Two cars start at the same point and travel in opposite directions. The first car travels 15 miles per hour faster than the second car. In 4 hours, the cars are 300 miles apart. Use the formula below to determine the rate of the second car. 4(r + 15) + 4r = 300 What is the rate, r, of the second car? Solve for r.

Answers

Answer 1

Answer:

The rate of the second car is 30 miles/hour

Step-by-step explanation:

The Given formula is:

4(r + 15) + 4r = 300, where r is the rate for the second car

Let us solve the equation to find r

→ Multiply 4 by (r + 15) first

∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60

→ Substitute it in the equation above

∴ 4r + 60 + 4r = 300

→ Add the like terms in the left side

∵ (4r + 4r) + 60 = 300

∴ 8r + 60 = 300

→ Subtract 60 from both sides

∴ 8r + 60 - 60 = 300 - 60

∴ 8r = 240

→ Divide both sides by 8

∴ [tex]\frac{8r}{8}=\frac{240}{8}[/tex]

r = 30

The rate of the second car is 30 miles/hour


Related Questions

i need with help again (-70)-(-7)

Answers

-70+7= -63. The answer is -63

A triangle on the coordinate plane has points located at a (2,5), b (5,9), and c (8,5). What is the area of the triangle. 

Answers

Answer:

The area of the triangle is 12 unit²

Step-by-step explanation:

The vertices of the triangle are;

a(2, 5), b(5, 9), and c(8, 5)

The area of a triangle given coordinates can be given by the following determinant;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix} = \dfrac{1}{2} \left | x_{1}\cdot y_{2} - x_{2}\cdot y_{1} + x_{2}\cdot y_{3} - x_{3}\cdot y_{2} + x_{3}\cdot y_{1} - x_{1}\cdot y_{3}\right |[/tex]

Therefore, we have;

[tex]\Delta = \dfrac{1}{2}\begin{vmatrix}2 & 5 & 1\\ 5 & 9 & 1\\ 8 & 5 & 1\end{vmatrix} = \dfrac{1}{2} \left | 2\times 9 - 5\times 5 + 5\times 5 - 8\times 9 + 8\times 5 - 2\times 5 \right |[/tex]

Utilizing an online determinant calculator, we have;

[tex]\dfrac{1}{2} \times \left | -12 \right |= 12[/tex]

Therefore, the area of the triangle is 12 unit².

Mariah took 4 quizzes in her class during the past month. Her scores were 92, 94, 100, and 83. What was her mean quiz score?

Answers

Answer:

Her mean quiz score is 92.25%.

Answer:

92.25

Step-by-step explanation:

Mean is the same as average. Add all the scores together and then decide by the number of scores.

(92+94+100+83)÷4

369÷4=92.25


Math
Jim baked 24 cupcakes for the upcoming bake sale. He also bought drinks.
Which sets below are factor pairs of 24?
A (3,6)
B (4.6)
C (6,8)
D (1, 24)
E (38)
Click Submit below if you want to finish the test and see the results
Save and Exit
9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
26 27 28

Answers

your answer is b(4,6) explain: hajsjsjdjjshahshshsjsjsjjsjsjsjsjsjsjsjjsjsjsjs
The factor pairs are:
D (1,24)
B (4,6)
Because:
1 x 24 = 24
6 x 4 = 24

Van bought a 16-pound bag of dog food. His dog ate of the food. How many pounds of dog food did the dog eat?dogs with dog food it's a doggy ​

Answers

The dog ate 16 pounds of food

Answer:

The answer is 13 pound of dog food

Step-by-step explanation:

Here is your explanation 16 is a even  

number and you can put it in 13 because

13+ 13 =16

HELP ASAP PLS, matching sequence to its recursive formula

Answers

A to goes to iv; B goes to ii; C goes to i; D goes to iii

1. You decide to buy some new clothes. The subtotal comes to $123.79, but
you have a 15% off coupon. What is the total you will spend? *

Answers

Answer:

$105.22

Step-by-step explanation:

PLEASE ANSWER FAST WILL GIVE BRAINILY
Write an equation or inequality to represent the relationship "three
times a number decreased by 12 is equal to -18". Then solve.
a. Equation :
b. Answer:

Answers

Answer:

a. 3x-12= -18 b. x=-2

Step-by-step explanation:

I really need help :( I would really appreciate it:)

Answers

Answer:

3,32,6,56

Step-by-step explanation:

If h(x) = -4x - 10, find h(-5).
0-30
01.25
O 10
0-1

Answers

Answer:

h(-5) = 10

Step-by-step explanation:

h(x) = -4x - 10

Let x = -5

h(-5) = -4*-5 - 10

         = 20 -10

         = 10

its 10 ok that was easy sorry i need 20 characters

help ASAP please will give BRAINLIEST

A car goes from 16 m/s to 2 m/s in 3.5 s. What is the car’s acceleration? SHOW WORK

Answers

Answer:

acceleration = -4m/s^2

Step-by-step explanation:

Aceleration = (Final speed - Initial speed)/time

In this case, acceletarion = (2 - 16)/3.5 = -14/3.5 = -4

acceleration = -4m/s^2

XY−→− bisects ∠WXZ and m∠WXY=29∘. Find m∠ZXY and m∠ZXW.

Answers

Answer:

29° and 58°

Step-by-step explanation:

Since XY bisects ∠ WXZ then ∠ WXY and ∠ ZXY are congruent, thus

∠ ZXY = ∠ WXY = 29°

∠ ZXW = ∠ WXY + ∠ ZXY = 29° + 29° = 58°

It took a sports store 9 weeks to sell 90 soccer
balls. How many are sold per week?

Answers

Answer:

it would be 10 soccer balls

Step-by-step explanation:

10 every week if it was constant (because they could've sold more one week then less the next) but the genuine answer is 10 soccer balls :)

Please help me out with this! *It's just an extra practice assignment :)​

Answers

Answer:

t and r are parallels

t and p are perpendicular

Step-by-step explanation:

r and t have the same coordinates 4,1 but one has a negative 4 and 1

t and p have a dot on the same spot

ALGEBRA 2 PLS HELP ME use square root to answer btw

Answers

Answer:

factor x+7 (so (x+7)(x+7)) and then solve like a normal equation

Which statement is true for the values of P and Q on this number line? P Q + + + + -2 -1 0 1 -6 -5 -4 لی A) ?>4 (B) PxQ< 5 CP+Q>-4 D P-Q > 0​

Answers

Answer: B

Step-by-step explanation:

Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.

Answers

Can you post one with a picture of the input/output tables? I don't see any.

What is the value of x

Answers

Answer: 2x= 40 so 2x20=40

Step-by-step explanation:every triangle has to add up to 180 digrees

65+75+40=180


A store is having a sale on hats. The sale is buy one hat, get one 50% off. The original price of one hat is $34.98. Nate bought several hats, and the
total cost was $262.35.
How many hats did she buy

Answers

Answer:

15 hats

Step-by-step explanation:

First off, we need to divide 34.98 by 2 because it is 50 percent off.

We get 17.49 dollars.

262.35/ 17.49 because we need to find out how many hats Nate bought.

We get 15 hats

What is the rate of change from 2
gallons to 4 gallons? Pls I need help!!

Answers

Answer:

2 gallons

Step-by-step explanation:

A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.

Answers

Answer:

5% solution needed = 5.7 liters

40% solution needed = 4.3 liters

Step-by-step explanation:

Let the amount of 5% solution is needed = x liters

And the amount of 40% solution is needed = y liters

Concentration of the final solution = 20%

5x + 40y = 20(x + y)

x + 8y = 4(x + y)

4y = 3x

x = [tex]\frac{4}{3}y[/tex] -------(1)

Total volume of the final solution needed = 10 liters

Therefore, x + y = 10 --------(2)

Now substitute the value of x from equation (1) to equation (2).

[tex]\frac{4}{3}y+y=10[/tex]

[tex]\frac{7}{3}y=10[/tex]

y = 4.3 liters

From equation (2),

x + 4.3 = 10

x = 5.7 liters

Please help me!!!

Michael's parents doubled his pocket money. His sister paid $1 for ice-cream from her pocket money and he paid $3 of his poket money for an new toy. After making these payments, they have the same money left. If his sister's pocket money is $6, what was Michael's pocket money before doubling it?


1. How much money did they together have after making the payments?

2. How much money did Michael have after his pocket money was doubled. Find the value of x.

3. How much did Micheal's sister have before making the payment?

(ONLY THE ANSWER)

Answers

Answer:

x = $4

1. $10

2. $8

3. $6

Step-by-step explanation:

Let

Michael's doubled pocket money = 2x

He spends $3

Balance = 2x - 3

His sister's pocket money = $6

She spends $1

Balance = $6 - $1

= $5

2x - 3 = 5

2x = 5 + 3

2x = 8

x = 8/2

= 4

x = $4

After making the payments, they both together have $10

After Michael's pocket money was doubled, he has 2x

= 2(4)

= $8

His sister's has $6 before making the payments

An old rectangular wedding photo has a diagonal length of 13.6 inches and a height of 12 inches. Find the width of the photograph.

Answers

Answer:

just subtract i think and you will get

Step-by-step explanation:

13.6 - 12 = 1.6

The width of the photograph will be 6.4 inches.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as,

H² = P² + B²

An old rectangular wedding photo has a diagonal length of 13.6 inches and a height of 12 inches.

Then the width of the photograph is calculated as,

13.6² = 12² + w²

184.96 = 144 + w²

w² = 40.96

w = 6.4 inches

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ3

determine the unit rate for each ratio.
The gas station charges $180 for 3 hours of work. How much
they charge for 1 hour of work?

Answers

Answer:

$60

Step-by-step explanation:

You have to divide 180 by 3 to get the cost per hour :)

(13/7)^2 as a simplified proper fraction or a simplified improper fraction?

Answers

Answer:

Simplified improper fraction.

Step-by-step explanation:

A simplified proper fraction would not have a numerator bigger than the denominator.

An improper fraction would have a numerator bigger than the denominator that can be simplified.

We see here that the expression isn't proper as it can be simplified further. Therefore, it is improper.

Answer: Simplified improper fraction.

Step-by-step explanation: I got this correct on a worksheet


Misty is driving on a scenic road trip, and the graph shows the number of hours traveled compared to the number of miles of the trip
remaining. Use the graph below to the answer
450
MILES REMAINING
50
HOURS TRAVELED
Write an equation of the graph in slope-intercept form.

A) y=-100/3x+450
B) y=100/3x-450
C) y=450x+100/3

Answers

Given:

Consider the below figure attached with this question.

To find:

The equation of the graph in slope-intercept form.

Solution:

From the graph it is clear that, the line passes through (0,450) and (3,350).

So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-450=\dfrac{350-450}{3-0}(x-0)[/tex]

[tex]y-450=\dfrac{-100}{3}x[/tex]

Add 450 on both sides.

[tex]y=-\dfrac{100}{3}x+450[/tex]

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

donno

need help!!!!
6(x+3)=2x-64

Answers

6 + 1 8 = 2 - 6 4

Distribute.

Answer:

x= -20.5

Step-by-step explanation:

6x + 18 = 2x -64

-18 from both sides

6x = 2x - 82

-2x from both sides

4x = -82

divide by 4 on both sides

x= -20.5

1 pts
Question 2
Karen rented a moving truck to move all of the items in her home. The rental
company charged $42 a day plus $0.13 per mile in gas. If Karen rented the truck for 2
days and he total bill was $124.95, how many miles did she travel?
miles

Answers

Answer: 315 miles

Step-by-step explanation:

42x2=84

124.95

-84.00

_______

40.95

40.95 ➗ 0.13 = 315 miles

When the full season tickets first went on sale,2,000 Full season tickets sold for Section N. Two weeks after the tickets first went on sale, another 1,500 full season tickets were sold for section N. How much money spent on full season tickets for section N in total? How much more money was spent when the tickets first went on sale than after the first two weeks.

Answers

Image showing the arena ticket prices is missing, so i have attached it.

Answer:

$10000 more money was spent when the tickets first went on sale than after the first 2 weeks

Step-by-step explanation:

We are told that when the full season tickets first went on sale, that 2000 full season tickets were sold for section N.

Now, from the area ticket prices table attached, we can see that full season tickets for Section N costs $20

Thus, amount of money spent when the tickets first went on sale = 2000 × 20 = $40000

We are told that 2 weeks after the tickets first went on sale, they sold 1500 tickets. Thus, amount spent after 2 weeks release = 1500 × 20 = $30000

Difference in amount spent at the beginning and after 2 weeks = $40000 - $30000 = $10000

Thus, $10000 more money was spent when the tickets first went on sale than after the first 2 weeks

Difficult one for me: Geometry!

Answers

Answer:

what is your question here??

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