The family car leaves the house 112 hours after the moving van and follows the same route. The moving van travels at an average speed of 45 miles per hour. The family car travels at an average speed of 60 miles per hour. After how many hours of driving will the family car catch up to the moving van?

Answers

Answer 1

Answer: 336 hr

Step-by-step explanation:

Given

The speed of the van is 45 mph

The speed of the family car is 60 mph

distance traveled by van in 112 hours is

[tex]d_1=45\times 112=5040\ miles[/tex]

After 112 hours family car started its Journey. Suppose, van travels another x miles after the family car started its Journey

So, distance traveled by the family car in 't' hours

[tex]\Rightarrow 60\times t=112\times 45+45\times t\\\\\Rightarrow 15 t=5040\\\\\Rightarrow t=\dfrac{5040}{15}=336\ hr[/tex]

So, after traveling 336 hr, the family car will catch the van


Related Questions

The area of a triangle is 12 1/2 the area of a parallelogram with the same base and height.

True or false?

Answers

Answer: True

Step-by-step explanation: Hope this help :D

Use the points form of a line to write the equation of a line thag that has a slope of 2 and passing through the points (-4,3) write the equation in slope intercept form

Answers

If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope . To do that we are going to use the slope formula: .

From our two points we can infer that , , , . Lets replace those values in the slope formula:

Now that we have our slope, we can use the slope-intercept formula:

We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is .

Preform the indicated operation. √75 + √12

Answers

Answer:

the exact form is [tex]7 \sqrt{3}\\[/tex] but the decimal form is 12.124 :)))

Step-by-step explanation:

Y=4 find the value of 3y+5

Answers

Answer:

17

Step-by-step explanation:

3(4)+5

12+5

17

Answer:

17

Step-by-step explanation:

I need this by tomorrow 3.

Answers

Answer:

it's the first one girl! :)

Step-by-step explanation:

Answer:

That is correct at least to what know...

Step-by-step explanation:

Select all that apply. Given the points (3, 2) and (6, 4), which of the following are true about the line passing through these points? The point (-6, 9) is also on the line. The line has a slope of . The line has a slope of . The line represents a direct variation function.

Answers

Answer:

The point (-6, 9) is also on the line. False

The line has a slope of . (this statment is incomplete!)

The line has a slope of . (this statment is incomplete!)

The line represents a direct variation function. True ( y=2/3x )

Answer:

Slope of the line through the points  (3,2), (6,4) is (4-2)/(6-3) = 2/3

"The line has a slope of 3/2".   False, the slope is 2/3 not 3/2

"The line represents a direct variation function".  True, as y = (2/3)x     (which is a direct variation)

"The line has a slope of 2/3". True (as just proved by number one)

"The point (-6,9) is also on the line".  Does y = (2/3) x 9 = (2/3) (-6) = -4?

No sir it does not so that's False.

Step-by-step explanation:

I need help pls I don’t understand it

Answers

12x12 + 12x12 = 288 = root of 288= 16.97

Can someone help me write and solve an equation to this word problem : A seventh grade class sells gift cards. Each gift card sells for $15.00. The school library gets 35% of the money earned for each gift card sold. How much money does the library get if the class sells 500 gift cards

Answers

Answer:

The anwser should be 2625

Step-by-step explanation:

35% of 15 is 5.25

5.25 multiple by 500 is 2,625

Leland hit the target 45 times in 50
shots using a bow and arrow. Based
on his first 50 shots, what would be a
reasonable prediction of the number
of times Leland would hit the target
in 200 shots?

Answers

Answer:

180

Step-by-step explanation:

200/50=4

45x4=180

Please help! I need it rn tysm <3

Answers

Answer:

B

Step-by-step explanation:

because you have a number multiplied 3 times, and you subtract 4 to that, which results in 4 less than 3 times a number

Please help me !! I don’t know how to work this problem

Answers

Answer:

A. and B. are true.

Step-by-step explanation:

For a, -4 + 3(-5) = -19, and 18 is obviously greater.

For b, -7 - 2(-5) = 3, and 3 is greater than 1.

Help me figure out what "w" is

Answers

Answer:

w = 17.4º OR 17 2/5º

Step-by-step explanation:

5w - 3 = 90º

5w = 90º - 3

5w = 87º

w = 17.4º OR 17 2/5º

Hope that helps, and sorry if it's wrong!

Put in order from smallest to largest 1, 7/16, 0, 5/2, 2/13, 5/9

Answers

Answer:

0 < 2/13 < 7/16 < 5/9 < 1 < 5/2

Step-by-step explanation:

7/16=0.4375
5/2=2.5
2/13=0.154
5/9=0.55
0, 2/13, 7/16, 5/9, 1, 2.5

Ms. Rios washed
2/7
of her laundry. Her son washed
1/3
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?

Answers

Ms. Barnes washed more.

PLS HELP ASAP!!!!!


I BEG!!!!

Answers

Answer:

A

Step-by-step explanation

The circle is filled in which means that -10 is included. and it is going to the right which means it is greater than -10. Hope this helps!

Answer A, x is greater than and equal to -10.

pls help me once again not a test​

Answers

Answer:

oop it looks like I am helping again! lol

1 and 1/10

Step-by-step explanation:

0.25 + 0.45 + 0.40 = 1.10

1.10 as a fraction is 11/10

11/10 simplified is 1 and 1/10

hope this helps lol :)


CAN SOMEONE PLS HELP I RLLY NEED HELP ASAP ANY HELP WOULD BE ENOUGH PLS AND TY PLS

Answers

Answer:

x = 25°

Step-by-step explanation:

The secant- secant angle is half the difference of the intercepted arcs, that is

x = [tex]\frac{1}{2}[/tex] (80 - 30)° = 0.5 × 50° = 25°

Answer:

x = 25°

Step-by-step explanation:

Hope this helps

The ground pool for a hot air balloon can see the balloon in the sky at an angle of elevation of 11°. The pilot radios the crew that the balloon is 950 feet above the ground. What is the horizontal distance from the balloon to the ground crew.

Answers

Answer:

4,886.83feet

Step-by-step explanation:

The question will result in a right triangle with

Opposite = distance of the balloon above the ground = 950feet

Angle of elevation = 11 degrees

Required

Horizontal distance h (adjacent)

Using SOH CAH TOA identity

Tan theta =opp/adj

Tan 11 = 950/h

h = 950/tan 11

h = 950/0.1944

h = 4,886.83feet

Hence the horizontal distance from the balloon to the ground crew is 4,886.83feet

find two numbers that multiply to 36 and add to -20

Answers

Answer:

-18+2 hope it will help u

Help this is due in 2 minutes

Answers

B.



Assuming the percent is out of 100, we subtract 100-78 because milton is experiencing a decrease. If Milton were to experience an increase, we would have to add one to the .78 which would make it 1.78, but since that is not the case we know it is a decaying function. Which leaves you with b being your correct answer

Find k so that x + 2 is a factor of x ^ 3 - k * x ^ 2 + 2x + 7k. (If anyone could help me out with this that would be amazing!!)

Answers

Answer:

k = 4

Step-by-step explanation:

If x + 2 is a factor of the polynomial;

By the factor theorem, if we set x + 2 = 0, then make x the subject of the formula; if we substitute the value into the polynomial, the result we should have after calculating should be zero

So, we have it that;

x + 2 = 0

x = -2

Substitute into the polynomial and equate to zero

(-2)^3 - k (-2)^2 + 2(-2) + 7k = 0

-8 -4k -4 + 7k = 0

-12 -4k + 7k = 0

-12 + 3k = 0

-3k = -12

k = -12/-3

k = 4

Solve the equation b/4 +2=-1

Answers

Answer:

b = -4

Step-by-step explanation:

[tex]\frac{b}{4} + 2 = 1\\\\\frac{b}{4} = -1\\\\b = -4[/tex]

3x-4=58 ////helllppppo

Answers

Answer:

-0.75

Step-by-step explanation:

7. Four points are graphed on the coordinate grid.
A Point W
B. Point V
C. Point S
D. Point R
Which point is best represented by the ordered pair (2,-5,5)

Answers

Don’t click that link. The answer is W

What's the value of
[tex] \sqrt{25} + 5 + 10 - 5[/tex]

Answers

Answer:

Step-by-step explanation: also it’s 15

[tex] \sqrt{25} + 5 + 10 - 5 \\ 5 + 5 + 10 - 5 \\10 + 10 - 5 \\ 20 - 5 \\ = 15[/tex]

[tex] \\ [/tex]

ANSWER QUICK PLSS!!!
Write congruence statements comparing the corresponding parts in the congruent triangles shown below.


a.

congruent; a reflection followed by translation


b.

congruent; a rotation followed by a reflection


c.

congruent; a reflection followed by another reflection


d.

not congruent

Answers

The correct answer is letter C

The average distance from Earth to the Moon is approximately 238,900 miles. what is the distance in scientific notations?​

Answers

( 476,000 miles in general )

I need help I’ll give u brainliest but i need an explanation or I can’t give it

Answers

Answer:

the answer is a

Step-by-step explanation:

(NO FAKE LINKS PLS) Use the geometric mean to find the value of e

Answers

Answer:

I have already answered this in your last question:)

Plzz help!!! Will give Brainiest

Answers

The three acute angles are 70 and the obtuse ones are 110.
Other Questions
a normal population has a mean of 59.8 and a standard deviation of 18.0. a sample of 10 will be taken. find the probability that the sample mean will be greater than 59.8. a) calculate the z score. (round your answer to 2 decimals.) b) find the probability that the sample mean will be greater than 59.8. (round your answer to 4 decimals.) this passage is excerpted from edith wharton, house of mirth, originally published in 1905. Does Claudius feel guilty Act 3 Scene 1? A 2kg ball is held at a height with 250J of gravitational potential energy. The ball is dropped. Calculate the velocity of the ball just before it hits the floor. URGENT!in how many ways can 7 books be arranged in a shelf if three particular books must stay together? What does the plant start with and end with? T/F alpr units affixed to police patrol cars automatically geocode each vehicle a specific location, thereby creating a massive searchable database of vehicle locations. What is generally true about deductibles in insurance policies? When your powered vessel is underway Can your passengers sit with their legs hanging over the side? find the interval of convergence of the power series. (be sure to include a check for convergence at the endpoints of the interval.) (7x)^n/(10n)! Write an inequality for the graph All of the following are true of the lacrimal glands, except that they a. produce most of the volume of tears. b. are located in recesses in the frontal bones c. produce mucus d. produce lysozyme e. produce watery secretions. To determine the acceleration due to gravity, g using simple pendulum atdifferent places. ( IT IS MY SCHOOL PROJECT ITS SHOULD ME OF MINIMUM 20 PAGES ) How to calculate wave velocity for a given periodic wave with a wavelength of 3m has a frequency 6Hz? Is 3x a polynomial? What are the three 3 main purpose of the author in writing? What is the basis of accountants and or auditors in charging professional fees to their clients? Evaluate (if possible) the six trigonometric functions of the angle (0).-5pi/6 James was also measured at 23 inches long. How many centimeters long was he at birth At 8 a.m., the hobbit left Beorn's and headed towards the Misty Mountains at 3 mph. 2hours later, Gandalf left Beorn's and headed in the same direction. If Gandalf was 5 milesahead at noon, what was his speed?