HELP!!!

Ten hours after a runner and cyclist leave the house at the same time and head in the same direction, the cyclist is 150 miles ahead of the runner. If the cyclist's speed is seven mph more than twice the speed the speed of runner, find the speed of the runner and the cyclist.

Speed of runner:
mph

Speed of cyclist:
mph

Answers

Answer 1

Answer:

8 mph and 23 mph

Step-by-step explanation:

Let the speed of runner be r and speed of cyclist be c

Time = 10 hoursDifference in distance = 150 m

We have following equations based on the given

10c - 10r = 150c = 2r + 7

Simplifying first equation

c - r = 15c = r + 15

Comparing this with second equation

2r + 7 = r + 152r - r = 15 - 7r = 8 mph

And finding the value of c

c = 8 + 15 c = 23 mph

Related Questions

what equation equivalent to 4x - 6y = 12

Answers

Answer:

12+6y=4x

Step-by-step explanation:

Answer:

y=2/3x−2

Step-by-step explanation:

A rectangular room is 4 yards long and 5 yards wide . Lucas is covering the floor with tiles that are 1 square foot . How many tiles will he need ?

Answers

Answer:

I think like 21

Step-by-step explanation:

i think it correct but if it not it okay but alaest I try my best on it

Two companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 a month. Company B does not charge an upfront fee but charges $35 a month. After how many months will the two companies charge the same amount?

Answers

Answer:

After 5 months each company will charge the same amount

Step-by-step explanation:

Math Modeling

The situation raised in the question can be modeled as follows.

Company A charges $75 upfront (flat or fixed fee) plus $20 a month. Being x the number of months of subscription, the total charge Ca is:

Ca = 75 + 20x

Company B charges no upfront fees, and $35 a month. We model its charges Cb as:

Cb = 35x

We want to know the number of months needed to make both companies charge the same amount. We'll do that by equating Ca=Cb:

75 + 20x = 35x

Subtracting 20x:

75 = 35x - 20x

Swapping and simplifying:

15x = 75

Solving:

x=75 / 15

x=5

After 5 months each company will charge the same amount

Pls help with 7th grade math pls quick I’ll give brainliest

Answers

Answer:

Drops by 1/6

Step-by-step explanation:

1 1/2 /=/ 1 2/3    1 1/2= 1 3/6=1 1/2=1 2/6

Please help this is due today!! Question: What is the relationship between the 6s in 660,472?​

Answers

Answer:

The first 6 is in the hundred thousands place.

The second 6 is in the ten thousands place.

Here are the info for the rest of the numbers:

6 = hundred thousands

6 = ten thousands

0 = thousands

,

4 = hundreds

7 = tens

2 = ones

Hope this helps you!

Best of luck!

guys help me 3(x−4)≥−2x+3

Answers

Answer:

sensya na bobo den ako e✌

3(4 + 5y)
Simplify the expression

Answers

Answer:

12 + 15y

Step-by-step explanation:

Multiply 3 by all the variables inside the ()

the quotient of 9 3/4 and 5/8​

Answers

Answer:

15.6

Step-by-step explanation:

The answer is 15.6 because if you divide 9 3/4 by 5/8, you get 78/5, or 15.6 in decimal form. Hope it helps!

15.6. If you convert 9 3/4 to a decimal, you get 9.75. 5/8 as a decimal would be .625. Divide those, and you get 15.6z

8 (2x - 3) - 6x? what the answer

Answers

Answer:

Step-by-step explanation:

Multiply the expressions.

− 32 x  − 24

Answer 2.5:

Step-by-step explanation:

Logan is solving this problem:

The cheetah ran 0.05 hours at a rate of 70 mph. How far did the cheetah run?

Logan solves the problem by writing:

d = r t. d = 70.05 miles.

What is wrong with Logan’s work?

A.) Logan used the wrong formula. He should have used A = bh.
B.) Logan did not use parentheses when substituting, and he did not multiply the numbers.
C.) Logan's work is correct.
D.) Logan labeled his answer incorrectly. The correct label is feet.

Answers

Answer:

Logan did not use parentheses when substituting, and he did not multiply the numbers.

Step-by-step explanation:

took the assignment, it was correct.

Answer:

B

Step-by-step explanation:

Solve the absolute value equation for n
1-8n +41 + 6 = 34

Answers

Answer:

n=1.85

Step-by-step explanation:

1-8n+41+6=36

-7n+47=36

shift 47 to the other side

-7n=36-47

-7n=-13

n=-13/-7

cancel the negative sign

n=13/7

n=1.85

please mark as brainliest!!!

Find the measure of angle b

Answers

Answer:

I'd say 42 degrees, but I might be wrong.

Step-by-step explanation:

It looks the same as the other labeled angle, which is 42 degrees, so that would make angle b 42 degrees.

Please helppp.

Simplify an expression for the perimeter and
an expression for the area of the rectangle
shown

Answers

Answer:

perimeter: 8x + 3 + 8x + 3 + 5 + 5=16x + 16

Area: 5(8x+3)=40x+15

Use partial quotients to divide. Show your work.
)
​___ group(s) of
​___ group(s) of
​___ group(s) of
0
Add the partial quotients.

Answers

I need more information on what I'm meant to be doing so I can help you because I don't understand the question after I re-read it over and over again.

The linear function f(x) = 0.3x + 76 represents the average test score in your history class, where x is the number of the tests taken. Determine the test average for your history class after completing test 3.
A.
76.9

B.
79.9

C.
76.3

D.
76

Answers

Answer:C

Step-by-step explanation:

The answer is C. 76.3

Please help ! :))
Find the equation of a line perpendicular to -3x + y=-5 that contains the point (1,4). Write the equation in slope.

Answers

Answer:

  y = -1/3x + 13/3

Step-by-step explanation:

-3x + y=-5

y = 3x -5

Slope of perpendicular line is the opposite inverse so 3 becomes -1/3.

y-intercept going through point (1, 4):

y = mx + b

4 = -1/3(1) + b

4 = -1/3 + b

b = 13/3

Perpendicular equation of a line:

y = mx + b

y = -1/3x + 13/3

A recipe says it produces the best summer drink. The recipe calls for cup of lemonade for every 1 cups of iced tea. If 16 cups of the summer drink are made, how many of those are cups of lemonade? Re-create the table to give your answer.

Answers

I think it’s 8 not 100% but I think

3. Find the precise. or exact. sum of these two numbers. 123+358 = ​

Answers

Answer:

481

Step-by-step explanation:

Jack owes a total of $24.00 to 6 different friends. If Jack owes each friend an equal amount, which answer choice represents the change in Jack's money when he pays one friend?

Answers

Answer:

5555555555555555555225313

Step-by-step explanation:

3

6

554

Answer:

$20.00

Step-by-step explanation:

24.00/6=4 so 24-4=20.00

The number of suitcases lost by airlines.

Answers

Answer:

4.3 billion

Step-by-step explanation:

The value of the x-intercept for the graph of 4x - 5y = 40 is

Answers

Answer: The x intercept is 10   or (10,0)

Step-by-step explanation:

4x - 5y = 40   The x-intercept of a line is when its y coordinate is equal to zero. Input zero into the equation for y and solve for x to find the x intercept.

4x-5(0) = 40

4x + 0  = 40

  4x = 40    

 x=  10

The x intercept is 10   or (10,0)

Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottles sold. Which set of numbers would be an appropriate domain for Dionne's function?

Answers

Complete question is;

Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottles sold. Which set of numbers would be an appropriate domain for Dionne’s function?

A) 0, 1, 2, 3, 4, …

B) …, −4, −3, −2, −1, 0

C) …, −3, −2, −1, 0, 1, 2, 3, …

D) …, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …

Answer:

Option A: {0,1, 2, 3, 4,....}

Step-by-step explanation:

Domain is simply a set of input while the range is a set of output values.

For example, if we have a function named f(x) = x², the domain will be all possible values of x being inputed while the range will be the value of f(x) for all possible values of x inputed.

Now, from the question, we are told that she wrote the amount of money she spent as a function of the number of bottles sold.

If the number of bottles sold is denoted by "x", it means the function is; f(x).

Now, number of bottles has to be a non-negative whole number or simply a non-negative integer. Thus, the possible values of x are all non-negative whole numbers like, 0,1, 2, 3, 4, 5....

Thus,domain is {0,1, 2, 3, 4,....}

Answer:

A. 0,1,2,3,4,.....

Step-by-step explanation:

7b-2/5=6b-7/5 nudfghnkdfbvugyteugdyvbbbvybhjedfs

Answers

Answer:

b=−1

Step-by-step explanation:

Which of the following functions is depicted?

Answers

Answer:

D

Step-by-step explanation:

Malcolm drew a circle with a diameter of d units, a radius of runits, a circumference of C units, and an area of A units. Which of the following could Malcolm use with his circle to define
PI?

HELP ME

Answers

Answer:

c because definition of circumference: the enclosing boundary of a curved geometric figure, especially a circle.

Answer:

C

Step-by-step explanation: water

(Essential Question) How do you create equations and use them to solve problems?

Answers

Answer:

Step-by-step explanation:

equations are created to solve for a certain variable. you can use the data given in the word problem to formulate a valid equation that incorporates all important components of the word problem. the variable can be represented as any letter (most commonly x or y) to find a value that is inconsistent or unknown. this is helpful to find a certain thing in the problem, such as the amount of hours needed to earn a certain amount of money.

Answer:

Equations are created to solve for a certain variable. you can use the data given in the word problem to formulate a valid equation that incorporates all important components of the word problem. the variable can be represented as any letter (most commonly x or y) to find a value that is inconsistent or unknown. this is helpful to find a certain thing in the problem, such as the number of hours needed to earn a certain amount of money.

A train goes from Springfield, MA to Boston at a speed of 40 mph. On the return journey it moves at a speed of 80 mph. If the return journey takes an hour less than the outward journey, what is the average speed overall of the train?

Answers

Answer:

The answer is 53.3333333

Step-by-step explanation:

first you know that the speed on the way there is 40 mph and the back is 80

lets call the time x On the way there the time would just be X on the way back it would be x-1 because it took one less our

to calculate the distance you need to do speed times time therefor the distance on the way there would be 40x and the way back would be 80x-80

Then I made an equation 40x=80x-80 X=2

so the distance would be 80 miles but to find average speed you need to do total distance over total time so it would be 160 over 3 because the time is 2x-2 x=2 so thats 3

Hope this helps

 

Which number
not in scientific notation?
6x10^24
2.01x10^-2
1.3x10^-4
0.5x10^3

Answers

Answer:

It's 0.5x10^3

Step-by-step explanation: A number in scientific notation has to be between 1 an 10. It can't be less than one or 10.

I think the answer would be 0.5x10^3

What is fo)?
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1, 2 and 12

Answers

9514 1404 393

Answer:

  f(0) = 12 . . . only

Step-by-step explanation:

We don't know your intended meaning of "fo)". If it is supposed to be f(0), that is the value of the function at x=0, in other words, the y-intercept.

The graph of f(x) crosses the y-axis at y=12, so ...

  f(0) = 12

Answer: 4,12

Step-by-step explanation: Gimme points  I counted the lines where the f(x) is located at then found 4 same for y ( I started with X then Y)

Which relation represents a function? {(0, 3), (2, 4), (0, 6)} {( - 7, 5), ( - 7, 1) ( - 10, 3), ( - 4, 3)} {( 2,0), (6, 2), (2, -2)} {( - 6, 5), ( - 3, 2), (1, 2), (6, 5)}

Answers

Answer:

is it none of the above

Step-by-step explanation:

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