1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dolphi86 [110]
3 years ago
9

Two cars start at the same point and travel in opposite directions. The first car travels 15 miles per hour faster than the seco

nd 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.
Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

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

∴ \frac{8r}{8}=\frac{240}{8}

∴ r = 30

∴ The rate of the second car is 30 miles/hour

You might be interested in
Graph a parabola whose vertex is at (3,5)(3,5)left parenthesis, 3, comma, 5, right parenthesis with yyy-intercept at y=1y=1y, eq
Rudik [331]

Using the given information we found that the equation of the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

<h3>How to get the equation of the parabola?</h3>

For a parabola with vertex (h, k), the equation is:

y = a*(x - h)^2 + k

Here the vertex is (3, 5), so the equation is:

y = a*(x - 3)^2 + 5

And the y-intercept is y = 1, this means that:

1 = a*(0 - 3)^2 + 5

1 = a*9 + 5

1 - 5 = a*9

-4/9 = a

So the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

If you want to learn more about parabolas, you can read:

brainly.com/question/1480401

4 0
2 years ago
Write a polynomial function f of least degree that has a leading coefficient of 1 and given zeros 3, 2
kirill [66]
010101102837
01010110012
8 0
2 years ago
What is a real world example of a ratio?
almond37 [142]

Answer:


Step-by-step explanation:

You could use the scores of a football game: 13:22 points

Or how many boys and girls are in your class: There are 12 girls to 13 boys, 12:13 or 12/13

Or you could say how many dogs and cats there are in an animal shelter: There are 11 dogs to 24 cats, 11:24, 11 dogs/24 cats

3 0
3 years ago
Read 2 more answers
Suppose you set up a function to show how many hot dogs you will purchase for a dinner when you have already bought two packages
bezimeni [28]

The domain of the function is:

h > 0, only integers.

Then the correct option is the first one.

<h3>What is the domain of the given function?</h3>

For a function f(x), we define the domain as the set of the possible values of x that we can use as inputs in the given function.

Here the function is:

f(h) = 6*h + 12

Where h is the number of packages that you buy.

Then h can be only integers larger than zero (as you can't buy half a package or something like that).

Then we conclude that the correct option is the first option.

If you want to learn more about domains, you can read:

brainly.com/question/1770447

#SPJ1

6 0
1 year ago
Estimate the sum of 604 and 235 by rounding both values to the nearest hundred. What is the best estimate of the sum?
Keith_Richards [23]
Well you would round 604 to 600 and 235 to 200 so the answer is 800
5 0
3 years ago
Read 2 more answers
Other questions:
  • HELP ME PLEASE WITH THIS
    6·1 answer
  • M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?
    11·2 answers
  • If 10x+2=7 what us 2x
    13·1 answer
  • the 600 students at king middle school are divided into three groups of equal size for lunch. Each group has lunch at a differen
    8·1 answer
  • What is the volume of the right?
    8·1 answer
  • Renee Hiked for 4 3/4 miles. After resting, Renee hiked back along the same route for 3 1/4 miles. How many more miles does Rene
    11·1 answer
  • 8 times (4+5+7) evalute
    13·2 answers
  • PLEASE HELP URGENT multiple choice algebra question:
    15·1 answer
  • What is the slope of the line that passes through the points given in the table? ANSWER IN DECIMAL FORM
    13·1 answer
  • 1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!