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TEA [102]
2 years ago
11

You can paint a room in 8 hours. Working together, you and a friend could paint the same room in just 5 hours. How long would it

take your friend to paint the room alone.
Mathematics
1 answer:
Degger [83]2 years ago
5 0

Answer:

friend alone could do it in 13 hours and 1/3

Step-by-step explanation:

Your rate = room/8

friends rate = room/x

combined rate = room/8 + room/x

= room(x+8)/(8x)

then

5 = room / [room(x+8)/(8x)]

5 = 8x/(x+8)

8x = 5x + 40

3x = 40

x = 40/3 = 13 1/3

friend alone could do it in 13 hours and 1/3

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Leonard and Liam each own a collection of vintage cars. Leonard has 7 cars more than Liam has. Three times the number of cars Le
dimulka [17.4K]

Answer: The answer is (22, 15).

Step-by-step explanation:  Given that 'x' represents the number of cars Leonard has and 'y' represents the number of cars Liam has.

Then, according to the given information, we have

x-y=7,\\\\3x+2y=96.

Multiplying the first equation by 2 and adding to the second equation, we have

2x+3x=14+96\\\\\Rightarrow 5x=110\\\\\Rightarrow x=22.

So,

y=x-7=22-7=15.

Therefore, Leonard has 22 cars and Liam has 15 cars.

Thus, (22, 15) is the solution to the given system.

5 0
3 years ago
Read 2 more answers
Faiza, Krish and Joe start cycling around the park from the same point at the same time. Faiza circles the park in 60 seconds, K
pishuonlain [190]

Answer:

The time at which they will all meet at a place together is 350 minutes

Step-by-step explanation:

The time it takes Faiza to cycle the park = 60 seconds

The time it takes Krish to cycle the park = 14 seconds

The time it takes Joe to cycle the park = 25 seconds

Therefore, the time they will all meet at a place together is given by their Lowest Common Multiple as follows;

LCM = 60 × 14 × 25 = 21,000 seconds

Therefore, the time at which they will all meet at a place together in minutes = 21000 seconds/(60)×minute/second = 350 minutes

7 0
2 years ago
A rectangular garden has a width that is 10 feet shorter than the length. Write and simplify an expression to represent the area
morpeh [17]

Answer:

x²-10x=area

Step-by-step explanation:

Area= length×width

Length: x

Width: x-10

Area= x(x-10)= x²-10x

I hope this helps...

:)

6 0
3 years ago
Pls need help, will give brianlist
Firdavs [7]

Answer:

1) Your slope should be 1/5

2) Your slope should be \frac{-3}{2}

3) Your slope should be 1/2

I hope this helps! : )

5 0
2 years ago
Find the equivalent exponential expression. [(-4)^5]^3
Sunny_sXe [5.5K]

Answer:

-4^{15}

Step-by-step explanation:

Given expression:

\left[(-4)^5\right]^3

\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:

\implies (-4)^{(5 \times 3)}

\implies (-4)^{15}

\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:

\implies -4^{15}

4 0
1 year ago
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