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saw5 [17]
3 years ago
9

David can finish painting the room in 6 hours, and his elder brother Antony can finish it in 4 hours. If both brothers paint the

room together, how many hours will it take them?
Mathematics
1 answer:
erica [24]3 years ago
7 0

Answer:

Step-by-step explanation:

1/6+1/4=5/12

5/12 of the job is done in 1 hour

so

5/12+5/12= 10/12

so 10/12 of the job is done in 2 hours

and then simplify 5/6 so then add 1/6

so it is done in 2 hours and 24 minutes

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If each 4 in. on the scale drawing below equals 5 feet, what is the actual area of the shape in square units?
tino4ka555 [31]

Answer:

200

i just know its 200 no explanation

6 0
3 years ago
Serena simplify the expression 3 (2x - 6 - x + 1 )^2 - 2 + 4x in step 1 she simplified within the parentheses in step 2 she expa
xz_007 [3.2K]

Answer:

For step three she could multiply the two parenthesis against each other to get 3(x² - 10x + 25) - 2 + 4x

Step-by-step explanation:

step 1: 3(x - 5)² - 2 + 4x

step 2: 3(x - 5)(x - 5) - 2 + 4x

For step three she could multiply the two parenthesis against each other to get 3(x² - 10x + 25) - 2 + 4x

4 0
3 years ago
The first triangle is dilated to form the second triangle. What id the scale factor?
Slav-nsk [51]

Answer:

0.5

Step-by-step explanation:

10/5=0.5, or one half.

7 0
2 years ago
The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.1 in/s. At
kow [346]

Given:

\dfrac{dr}{dt}=1.4\text{ in/s}

\dfrac{dh}{dt}=-2.1\text{ in/s}

To find:

The rate of change in volume at r=120\text{ in. and }175\text{ in.}

Solution:

We know that, volume of a cone is

V=\dfrac{1}{3}\pi r^2h

Differentiate with respect to t.

\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]

Substitute the given values.

\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]

\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]

\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560

\dfrac{dV}{dt}=29920

Therefore, the volume of decreased by 29920 cubic inches per second.

6 0
3 years ago
Round 0.7282 to fourth decimal place
Natalka [10]

Answer:

that is the fourth decimal place.

7 0
3 years ago
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