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3 years ago

What is the GCF of x^6 and x^5

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

5 0

Hi im Aleida and go to calculatorsoup on Safari or google and put gcf calculatorsoup hope this helps

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3x + 5y = 7 -3x - 2y = -1

Oksanka [162]

Answer:

(-1,2) y=2 x=-1

Step-by-step explanation:

This is a system of equations and in this you see there is 3x and negative three x. To solve this you need tp get rid of one of the variables. so we can add the two equations together to get 3y=6. This means that y=2 if we divide by 3 on both sides. Then we just plug 3 in for y and we get 3x+10=7. We subtract 10 on both sides to get 2x=-3 which means x=-1.

6 0

3 years ago

If a fire is burning a building and it takes 2 hours to put it out using 2000 gal./min., what minimum diameter cylindrical tank

strojnjashka [21]

Answer:

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water ( $Q$ ), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

$Q = \dot Q \cdot \Delta t$ (1)

Where:

$\dot Q$ - Volume rate, measured in feet per minute.

$\Delta t$ - Time, measured in minutes.

If we know that $\dot Q = 2000\,\frac{gal}{min}$ and $\Delta t = 120\,min$ , then the amount of water is:

$Q = \left(2000\,\frac{gal}{min} \right)\cdot (120\,min) \cdot \left(0.134\,\frac{ft^{3}}{gal} \right)$

$Q = 32160\,ft^{3}$

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

$Q = \frac{\pi}{4}\cdot D^{2}\cdot h$ (2)

Where:

$D$ - Diameter, measured in feet.

$h$ - Height, measured in feet.

If we know that $Q = 32160\,ft^{3}$ and $h = 12\,ft$ , then the minimum diameter is:

$D^{2} = \frac{4\cdot Q}{\pi\cdot h}$

$D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }$

$D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }$

$D \approx 58.415\,ft$

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

8 0

3 years ago

In our family there is five boys and one girl. What percent of the family is boys?

saw5 [17]

Answer:

83% are boys

Step-by-step explanation:

Im not sure if you have to round but you take the total number of family members (6) and divide it by how many boys (5) which would be 0.8333333 which you can round to either 80 or 83

8 0

3 years ago

It cost $5000 to feed

Mariulka [41]

Answer:

Okays so for 100 guests we can make the equation $5000 ÷ 100 = $50.00

For 100 guests at the wedding it would cost $50.00 per plate

For 45 guests we can make the equation $2750 ÷ 45 = $61.111111111111, it would be a repeating decimal

For 45 guests at the wedding, it would cost $61.111111111111

I hope that this can help you! ^‿^

5 0

3 years ago

Is Y=3x linear or non linear?

stealth61 [152]

Answer:

linear

Step-by-step explanation:

8 0

3 years ago