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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

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Human hair grows at the average rate of 1/3 inch per month. Sara wants her hair to grow 4 2/3 inches longer. About how many mont
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Answer:

14 months

Step-by-step explanation:

1/3 x 12 = 4.

1/3 x 2 = 2/3.

12 + 2 = 14.

It will take her 14 months.

Hope this helps! :)

6 0
2 years ago
Members of the swim team want to wash their hair. The bathroom has less than 5600 liters of water and at most 2.5 liters of sham
nordsb [41]

Answer:

Yes, the bathroom has enough water and shampoo for all of them.

Step-by-step explanation:

70L+ 60S < 5600

Putting 8 into L and 7 into S, gives:

70(8) + 60(7) = 560 + 420 = 980

That is definitely less than 5600, so water is OK.

Now,

0.02L + 0.01S

Putting 8 into L and 7 into S, gives:

0.02(8) + 0.01(7) = 0.16 + 0.07 = 0.23

That's definitely less than 2.5 liters, so shampoo is OK as well.

Hence, bathroom has enough water and shampoo for them.

7 0
3 years ago
Read 2 more answers
Will someone explain what i did wrong here?
tensa zangetsu [6.8K]

The actual inverse function is:

f^{-1}(x) = x^2 + 3

And the domain is [0, ∞).

<h3>Where is the mistake?</h3>

Remember that for a given function f(x) with a domain D and a range R.

For the inverse function, f⁻¹(x) the domain is R and the range is D.

Here, for the given function the domain is x ≥ 3 and the range is [0, ∞).

Then for the inverse function, which is:

f^{-1}(x) = x^2 + 3

(to check this, you must have that):

f^{-1}(f(x)) = x\\\\f(f^{-1}(x)) = x

The domain will be [0, ∞) and the range x ≥ 3

If you want to learn more about inverse functions:

brainly.com/question/14391067

#SPJ1

7 0
1 year ago
The school paper charges $1.50 for an ad, plus 25 cents per word. Carl wants to spend only $12.00 on the ad.
statuscvo [17]

Answer:

42 words

Step-by-step explanation:

To solve just solve 0.25x +1.50 = 12.00 for x

7 0
3 years ago
Read 2 more answers
How to simplify (-12)-7×(-12)7
Strike441 [17]
(-12)1 because of how you break it down
3 0
3 years ago
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