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
mixer [17]
3 years ago
10

A couch and coffee table cost a total of $1080. The cost of the couch is two times the cost of the coffee table. Find the cost o

f each time.
Mathematics
1 answer:
Alborosie3 years ago
3 0

Answer:

$720

$360

Step-by-step explanation:

Let the cost of couch be A and that of coffee table be B

Given couch and coffee table cost $1080

That’s

A + B = $1080

Also, the cost of couch A is 2 times the cost of coffeee table B.

That’s

A = 2B

We now have two equations

A + B = 1080

A = 2B

Now ,substitute 2B for A in the first equation .

We have

A + B = 1080

2B + B = 1080

3B = 1080

Divide both sides by 3

3B/3 = 1080/3

B = 360

The coffee table cost $360

Remember A = 2B

Therefore

A = 2 x $360

A = $720

The couch cost $720 while the coffee table cost $360

You might be interested in
Hank has to drain his pool so repairs can be done on a crack on the bottom. The company coming to fix the pool is scheduled to a
Alik [6]

Answer:

The answer to the question: "Will Hank have the pool drained in time?" is:

  • <u>Yes, Hank will have the pool drained in time</u>.

Step-by-step explanation:

To identify the time Hank needs to drain the pool, we can begin with the time Hank has from 8:00 AM to 2:00 PM in minutes:

  • Available time = 6 hours * 60 minutes / 1 hour (we cancel the unit "hour")
  • Available time =  360 minutes

Now we know Hank has 360 minutes to drain the pool, we're gonna calculate the volume of the pool with the given measurements and the next equation:

  • Volume of the pool = Deep * Long * Wide
  • Volume of the pool = 2 m * 10 m * 8 m
  • Volume of the pool = 160 m^3

Since the drain rate is in gallons, we must convert the obtained volume to gallons too, we must know that:

  • 1 m^3 = 264.172 gal

Now, we use a rule of three:

If:

  • 1 m^3 ⇒ 264.172 gal
  • 160 m^3 ⇒ x

And we calculate:

  • x = \frac{160 m^{3}*264.172 gal }{1m^{3} } (We cancel the unit "m^3)
  • x = 42267.52 gal

At last, we must identify how much time take to drain the pool with a volume of 42267.52 gallons if the drain rate is 130 gal/min:

  • Time to drain the pool =\frac{42267.52gal}{130\frac{gal}{min} }(We cancel the unit "gallon")
  • Time to drain the pool = 325.1347692 minutes
  • <u>Time to drain the pool ≅ 326 minutes</u> (I approximate to the next number because I want to assure the pool is drained in that time)

As we know, <u><em>Hank has 360 minutes to drain the pool and how it would be drained in 326 minutes approximately, we know Hank will have the pool drained in time and will have and additional 34 minutes</em></u>.

7 0
3 years ago
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
Alborosie

Answer:

18

Step-by-step explanation:

1,017.36 is the area of the circle and you need to find the radius

area formula : 3.14rsquared

so the formula you are going to solve for your answer is 3.14rsquared=1,017.36

divide by 3.14

rsquared = 324

un square it to get you radius which is 18

you didnt clarify whether you wanted radisu or diameter so ill give both

R: 18

D:36

7 0
3 years ago
Read 2 more answers
13 points pls help me quick
ValentinkaMS [17]

Answer:

Right Angles: C, F

Obtuse Angles: E, B

Acute Angles: A, D

Step-by-step explanation:

Right Angles are angles that are exactly 90 degrees.

Obtuse Angles are angles that are bigger than 90 degrees.

Acute Angles are angles that are smaller than 90 degrees.

5 0
3 years ago
Read 2 more answers
PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE Please help please
umka21 [38]
The correct answer is:  "(-1, -2)" .
________________________________________
Note:  By examining the point of intersection of the lines of the 2 graphs show in the "image attached", we can see that the point of intersection is at:  "(-1, 2");  that is:  "x = -1, y = 2" .
________________________________________
3 0
3 years ago
Read 2 more answers
PLEASE HELP ME ASAP ?!? :(
kherson [118]

Answer:

141 but i am prolly wrong

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • Can anyone please explain this to me??
    13·1 answer
  • Which represents the solution(s) of the system of equations, y + 4 = x2 and y-x=2? Determine the solution set by
    15·1 answer
  • Find the volume of this cylinder r=15 and h=7
    7·2 answers
  • What is perpendicular to -96/17
    6·1 answer
  • Hellpppppppppppppppp
    7·1 answer
  • What is the slope of the line that passes through the points (-2, 6) and (4, - 2)?
    10·2 answers
  • Do not kill you self chloe pls
    14·2 answers
  • How can you find the slope of a line from a table of values of the line?
    6·1 answer
  • The side lengths of a rectangle are described as (2x−3) inches and (5x+7) inches.
    14·1 answer
  • Prepare a grid with magic number 30. You can choose any set of numbers in sequence but the numbers should not be repeated.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!