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vredina [299]
3 years ago
14

The first painter can finish a paint job in 2 hours. The second painter can finish the same job in 8 hours. How long would it ta

ke them to finish the job if they were working together?

Mathematics
1 answer:
vampirchik [111]3 years ago
8 0

Answer: 1\frac{3}{5} hrs

<u>Step-by-step explanation:</u>

1st painter:  \frac{1}{2}

2nd painter: \frac{1}{8}

1st + 2nd = Together

\frac{1}{2} + \frac{1}{8} = \frac{1}{x}

\frac{1}{2}(8x) + \frac{1}{8}(8x) = \frac{1}{x}(8x)

4x + x = 8

5x = 8

 x = \frac{8}{5}

    = 1\frac{3}{5}

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X and y are in direct proportion, when x is 8, y is 12. Which of the following is not a
Nat2105 [25]

Answer:

d.

Step-by-step explanation:

if x varies directly as y,

x = ky

8 = 12k

12k = 8

k = 8/ 12

k = 2/3,

x = 2/3 y

now substitute the value of any of the numbers of each pair, and check if it works:

for e.g, find x when y = 15

x = 2/3y

x = 2/3 × 15

x = 10

since you obtain x = 10 when y = 15, the pair is a possible corresponding value of x and y. now do the same for the rest .

ii) x = 2/3y

x = 2/3 × 3, when y = 3

x = 2

hence, this is also a possible pair of x and y values.

iii) x = 2/3y

x = 2/3 × 9 when y = 9

x = 6

again, a possible pair of x and y values.

iv) x = 2/3y

x = 2/3 × 20 when y = 20

x = 40/3

here, when y = 20, x is not 15. it is 40/3.

thus, it can be determined that this is not a possible pair of x and y values.

please try to understand and have a great day!

8 0
2 years ago
what is the smallest number to be subtracted from 9610,so that the remainder will be a perfect square​
Romashka-Z-Leto [24]

Answer:

Hello,

Answer 6

Step-by-step explanation:

\sqrt{9610} =98,03060...\\\\ENT(\sqrt{9610})=98\\\\9610-98^2=9610-9604=6\\\\

The smallest number to be susbtracted is 6

4 0
2 years ago
How to solve this help pls
Valentin [98]

Answer:

2x^{2} +\frac{7}{x}

Step-by-step explanation:

divide each by x

7 0
2 years ago
Answers for question 17 and 18?
Tom [10]

Answer: think the answers near tenth

6 0
3 years ago
The vertex of -5(x+2)^2-6
4vir4ik [10]

Answer:

(0,6).  

Step-by-step explanation:

Consider the standardised form of y=ax2+bx+c. Written as y=a(x2+bax)+c. xvertex=(−12)×ba → (−12)×0−1=0.

Mark me brainliest

7 0
2 years ago
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