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


HELP ASAP GIVING BRAINLIEST

Solve for x if the angles are adjacent supplementary angles. Use pencil and paper. Show how to check that your value of x is correct

Answers

Answer:

x=15

Step-by-step explanation:

srry if I'm wrong =(

Tyrone's plumbing company charges $40 for a service call and $25 per hour.
Ezekiel's plumbing company charges $65 for a service call and $15 per hour.
Which equation can be used to find x, the number of hours it will take for both
plumbing company's cost to be the same.
O A. 25 + 40x - 15 + 65x
O B. 25x + 40 - 15 + 65x
O C. 25x +40 - 15x + 65
O D. 25 + 40x - 15x + 65

Answers

Answer:

C

Step-by-step explanation:

it is the only one with the variable in the spot of the per an hour which is what the equation is supposed to represent

Which steps show how to use the distributive property to evaluate 9.67? O A. 9(67) = 9(70 – 3) = 9.70 +9.3 = 630 + 27 = 657

B. 9(67) = 9(70 – 3) = 9.70 – 3 = 630 – 3 = 627

C. 9(67) = 9(70 – 3) = 9.70 – 70 - 3 = 630 – 210 = 420 O

D. 9(67) = 9(70 – 3) = 9.70 – 9.3 = 630 - 27 = 603 SUBMIT PREVIOUS​

Answers

Answer:

Never mind its D :)

A.P.E.X

Step-by-step explanation:

Will mark brainliest for whoever answers

Answers

Answer:

the third one

Step-by-step explanation:

Laying in the silence

Waiting for the sirens

Signs, any signs I'm alive still

I don't wanna lose it

I'm not getting through this

Hey, should I pray? should I pray

To myself? To a God?

To a saviour who can

Unbreak the broken

Unsay these spoken words

Find hope in the hopeless

Pull me out of the train wreck

Unburn the ashes

Unchain the reactions, I'm not ready to die, not yet

Pull me out of the train wreck

Pull me out, pull me out, pull me out

Pull me out, pull me out

Underneath our bad blood

We still got a sanctum, home

Still a home, still a home here

It's not too late to build it back

'Cause a one-in-a-million chance

Is still a chance, still a chance

And I would take those odds

Unbreak the broken

Unsay these spoken words

Find hope in the hopeless

Pull me out of the train wreck

Unburn the ashes

Unchain the reactions, I'm not ready to die, not yet

Pull me out the train wreck

Pull me out, pull me out, pull me out

Pull me out, pull me out, pull me out

You can say what you like 'cause see, I would die for you

I, I'm down on my knees and I need you to be my God

Be my help, be a savior who can

Unbreak the broken

Unsay these reckless words (find hope in the hopeless)

Pull me out of the train wreck

Unburn the ashes

Unchain the reactions, I'm not ready to die, not yet

Pull me out of the train wreck

Pull me out, pull me out, pull me out

Pull me out, pull me out, pull me out

Answer: I think it is random sampling

Step-by-step explanation:

If two bumper cars traveling at the same speed and carrying the same amount of weight run into each other, they will bounce off and move an equal distance away from each other.

Answers

Your Answer:

yes they will do that.

Apparently, I'm putting in a phrase that hurts Brainly's feelings. So I'm gonna put in a picture instead : )

Answers

Answer:

11

Step-by-step explanation:

Because you put the four into the equation like this: f(x)= 2(4)+3

And 2 times 4 equals 8

And 8 plus 3 equals 11

Have a great day!

If x = 27 and y = 70, what is y when x = 6?​

Answers

Answer: 18

Step-by-step explanation:

What is the fifth term in the sequence 17.3, 34.3, 51.3, 68.3...?

A 77.7
B 85
C 85.3
D 89.7​

Answers

The fifth term in the sequence would be C.

Please help! Brainliest!
Also if you leave a dumb answer i WILL report you :)

Answers

Answer:

C

Step-by-step explanation:

It is C because I can plot all those points and they are still on the blue line. If you don't believe me, plug them in to y=-3/2x+2, (-4,8 plugged in would look like this 8=-3/2(-4)+2 just plug the x and y coordinates in) and they will be correct.

Hope this helps plz hit the crown:D

Answer:

B

X can be any real number, there are a lot of solutions for y = -3/2x+2 so the answer is not C or D

for a given x,y can only be y=-3/2*x+2 not any value y so the answer is not A

Since for a given x,y can only be y=-3/2*x+2 the solutions will be ~x,y = -3/2*x+2) or ~x, -3/2*x+2~ for all real numbers

Hope I helped

Identify the range of the function.
A) (-4,4)
B) [-4, 4]
C) (-4,4]
D) (-4,4)

Answers

Answer:

C) (-4, 4]

General Formulas and Concepts:

Algebra I

Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

From the graph we see that our y-values span from -4 to 4. When y = -4, it is a open dot, meaning it is exclusive. When y = 4, it is a closed dot, meaning it is inclusive. Therefore, our range is:

(-4, 4] or -4 < y ≤ 4

Answer:

-4,4

Step-by-step explanation:

Lillian has a defined benefit plan that promises an annual retirement benefit based on 2% of her final 3-year average annual salary for each year of service. At retirement, Lillian has 15 years of service and had an average salary of $80,000 over the last 3 years. What is the amount of her annual benefit?

Answers

Answer:

the amount of her annual benefit is $24,000

Step-by-step explanation:

The computation of the amount of her annual benefit is as follows:

= Given percentage × average salary × number of years of service

= 2% × $80,000 × 15 years

= $24,000

Hence, the amount of her annual benefit is $24,000

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Based on the information given the amount of her annual benefit is $24,000.

Using this formula

Annual benefit= Annual retirement benefit percentage × Average salary × Years of service

Where:

Annual retirement benefit percentage=2% or 0.02

Average salary=$80,000

Years of service=15 years

Let plug in the formula

Annual benefit= 0.02 × $80,000 × 15 years

Annual benefit=$24,000

Inconclusion  the amount of her annual benefit is $24,000.

Learn more about annual benefit here:https://brainly.com/question/3265552

Someone help me!!!!!

Answers

Answer:

for this i will sue my best friend desmos

Step-by-step explanation:

if u need step by step u go down 5 and 2 is the same thing as [tex]\frac{2}{1}[/tex]. the formula i used was [tex]\frac{rise}{run}[/tex]. which means you would "rise" 2 and "run" 1.

hope this helps lol :)

Can anyone help me with this

Answers

Answer:

The first subscription ($29.88 for 12 issues. A .5 cent difference.

Step-by-step explanation:

29.88/12 = $2.49

15.24/6 = $2.54

The first subscription is cheaper.

If t= 9m,what is the area of the triangle

Help

Answers

Answer: the answer

we use the formula 1/2 .b .h

Step-by-step explanation:

the answer is 1,134, we substitute the t to 9 for each number, for example 4(9) 7(9)

4(9)= 36

7(9)=63

now we find the half of our bottom number which is 4=36

1/2 36= 18

so now we have 18x63=1,134

so our answer is 1,134

The area of the triangle is 1134 m²

What is the area of Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

Given data ,

The value of t = 9 m

Let the base of the triangle be b = 4t

                                                       = 4 x 9

                                                       = 36 m

Let the height of the triangle be h = 7t

                                                         = 7 x 9

                                                         = 63 m

Now , the area of the triangle = ( 1/2 ) x Length x Base

So , substituting the values , we get

Area of the Triangle = ( 1/2 ) x 36 x 63

                                 = 18 x 63 m²

                                 = 1134 m²

Therefore , the area is 1134 m²

Hence , the area of the triangle is 1134 m²

To learn more about area of triangle click :

https://brainly.com/question/20124564

#SPJ5

-5/6 divide by 9/10 HELP ASAP

Answers

Answer:

-0.00925925926

Step-by-step explanation:

calculator lol

Answer:

-4/3

Step-by-step explanation:

-5/6:9/10=-5/6 x 10/9= - 12/9=-4/3

Can you solve it?
find h. (system of equations)

Answers

Okay i need to know first is this math or physics ? Cz everyone has a different solution

The school that Anthony goes to is selling tickets for a choir concert. On the first day of ticket sales his school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. What is the price of a senior citizen ticket?

Answers

Answer:

A senior citizen costs $8

Step-by-step explanation:

Represent senior citizens with S and children with C.

The first day is represented as:

[tex]3S + C = 38[/tex]

The second day is represented as:

[tex]3S + 2C = 52[/tex]

Required

Solve for C and S

Make C the subject in the first equation

[tex]C = 38 - 3S[/tex]

Substitute 38 - 3S for C in the second equation

[tex]3S + 2(38 - 3S) = 52[/tex]

[tex]3S + 76 - 6S = 52[/tex]

Collect Like Terms

[tex]3S - 6S = 52 - 76[/tex]

[tex]- 3S = -24[/tex]

Divide through by -3

[tex]S = 8[/tex]

Recall that: [tex]C = 38 - 3S[/tex]

[tex]C = 38 - 3 * 8[/tex]

[tex]C = 38 - 24[/tex]

[tex]C = 14[/tex]

Hence, a senior citizen costs $8

A roll of ribbon holds 6.75 meters. A craft club buys 21 rolls.

How many meters of ribbon did the club buy?

What is the total cost if the ribbon sells for $2 per meter?

Answers

Answer:

A roll of ribbon holds 6.75 meters. A craft club buys 21 rolls.

How many meters of ribbon did the club buy?

What is the total cost if the ribbon sells for $2 per meter?

Step-by-step explanation:

PLSSSS HELPPP ME SOMEBODY WITH THESE MATH QUESTIONS!!!!!!!!! OR AT LEAST TRYYYYYYYYYYY. REWARD BRAINLIESTTTTT

Answers

Answer:

i would help but i am very bad at math

Step-by-step explanation:

i’m at sorry

As an estimation we are told 5 miles is 8 kilometres. Convert 65 miles to km

Answers

Answer:

104.607 Kilometers

Step-by-step explanation:

How do I solve for x

Answers

Answer:

Explanation:

1).
TS = UR

But TS = 18 and UR = 6x

18 = 6x
18/6 = x
3 = x

Answer:

1. x = 3

2. x = 8

3. x = 5

4. x = 8

Step-by-step explanation:

1. 18 = 6x

divide both sides by 6

x = 3

2. x + 7= 15

subtract 7 from both sides

x = 8

3. 2x - 2 = 8

add 2 to both sides

2x = 10

divide 10 by 2

x = 5

4. -1 + x = 7

add 1 to both sides

x = 8

A ladder is 8 meters long. It leans against a wall with one end on the ground, 6 meters from the wall. The other end reaches a windowsill. Calculate the height of the window sill above the ground.

Answers

Answer:

[tex]\sqrt{28[/tex]

Step-by-step explanation:

a^2 + b^2 = c^2.

if you draw out the triangle, you can substitute numbers into an equation.

6^2 + b^2 = 8^2

36 + b^2 = 64

b^2 = 64 - 36

b^2 = 28

b = [tex]\sqrt{28}[/tex]

terms and like terms in the expression 4a−9+3a.

Answers

Examples to help:

2a + 4      (Unlike terms cannot be simplified)

4a + 3b    (Unlike terms cannot be simplified)

6a – 3a = 3a

8b – 8b = 0

5a – 3      (Unlike terms cannot be simplified)

6a – 4b    (Unlike terms cannot be simplified)

These are not the awnsers they are just examples

There are 7 flavors of ice cream available at an ice cream shop. This shop also has 2 different kinds of cones (waffle and plain). How many different combinations of 1 cone and 1 flavor of ice cream can you have?

Answers

Answer:

14 combinations.

Step-by-step explanation:

If there are 7 different flavors and two types of cones, just mutiply each value. 7*2=14. Boom.

Triangle A(1, 1), B (4,4), C (6,2) is a:

Answers

Right triangle. One of the points meet at a right angle

Answer:

Step-by-step explanation:

Right triangle

PLS HELP I WILL GET MY AS$ beAt


Section 1: Selected Response - Question 2

Which equation or equations are true?


1.) 3/10 + 15/100 = 18/100


2.) 4/10 + 32/100 = 72/100


3.) 7/10 + 2/100 = 27/100


4.) 6/10 + 27/100 = 87/100


A

Equation 1 only


B

Equation 2 only


C

Equations 3 and 4 only


D

Equations 2 and 4 only

Answers

Answer:

good luck bro lol

Step-by-step explanation:

Answer:

2. is right i think

4. is true i think hope this helps!

Step-by-step explanation:

i think

Does the following equation have one solution, infinite solutions, or no solutions? 9 (x+11) = 9x +3

Answers

divide second equation by -3

3x+2y=1

other equatin is

3x+2y=1

since same equation, they are same line and lines are infinite so infinite solutions is answe

Answer:

No solution

Step-by-step explanation:

PEMDAS = distribute first.

9x+99=9x+3

Subtract 9x from both sides

99=3

Impossible so no solution.

Hope this helps you!

#Team Rainbows

Learning Task 1: Graph each pair of linear equations in one coordinate plane.
1. y = 2x + 2 and 2y = 4x + 4
2. Y= x-5 and y = -x + 3
3. Y = 2x-3 and y = 2x + 4​

Answers

Answer:

We kindly invite you to see the explanation and images attached below.

Step-by-step explanation:

From Geometry we know that every line can be formed by knowing two two distinct points in a plane. Our stategy consist in using two distinct points for each linear equation in order to create our plot.

1) [tex]y = 2\cdot x + 2[/tex], [tex]A(x,y) = (0, 2)[/tex] and [tex]B(x,y) = (1,4)[/tex].

The line [tex]2\cdot y = 4\cdot x + 4[/tex] is a multiple of [tex]y = 2\cdot x + 2[/tex]. We present the graph below.

2) [tex]y = x-5[/tex], [tex]A(x,y) = (0,-5)[/tex] and [tex]B(x,y) =(1,-4)[/tex].

[tex]y = -x+3[/tex], [tex]C(x,y) = (0, 3)[/tex] and [tex]D(x,y) = (1,2)[/tex].

Finally, we proceed to plot each line and present the results below.

3) [tex]y = 2\cdot x-3[/tex], [tex]A(x,y) = (0,-3)[/tex] and [tex]B(x,y) = (1, -1)[/tex].

[tex]y = 2\cdot x + 4[/tex], [tex]C(x,y) = (0,4)[/tex] and [tex]D(x,y) = (1,6)[/tex].

Finally, we proceed to plot each line and present the results below.

Richie's gym is charging a one-time fee of $55 to join an additional 15 per month what is the cost after 6 months
A.$60 for 6 months
B.$145 for 6 months
C.$825 for 6 months
D.$165 for 6 months​

Answers

The answer is B
you’re welcome

After Lou poured 2 liters of water into a large bucket, the bucket contained 10 liters of water. How many liters were in the bucket to start?

Answers

Answer:

8 liters

Step-by-step explanation:

because after pouring 2 liters bucket was full so we wiil minus 2 from 10

Answer:

8 + x = 10

x. = 10 - 8

x. = 2 liters

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