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.]

Answers

Answer 1

Answer:

6-hours

D = C + T

Step-by-step explanation:

The following equations represent the total distance travelled by each vehicle, the truck (C) and the Train (T) where x is the amount of time travelling in hours...

C = 45x

T = 60x

Since the truck traveled 2 hours longer than the train we can add this value to the variable x in the truck's distance equation and then make both equations equal one another to calculate the number of hours before they cover the same distance...

45(x+2) = 60x  ... distribute 45 evenly

45x + 90 = 60x ... subtract 45x from both sides

90 = 15x  ... divide both sides by 15

6 = x

Finally, we can see that both vehicles would have traveled the same distance at the 6-hour mark. Now to calculate the total distance traveled (D) we can use the following equation...

D = C + T


Related Questions

Let v = (-13, 2) and w= (–9,-5). What is w-v?
(-22, -23)
(-4,7)
(4,-7)
(22, 3)

Answers

Answer:

C) (4,-7)

Step-by-step explanation:

The value of w-v is (4, -7).

What is Coordinates?

Coordinates is an address, which helps to locate a point in two-dimensional space.

Here, given coordinates;

v ≡ (-13, 2)    and    w ≡ (-9, -5)

Now, we need to find;

w - v ≡ (-9-(-13), -5 - 2)

        ≡ (-9+13 , -7 )

        ≡ (4, -7)

Thus, the value of w-v is (4, -7).

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what is K=2r-5s solving for r

Answers

Ans: here is the answer

Can anyone help? Ty!

Answers

Answer:

15

Step-by-step explanation:

15 x .2 = 3

could you answer this question cause i need it for math

Answers

Step-by-step explanation:

5p/7-18=-43

5p/7=-43+18

5p/7=-25

5p=-25×7

5p=-175

p=-175/5

p=-35

not sure lol

Answer:

5p/7 = -43+18

5p/7 = -25

5p= -25*7

p = -35

Step-by-step explanation:

Mr. Clemens painted his barn for 3 and 4/5 hours in the morning. He painted the barn for 5 and 3/4 hours in the afternoon. How many more hours did Mr. Clemens paint the barn in the afternoon than in the morning?

Answers

Answer:

1 19/20 hours

Step-by-step explanation:

We solve the above question using Subtraction operation

Hence:

The number rod hours Mr. Clemens painted the barn in the afternoon than in the morning is calculated as:

5 3/4 hours - 3 4/5 hours

5- 3 +( 3/4 - 4/5)

Lowest Common Denominator = 20

2 + (15 - 16/20)

2 + -1/20 hours

= 1 19/20 hours

What function equation is represented by the graph?
f(x)=−4x−3
f(x)=1/4x−3
f(x)=−1/4x−3
f(x)=1/4x+3

Answers

Answer:

f(x)=1/4x-3

Step-by-step explanation:

y=mx+b

y-intercept is -3

-3=b

rise over round to find the slope

up 1 over 4

m=1/4

The chicken coop at the petting farm is 10 x 14‘. The farm would like to double the current area by adding the same amount, X, to the length and width. What are the dimensions of the new enclosure? Round to the nearest hundredth of a foot

Answers

Answer:

x = 4.85 feet

Step-by-step explanation:

Original area of the petting farm = 10 × 14

= 140 square feet

.

New area = double the original area = 140 * 2

= 280 square feet

New area of the petting farm =

Width × length

280 = (10+x) × (14+x)

280 = 140 + 10x + 14x + x²

280 - 140 = x² + 24x

140 = x² + 24x

x² + 24x - 140 = 0

Solve the quadratic equation

x = -b ± √b² - 4ac / 2a

= -24 ± √(24)² - 4*1*-140 / 2*1

= -24 ± √ 576 - (-560) / 2

= -24 ± √ 576 + 560 / 2

= -24 ± √1,136 / 2

= -24 ± 4√71 / 2

= -24/2 ± 4√71/2

= -12 ± 2√71

x = 4.8523 or x = -28.8583

x can not be a negative value

Therefore,

x = 4.85 feet to the nearest hundredth

After subtracting 2x from each side, the resulting equation is shown below:
2x--3y=-9
-3y=-2x-9
the final step to solve for y would be to ?

Answers

Answer:

divide each number by negative 3

Step-by-step explanation:

-3y=-2x-9

y=2/3+3

Solve the triangle with the law of sines

Answers

Answer:

AC = 12.6

AB = 49.8

C = 73°

Step-by-step explanation:

(B/sin(14)) = (52/sin(93))

B = (52*sin(14))/sin(93)

B = 12.6

(C/sin(73)) = (52/sin(93))

C = (52*sin(73))/sin(93)

C = 49.8

2 2 , 0 6 4 ÷ 3 9 4 =

Answers

Answer:

0.06 (0.06061538462)

Answer:

56

Step-by-step explanation:

Given vectors u = 3, 4, and y=(4,3), what is the measure of the angle between the vectors?

16.39
163.7°
Undefined

Answers

Answer:

b on edge, 16.3

Step-by-step explanation:

trust

The angle between the two given vectors is 16.26°

How to find the angle between two vectors?

Here we have the vectors u = (3, 4) and y = (4, 3).

We know that:

u*y = |u|*|y|*cos(θ)

Then:

u*y = 3*4 + 4*3 = 24

And:

|u| = √(3^2 + 4^2) = √25 = 5 = |y|

Then we have:

24 = 5*5*cos(θ)

24/25 = cos(θ)

To find theta, we apply the inverse cosine function in both sides:

Acos(24/25) = θ = 16.26°

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Delilah does 184184184 jumping jacks in 444 minutes. She does her jumping jacks at a constant rate.
How many jumping jacks can Delilah do per minute?

Answers

Answer:

24889754.  594 repeat

Step-by-step explanation:

can u solve this easy question:)​

Answers

Answer:

2.2

Step-by-step explanation:

a = v/t

v = 120km\h = 120*1000/3600= 33.3m/s

a = 33.3/15

a = 2.2 m/s^2

Solve for x. x3=8125 Enter your answer in the box as a fraction in simplest form. x =

Answers

The exact form of that is x=5 cube root of 65

The cubic equation x³ = 8125 has only one solution because it has no other variable. Then the value of x is 20.104.

What is the solution to the equation?

The solution of the equation means the value of the variable.

The given equation is x³ = 8125.

Taking the cube root, then we have

x = ∛8125

x = 20.1036 ≈ 20.104

The cubic equation x³ = 8125 has only one solution because it has no other variable. Then the value of x is 20.104.

More about the solution to the equation link is given below.

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You know the length and the width of a scale model. What additional information do you need to know to find the scale of the model? The options are... A. The width or height of the actual item B. The length or width of the actual item C. The height or width of the actual item D. The depth or height of the actual item and how would I explain my reasoning depending on the answer?

Answers

Answer:

B; The length or width of the actual item

Step-by-step explanation:

In cases like this, to find the scale factor, we will need to make a comparison between the length or width of the scale model and the length or width of the actual item

By having a further information about the length or width of the actual item, then we can actually make a comparison by dividing the length or width of both cases by each other

This means that we compare the length of the scale model and the length of the actual item

Then the width of the scale model and the width of the actual item

What is the remainder when (4x^3 + 3x^2 - 17x - 12) is divided by (x - 1)?

Answers

Answer:

remainder is 4x^2+7x-10-  22/x-1

Step-by-step explanation:

What is the value of 0.15 divided by
0.05?​

Answers

Answer:

0.3

Step-by-step explanation:

The answer is actually 3

Which ordered pair is in the solution set of 2x - 5 y > 10.​

Answers

The answer will be Y<-2+2x/5

What is the solution to m/-7 less than or equal to 14? m Greater than or equal to –2 m Greater than or equal to –98 m Less than or equal to –2 m Less than or equal to –98

Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Based on what you have read, write two to three sentences explaining what James Cross Giblin probably wants readers to think about people who focus on difficult goals.

Answers

Answer:

He wants them to know he did it corrcet and knows the writting

Step-by-step explanation:

The ratio of girls to boys at a party is 25:15. Write this as simply as possible.

Answers

answer: 5:3

explanation: you have to find the least common denominator of the two numbers. to do that you must think “can both these numbers be divided by 2? 3? 4?” and so on. you will find that 5 is the least common denominator, so you divide both numbers by 5 and end up with the simplest form which is “5:3”

The required simple ratio of the given ratio of girls to boys at a party is 5 : 3.

Given that,
The ratio of girls to boys at a party is 25:15. To write this as simple.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
The ratio of girls to boys at a party is 25:15,
= 25 / 15 implies there are 25 girls over 15 boys in the school party,
= 5 * 5 / 5 *3
= 5 / 3 it implies there are 5 girls over 3 boys in the school party.

Thus, the required simple ratio of the given ratio of girls to boys at a party is 5 : 3.

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Someone help me solve this please :(

Answers

Answer:

-5

Step-by-step explanation:

multiply both sides of the equation by the denominator(12)

thus giving:

14+10x=-3(12)

14+10x=-36

take 14 to the other side;

10x=-36-14

10x=-50

divide both side by 10

x=-5

A deep sea diver is at 45 feet below sea level. A helicopter is at 100 feet above sea level. What is the distance between the helicopter and deep sea diver?

Answers

Answer:

D = 55 feet

Step-by-step explanation:

Let below sea level is negative direction and above sea level is positive direction.

A deep sea diver is at 45 feet below sea level = -45 feet

A helicopter is at 100 feet above sea level = +100 feet

We need to find the distance between the helicopter and deep sea diver. It can be calculated by simply adding the above data as follows:

D = -45 +100

= 55 feet

Hence, the distance between the helicopter and deep sea diver is 55 feet.

Find the common difference for the sequence shown.



56, 49, 42, 35, ...

Answers

Answer:

7

Step-by-step explanation:

7 I think ..........

A cookie recipe requires 2.5 cups of sugar for every 10 cups of flour. If a
baker makes enough cookies to use 16 cups of sugar, how many cups
of flour would be used?







HELP FAST THIS IS A TEST AND ITS ABOUT TO END SOOOONNNNN

Answers

16 divided by 2.5 = 6.4 times 10 to make 64



Answer:64

A shirt is on sale for $18. This represents a 10% discount from the original price. What is the original price?

Answers

Answer:

16.2

Step-by-step explanation:

Answer:

The answer is  16.2

Step-by-step explanation:

In AJKL, if m2 J = 90°, then K and j are
A) Complementary
O B) Congruent
O C) Obtuse
OD) Right

Answers

You should have put a picture so we could see the graph

a local flower shop sells a dozen roses for 12.85 how much will one rose cost

Answers

Answer:

1.07

Step-by-step explanation:

Cuanto es 15 Multiplicado por 15

Answers

15 x 15 = 225 espero que esto ayude

how do I solve this problem

Answers

Answer:

48

Step-by-step explanation:

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