where m is the slope and y intercept is b, so our equation should be y = -1/2x + 5.

The reason that we are not counting the individual squares is because they already labeled the graph. So, we have to count accordingly.

Emily's car broke down the weekend before she started a new job. She borrowed $880 from her parents, at an annual interest rate of 3%, to quickly pay for the car repairs. If Emily paid her parents a total of $893.20 in six months, how much simple interest did she pay?

Answers

Answer:

$13.2

Step-by-step explanation:

Step one:

given data

principal=$880

rate= 3%

final amount = $893.2

time t= 6 months =0.5 years

Step two:

Required

Simple interest

SI=PRT/100

SI=880*3*0.5/100

SI=1320/100

SI=13.2

She paid Simple interest of $13.2

ANSWER WHAT YOU CAN NEED THEM ASAP PLZ

Answers

Answer:

5. 23

6. 26

7. 20

8. 45

9. 15

10. 120

11. 60 full triangle is 180 and since it is equilateral you divide it by 3 you get 60

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If 3 pens cost $2, then how many can can you buy with $20

Answers

Answer:

30

Step-by-step explanation:

A seamstress bought some some bolts of fabric at $25.30 each. She spent a total of $227.70. Write an equation and solve to find the number of bolts of fabric that she purchased.

Answers

Answer:

227.70 divided by 25.30

Step-by-step explanation:

if she spent 227.70 when 25.30 was how much the fabric costed, you will need to divide to find out how much fabric she got.

I really don’t know I knew I could solve this one but I’m stumped

In the equation a+b=8, what is the value of a if b= -1

Answers

Answer:

9

Step-by-step explanation:

a + b = 8

a + (-1) = 8

a - (-1) = 8 - (-1)

a = 9

URGENT!!!! HELP PLEASE!!!

Answers

Answer:A. 60Hope this helps!!

A, skdigjnaaojbdjaoxjbeoahxf

Marcos delivers newspapers during his summer break. He delivers a different number of papers each day. What percent of the total number of newspapers is delivered on Saturday and Sunday?
A.
52.5%
B.
105%
C.
40%
D.
32.5%

Answers

Answer:

52.2% or A

Step-by-step explanation:

55+50 = 105

105/200 = 0.525

0.525 x 100 (to get the percent) = 52.5%

Answer:

52.5%

Step-by-step explanation:

Add together the number of papers delivered on Saturday and Sunday. Then divide that by the total number of papers delivered.

55+50 = 105

105/200=52.5%

Which of the following is not a function?
3-1
3-2
3-7
7-1
7-2
7-7

Answers

Answer:

They are all not a function

Step-by-step explanation:

a function can only have one output.

3 in this set has 3 outputs and 7 in this set has 3 outputs aswell

can someone find loverboy444? thank you! who ever finds him will get a request!​

Answers

Answer:

I can try

Step-by-step explanation:

PLEASE HELP!!! Complete the equation of the line through (4, - 8) and (8, 5) Use exact numbers. y =

Answers

Slope=(5--8)\(8-4)= 13\4

13\4(x-4)=y+8

13\4x-13-8 =y

13\4x-21=y

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Answers


7/x = 84 / (156 -x)
84x = 7(156 -x)
84x = 1092 - 7x
91x = 1092
x = 12

AC = 156 - 12 = 144

answer
D. 144

You get a student loan from the New Mexico Educational Assistance Foundation to pay for your educational expenses this year. Find the interest on the loan if you borrowed $5000 at 5% interest for 1 year

Answers

Answer:

500

Step-by-step explanation:

Mooooooooooseeeeeeeeee

it took Corinne 3 hours to do 12 pages of homework.How many pages of homework did she do per hour?

Answers

Answer:

4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Step-by-step explanation:

12÷3=4

Help plzzzzzzzzzzzzzz ​

Answers

Answer:

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Step-by-step explanation:

∠P is between NP and PE

Penelope's MP3 player has 20 megabytes of memory. She has already downloaded 11 megabytesShe will continue to download m more megabytes. Write and solve an inequality that shows all the values of m that Penelope can download to her MP3 player .

Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

solve each system by graphing​

Answers

Answer:

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Step-by-step explanation:

Don't put my answer in just maike sure its correct!

It would look like this I think

PLSSS HELP An amusement park has two types of season passes. Plan 1 charges a one-time fee of $175.00 for admission plus $8.00 every trip for parking.
Plan 2 charges a one-time fee of $125.00 for parking plus $13.00 every trip for admission. For what number of trips is the cost of these plans
the same?

Answers

Answer:

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Step-by-step explanation:

math is disgusting

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Answers

Answer:

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*will give brainliest*
While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is (no solution, one solution, infinite solutions).

Answers

i think the answer is one solution

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Answers

Answer:

x>-33/2

Step-by-step explanation:

this is because you must solve the equation. when you divide by a negative number in order to get the x alone the sign of the inequality flips.

Answer:

[tex]x > \frac{ - 11 - 22}{2} [/tex]

Step-by-step explanation:

Step 1: Subtract 7x7x from both sides.

−11<9x+22.−7x

Step 2:Simplify 9x+22.-7x9x+22.−7x to 2x+22.2x+22.

−11<2x+22.

Step 3:Subtract 22.22. from both sides.

−11−22.<2x

Step 4:Divide both sides by 22.

[tex] \frac{ - 11 - 22}{2} < x[/tex]

Step 5, Switch sides.

[tex] x > \frac{ - 11 - 22}{2} [/tex]

I hope it helps you.

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Answers

Answer:

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Step-by-step explanation:

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Answers

The answer you should get is 33/20 or 1.65. How you get this answer is you start by removing the parentheses, then calculate the difference.

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2 - 7/20

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3. What the measure of angle 3?
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Answers

Answer:

d

Step-by-step explanation:

is answer sd

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2x-9
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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Johanatho will get in 4.53 hours. joahnathons cousin will take 4.57 hours.

Step-by-step explanation:

340/75=4.53

320/70=4.57

A warehouse is used as a grannary. It is in
the shape of a cuboid surmounted by a
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Answers

Answer:

7467.4 square meters djdkdkdmmdkd

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