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
lara31 [8.8K]
3 years ago
10

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The volleyball team

and the wrestling team at Newberry High School are having a joint car wash today, and they are splitting the revenues. The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. The wrestling team has raised $84 in the past, and they are making $1 per car today. After washing a certain number of cars together, each team will have raised the same amount in total. What will that total be? How many cars will that take?
Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Answer: After washing 20 cars together, each team will have raised the same amount in total.

Step-by-step explanation:

Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.

The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be

4x + 24

The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be

x + 84

For both amounts to be equal, the number of cars would be

4x + 24 = x + 84

4x - x = 84 - 24

3x = 60

x = 60/3

x = 20

You might be interested in
An open rectangular box with square base has a volume of 256 cubic inches. determine the equation for the volume and surface are
Serjik [45]
Let
b-----------> the length side of the square box
h------------> the height of the box
SA---------> surface area of the box

we know that
[volume of the box]=b²*h
volume=256 in³
b²*h=256-------> h=256/b²-----> equation 1

surface area of the box=area of the base+perimeter of base*height

area of the base=b²
perimeter of the base=4*b

surface area=b²+(4*b)*h------> SA=b²+4*b*h-----> equation 2

substitute equation 1 in equation 2
SA=b²+4*b*[256/b²]-----> SA=b²+1024/b-----> SA=(b³+1024)/b

the answer is

the formula of the volume of the box is  V=b²*h-----> 256=b²*h

the formula of the surface area of the box are
SA=b²+4*b*h
SA=(b³+1024)/b
4 0
3 years ago
A group of 4 people go out to eat. They split the bill so that each person pays 1/4 of the total price appetizers is $6 main dis
postnew [5]

Answer:

(6 + 9) / 4

Step-by-step explanation: you have to add the costs of the appetizers and the main dish ( 6 + 9 ). then you have to divide the sum by 4 since there are 4 people in total ( /4 ).

3 0
3 years ago
you are riding your bike and notice the square sign above. You mentally draw a straight line from point A to C. Describe the ang
inysia [295]

Answer:

They are both equal obtuse angles


7 0
3 years ago
Equation?
GarryVolchara [31]
25-5x=5(-x+5)
25-5x=-5x+25
-5x+5x= 25-25
0=0

So the answer will be A: there is no solution
3 0
3 years ago
Integrate this two questions ​
tankabanditka [31]

Simplify the integrands by polynomial division.

\dfrac{t^2}{1 - 3t} = -\dfrac19 \left(3t + 1 - \dfrac1{1 - 3t}\right)

\dfrac t{1 + 4t} = \dfrac14 \left(1 - \dfrac1{1 + 4t}\right)

Now computing the integrals is trivial.

5.

\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}

where we use the power rule,

\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)

and a substitution to integrate the last term,

\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)

8.

\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}

using the same approach as above.

5 0
2 years ago
Other questions:
  • 25POINTS!!!
    7·1 answer
  • A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 lower than in the first.
    5·1 answer
  • john goes out to eat at a local restaurant the bill comes to $47.38 john wants to leave a 20% tip how much of a tip should he le
    12·1 answer
  • 0.007 0.07 0.7 7 what’s next
    5·1 answer
  • Part B if u want part A too
    11·1 answer
  • The table shows the number of bases stolen by a baseball player during several games over a season. A 2-column table with 5 rows
    13·2 answers
  • How do I solve this ?
    7·2 answers
  • Help really important
    9·1 answer
  • Given f(x)=-3x+7 and g(x)=2x2 - 8, find g(f(x)).
    6·1 answer
  • What is 47 minutes before 6:57
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!