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muminat
3 years ago
5

It takes Destiny y 4 hours to file all the daily paperwork. It takes Susan 5 hours to file the same paperwork. If they work toge

ther, how long will it take them?
Mathematics
1 answer:
Marina86 [1]3 years ago
8 0

Answer: it will take them 2.22 hours working together.

Step-by-step explanation:

It takes Destiny y 4 hours to file all the daily paperwork. This means that unit rate of Destiny would be

1/4 per hour.

It takes Susan 5 hours to file the same paperwork. This means that unit rate of Susan would be

1/5 per hour.

If they work together, they would work at their own individual rates. This means that their individual rates are additive.

Let t represent the time it will take them if they worked together. Since their combined rate is additive Therefore,

1/4 + 1/5 = 1/t

9/20 = 1/t

t = 20/9 = 2.22 hours

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Three perfect cube blocks of different volumes were stacked on top of each other. The top block was 64 cubic centimeters, the mi
lesya [120]
We know that 

[volume of a cube]=b³---------> b=∛Volume
b------> is the side length of a cube

The top block was 64 cm³------> b1=∛64-------> b1=4 cm
The middle block was 125 cm³------> b2=∛125------> b2=<span>5 cm
T</span>he biggest block was 729 cm³------> b3=√729------> b3=<span>9 cm

[</span><span>the stack of blocks tall]=b1+b2+b3-------> 4+5+9-----> 18 cm
</span><span>
the answer is
</span>the stack of blocks was 18 cm tall<span>


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5 0
3 years ago
How do you simply -12x=12x into an x='s answer?
dedylja [7]

-12x = 12x

Start by moving all the terms with the variable you want to solve for on one side of the equation and the rest on the other side of the equation.

We will move 12x to the left side of the equation by subtracting 12x from both sides. Now your equation should look like:

-24x = 0

Isolate the variable x by dividing both sides by -24. Everything divided by 0 is equal to 0, so that means x will be equal to 0.

x = 0

Your answer is x = 0.

3 0
3 years ago
What is the volume of a cylinder, in cubic centimeters, with a height of 8 centimeters
Arisa [49]

Answer:

1608.5 cm³

Step-by-step explanation:

Use the cylinder volume formula, V = \pir²h

If the diameter is 16 cm, then the radius is 8 cm.

Plug in the radius and height into the formula, and solve:

V = \pir²h

V = \pi(8)²(8)

V = \pi(64)(8)

V = 1608.5

So, to the nearest tenth, the volume of the cylinder is 1608.5 cm³

6 0
2 years ago
Given parallelogram MNOP, MA = x + 5, AO = y + 2, PA = 3x and AN = 2y
erma4kov [3.2K]

Answer:

The values of x and y are x = 6 and y = 9

Step-by-step explanation:

MNOP is a parallelogram its diagonal MO and PN intersected at point A

In any parallelogram diagonals:

  • Bisect each other
  • Meet each other at their mid-point

In parallelogram MNOP

∵ MO and NP are its diagonal

∵ MO intersect NP at point A

- Point A is the mid-point pf them

∴ MO and NP bisect each other

∴ MA = AO

∴ PA = AN

∵ MA = x + 5

∵ AO = y + 2

- Equate them

∴ x + 5 = y + 2 ⇒ (1)

∵ PA = 3x

∵ AN = 2y

- Equate them

∴ 2y = 3x

- Divide both sides by 2

∴ y = 1.5x ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (1) by equation (2)

∴ x + 5 = 1.5x + 2

- Subtract 1.5x from both sides

∴ - 0.5x + 5 = 2

- Subtract 5 from both sides

∴ - 0.5x = -3

- Divide both sides by - 0.5

∴ x = 6

- Substitute the value of x in equation (2) to find y

∵ y = 1.5(6)

∴ y = 9

The values of x and y are x = 6 and y = 9

4 0
3 years ago
11. Sharon pays $98.75 for twenty-five
trasher [3.6K]

Answer:

$3.95

98.75 divided by 25

3 0
3 years ago
Read 2 more answers
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