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Akimi4 [234]
3 years ago
6

Doug can paint the living room in 4 hours. it would take elaine 6 hours to paint the same room. how long would it take doug and

elaine, working together, to paint the living room?
Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0
2.4 hours

You can get this by setting up the equation:

x/4 + x/6 = 1

Where x is equal to the amount of hours spent working. In this equation x/4 would be Doug. In 4 hours he would paint on room. x/6 would be Elaine. When you add them together using common denominators, you can find x. 
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erik [133]
24 miles is 1 gallon so 360 miles is 15 gallons + 24 is 384 miles so they are not equivalent!
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2 years ago
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What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8
KengaRu [80]

Answer:

Formula for the Arc length is given by:

\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}

As per the statement:

radius of circle(r) = 6 units

Angle (\theta) = \frac{7 \pi}{8} radian

Use conversion:

1 rad = \frac{180}{\pi}

\frac{7 \pi}{8} = \frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}

then;

substitute these given values we have;

Use value of \pi = 3.14

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}

or

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375

Simplify:

\text{Arc length}=16.485

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

7 0
3 years ago
RSM QUESTION NEED HELP!!!!!! A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must h
Luden [163]

Answer:

40 grams of 13% alcohol solution and 10 grams of 18% alcohol solution.

Step-by-step explanation:

13%(x) + 18%(50-x) = 14%*50g   Multiply them all

0.13x + (9-0.18x) = 7

0.13x-0.18x + 9 = 7   Simplify the equation and subtract 0.13x from 0.18x

9-0.05x = 7   Add 0.05x to each side

9 = 7+0.05x   Subtract 7 from both sides

0.05x = 2   Multiply each side by 100

5x = 200   Divide both sides by 5

x = 40

50 - 40 = 10

40 grams and 10 grams

Your welcome

4 0
3 years ago
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Pls help?!?!? With this
zhenek [66]

Answer:

7 buses. 52÷ 8 = 6.5 so rounding up to 7

4 0
3 years ago
A bike wheel has a radius of 12 inches. How far will someone travel in 500 rotations? About how far is this in feet? Round to th
Lorico [155]

Answer:

3142 feet

Step-by-step explanation:

first, find the circumference of the wheel.

approx 75.4

every one rotation you travel approximately 75.4 inches

75.4 x 500 =37,700

37,700/12 = feet traveled

3141.6... feet

rounded = 3142

8 0
3 years ago
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