A truck traveling 45 miles per hour and a train traveling 60 miles per hour cocer the same distance. The truck travels 2 hours longer than the train. How many hours does the each travel? What equation would represent the total distance traveled by both the train and the truck?

Answers

Answer 1

Answer:

Train time = 6 hours

Truck time = 8 hours

60x = 45x + 90

Step-by-step explanation:

Train speed = 60mph

Truck speed = 45 mph

Let distance covered = d

Let travel time of train = x

Travel time of truck = x + 2

Total distance traveled :

Distance = speed * time

Train distance = truck distance

60 * x = (45 * (x + 2))

60x = 45x + 90

60x - 45x = 90

15x = 90

x = 90/15

x = 6

Train time = 6 hours

Truck time = 6 + 2 = 8 hours

Distance traveled :

60x = 45x + 90

60 * 6 = (45*6) + 90

360 = 270 + 90

360 = 360


Related Questions

An equation of a line can be written in point slope form given any point (_,_) on the line and the slope of the line ___.

Answers

Answer:

.... given any point (x,y) on the line and the slope of the line m.

Step-by-step explanation:

Its because a coordinate's variables are (x,y) due it's position on the graph on the x-axis and y-axis; and the slope of the line is called m in general (it's just a mathematical term/variable due to how it is defined in formulas)

what is 17 + 64 + 124 + (3^2 x 5) - 14 = ?

Answers

Answer:

9x⁵ + 191

Step-by-step explanation:

Simplify: 17 + 64 + 124 + 9x⁵ - 14

Collect Like Terms: 9x⁵ + (17 + 64 + 124 - 14)

Simplify: 9x⁵ + 191

Brainliest Please!!?!!!!

- ElizabethKate

A function is represented by the graph. Complete the statement by selecting from the drop-down menu. The y-intercept of the function​ ​y=3x+2​ ​​is Choose... the y-intercept of the function represented in the graph.


need help

Answers

Answer:

The y-intercept of the function represented in the graph will be: (0, 2)

The graph is also attached.

Step-by-step explanation:

Given the function

[tex]y=3x+2[/tex]

the y-intercept of the function can be determined by setting x=0 and solving for y.

so

[tex]y=3x+2[/tex]

[tex]y=3(0)+2[/tex]

[tex]y=0+2[/tex]

[tex]y=2[/tex]

Thus, the y-intercept of the function represented in the graph will be: (0, 2)

The graph is also attached.

Answer:

equal to

Step-by-step explanation:

i took test

CAN ANYBODY DO THESE

Answers

Answer:

1. 44.23077

2. 30%

3. 72

4. 214.2

5. 75%

Step-by-step explanation:

sehn ullum

can u guess what that means?

Answers

Answer:

nope

Step-by-step explanation:

blah blah blah blah

for geometry:(

will give brainist

Answers

Answer:

Clearly show i can't see ur answer

Answer:

x = 60

Step-by-step explanation:

These angles are alternate exterior angles because they are on the opposite side of the transversal line and on the outside of a set of two non-transversal lines.

The alternate exterior angles theorem explains that if a pair of non-transversal lines are parallel, then the alternate exterior angles are congruent.

We can use the following equation to solve:

46 = 3x-14

Simplify.

60 = 3x

x= 60

A store has a sale for 20 % off. You decide to buy a $15 t-shirt. A) How much money will you save? B) How much money will you spend on the t-shirt?

Answers

Answer:

you will save 3 dollars and spend 12 on the shirt

Step-by-step explanation:

20 percent of 15 is 3 dollars. subtract the 3 from 15$ to get your discounted price.

benjamin rode his bicycle 3.6 miles on saturday and 4.85 miles on sunday how many miles did he ride saturday and sunday combined?

Answers

Step-by-step explanation:

The total is 3.6 + 4.85 = 8.45.

Answer:

your answer is 8.45

its C

It cost $2.50 to rent bowling.each game costs $3.25.you have $22. How many games can you bowl

Answers

Answer:

6 games

Step-by-step explanation:

Use the equation 2.5+3.25x=22 to solve in which $2.50 is the initial amount to rent for Bowling, $3.25 the amount of game that is played, $22 for what you have, and x in which is the amount of games you can play at the max.  Subtract 2.5 on both sides to get to 3.25x = 19.5.  Divide 3.25 on both sides to get your final answer as 6 for your x value in which you can play up to 6 games.

Answer:

6 games

Step-by-step explanation:

you do 2.50 - 22 this you divide 3.25 by what you have left

PLEASE HELP ME
Function A is represented by the equation y= 2x+5.
Function B is a linear function that goes through the points shown in the
table
x134
y-13s9
Which statement correctly compares the rates of change of the two
functions?
OA. The rate of change of function A iS 5.
The rate of change of function B is 2
rate of change of function A is 5
OB.e of change of function B is 4.
OC. The rate of change of function A is 2
The rate of change of function B is 4
OD. The rate o ctag
he rate of
ge of function A is 2
of change of function B is 2

Answers

Answer:

D

Step-by-step explanation: BABABOOEY

EASY QUESTION- MERRY XMAS

Answers

Answer:

The answer will be B.

Step-by-step explanation:

When the number is with the x, it moves the graph in the horizontal direction, and when the number is NOT with the x, it moves the graph in the vertical direction.

So, since -6 is with the x, it is moving the graph Right 6 units. Changing it to 4 units results in the the graph moving 2 units left from 6 units.

The -1 is NOT with the x, so it moves the graph down 1 unit. Taking out the -1 (so putting a 0) results in the graph moving 1 unit up from -1.

So, the graph translated up 1 unit and left 2 units.

#teamtrees #WAP (Water And Plant)

Answer:

Its B

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the red
graph?

Answers

Step-by-step explanation:

Option B is correct as the y-intercept is 6.

Which statements describe an element? Check all that apply.

1. An element is a pure substance.
2.An element is made of only one type of atom.
3.An element is made of two or more different types of atoms.
4.An element can be broken down into a simpler form.
5.An element cannot be broken down into a simpler form.

Answers

Answer:

1,2,5

Step-by-step explanation:

That is just the definition of an element :) the other two answers contradict these.

Round 11,900 to the nearest thousand.

5 stars for a correct answer.

Answers

Answer:

12,000

Step-by-step explanation:

The two thousands that 11,900 is in between are 11,000 and 12,000 which are our two options to choose from. 11,900 is only 100 away from 12,000 and 900 away from 11,000. Because the distance between 11,900 and 12,000 is shorter than the distance between 11,900 and 11,000, this means that 12,000 would be our answer since it is closer.

(I'm really sorry if this is confusing, I'm not good with words)

12,000
lolllllllllllllllll

I GIVE U BRAINIESt THINg PLZ HelP ASAP pLzBshiwwjbsshh

Answers

Answer:

She should of used quotient rule since the beginning but if not its step 2

Step-by-step explanation:

Given the figure below, find the values of x and z.
(12x - 5)
(13x - 15)
20

Answers

Step-by-step explanation:

(12x - 5 )+ ( 13x _15 ) =180

25X = 180 +20=200

X= 8 ⇒

Z= 12X _5

Z= 12 × 8 -5 = 91 ⇒

-4(2x+4)=-7x
solve for x

Answers

Answer:

x should equal 16

Step-by-step explanation:

In 2005, 120 students at Lincoln High School
had smart phones. By 2010, 345 students in the
same school had smart phones. Which of the
following best describes the annual rate of change
in the number of smart phones students had from
2005 to 2010 at Lincoln High School?
A) The average increase in the number of smart
phones per year is 40.
B) The average increase in the number of smart
phones per year is 45.
C) The average increase in the number of smart
phones per year is 50.
D) The average increase in the number of smart
phones per year is 55.

Answers

Answer:

The average increase in the number of smart

phones per year is 45

Step-by-step explanation:

Given that :

Number of students who had phones in 2005 = 120

Number of students who had phones in 2010 = 345

(345 - 120) / 5

225 / 5

= 45

Hence, average increase in number of smartphones per year = 45

Solve 3n−2=4n−6 . Please help.

Answers

Step-by-step explanation:

Step 1: Subtract 4n from both sides.

3n−2−4n=4n−6−4n

−n−2=−6

Step 2: Add 2 to both sides.

−n−2+2=−6+2

−n=−4

Step 3: Divide both sides by -1.

−n−1=−4−1

n=4

Answer:

Sammy tried to verify the solution by substituting x = 5 back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?

Answers

Answer:

Step-by-step explanation:

x=5

Find the area of the circle.

Answers

Answer:

A=346,6 in²

Alternative C

Step-by-step explanation:

Length of circunference:

L=2πR,  where r is the radius

Area of circle:

A=πR²

We know that L=66

66=2πR, then:

πR=33in

[tex]R=\frac{33}{\pi }[/tex]

Thus:

[tex]A=\pi (\frac{33}{\pi} )^{2}[/tex]

[tex]A=\frac{1089}{\pi} \\\\A=346,63[/tex]

Find the measure of the angle indicated in bold

Answers

Answer:

29) 60°

30) 80°

Step-by-step explanation:

29)

8x + 4 = 11 + 7x

x = 7

∴ ∠ = 11 + 7(7) = 60

30)

14x - 4 = 12x + 8

2x = 12

x = 6

∴ ∠ = 14(6) - 4 = 80

Find the inverse of the function.

Answers

Answer:

The option 'b' is true.

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)=\frac{2}{x+7}[/tex]

A function g is the inverse of the function f if for y=f(x), x=g(y)

[tex]y=\frac{2}{x+7}[/tex]

Replace x with y

[tex]\:x=\frac{2}{y+7}[/tex]

solve for y

[tex]y=\:\:\frac{2}{x}-7[/tex]

Thus,

[tex]f^{-} (x)=\frac{-7x+2}{x}[/tex]

Therefore, option b is true.

Which expressions are equivalent to x3x+8x3x?

Answers

Answer:

The answer is 27x

Step-by-step explanation:

A new auditorium is begging built for a college the balcony has 200 seats the floor has 25 rows with x seats in each row the number of people in the auditorium must be under 750 to meet safety regulations what is the solution of this inequality and what is it's meaning

Answers

Question:

A new auditorium is being built for a college. The balcony has 200 seats. The floor has 25 rows with x seats in each row. The number of people in the auditorium must be under 750 to meet safety regulations. What is the solution of this inequality, and what is its meaning?​

Answer:

[tex]200 + 25x < 750[/tex]

Number of seats in a row must be less than 22

Step-by-step explanation:

Given

Total = Less than 750

Current Seats = 200

Rows = 25

Seat per row = x

Required

Represent as an inequality

The scenario will be represented as:

[tex]Current\ Seats + Rows * x = Total[/tex]

Substitute 200 for Current Seats

[tex]200 + Rows * x = Total[/tex]

Substitute 25 for Rows

[tex]200 + 25* x = Total[/tex]

[tex]200 + 25x = Total[/tex]

Substitute <750 for Total.

The equation then becomes

[tex]200 + 25x < 750[/tex]

Solving further:

[tex]25x < 750 - 200[/tex]

[tex]25x < 550[/tex]

[tex]x < \frac{550}{25}[/tex]

[tex]x < 22[/tex]

This means that:

Number of seats in a row must be less than 22

Jay has lost his mother’s favorite necklace, so he will rent a metal detector to try to find it. A rental company charges a one time rental fee of $15 plus $2 per hour to rent a metal detector. Jay has only $35 to spend. What is the maximum amount of time he can rent the metal detector?

Answers

Answer:

he can rent it for 10 hours

Step-by-step explanation:

35 - 15 = 20

20 divided by 2 equals 10

Answer:

10 hours

Step-by-step explanation:

Say x is the number of hours he can rent the detector at most. Using it, we can set up this equation:

15 + 2x = 35

Subtract 15 from both sides

2x = 20

Divide by 2 on both sides

x = 10

Ninety percent of the people who have a particular disease will have a positive result on a given diagnostic test. Ninety percent of the people who do not have the disease will have a negative result on this test. If 5 percent of a certain population has the disease, what percent of that population would test positive for the disease?

Answers

Answer: 0.14

Step-by-step explanation:

Set up a tape diagram for the equation 2x + 10 = 20

Answers

Answer is X=5

Subtract  

10  from both sides of the equation

Simplify

Divide both sides of the equation by the same term

and done

Daniel can eat 4 brussels sprouts in 1 minute. How many minutes would it take to eat 12 sprouts?

Answers

Answer: 3 minutes.

Work: This is just simple multiplication. 4 x _ = 12. If you look at a multiplication table, it's 3. So, it would take 3 minutes to eat 12 sprouts. I hope this helps, and stay safe! :)

Answer:

3 min

Step-by-step explanation:

[tex]12/4= 3[/tex]

WILL GIVE BRAINLIEST
Estimate the solution of the equation a(x) = b(x)
IMAGE BELOW

Answers

Answer:

The solution of the equation a(x) = b(x) is (9, 5.5)

Step-by-step explanation:

The solution of the system of the linear equations is the common ordered pair in their solutions, this solution is the point of intersection of the lines which represent the two equations graphically

In the given figure

∵ There are two lines, the blue line, and the red line

→ Let the blue line represents a(x) and the red line represents b(x)

∵ The solution of the equation a(x) = b(x) is the point of intersection of

    the two lines

∵ The x-coordinate of this point is 9

∵ The y-coordinate of this point is between 5 and 6 (5.5)

∴ The coordinates of the point of intersection are (9, 5.5)

The solution of the equation a(x) = b(x) is (9, 5.5)

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