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3 years ago

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1) A bathtub originally contains 6 gallons of water. A faucet is turned on and continues to fill the tub at a rate of 2 gallons

per minute.Write an equation to represent the number of gallons of water after ‘x' minutes after the faucet has been turned on?

1 answer:

Andrei [34K]3 years ago

3 0

Step-by-step explanation:

hojjn hyhb6h j. huik jijk

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Janna spends 1.25 hours of her 8 hour work day answering email messages. What percentage of the work day is this time

dusya [7]

1.25 divided by 8 =0.15635×100=15.6% or round up to 16%

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3 years ago

Is 26,341 divisible by 3?

shepuryov [24]

No. 26,341 is not evenly divisible by 3 .

Here's the trick you can use to decide this
just by looking at a big number:

==> If a number is divisible by 3, then the
sum of its digits is divisible by 3.

I've never taken the trouble to figure out why this works,
but it does work. I didn't make it up. It's widely known.

So let's look at 26,341 .

The sum of the digits is (2 + 6 + 3 + 4 + 1) = 16 .

16 is not divisible by 3 , so 26,341 is not divisible by 3 .

Is that cool or what !

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3 years ago

Read 2 more answers

Which expression represents this word phrase? eight less than the quotient of x and 3 x−83 8−x3 x3−8 3x−8

lozanna [386]

Quotient is basically the answer produced when dividing two numbers.

For example, the quotient of 6 and 3 is 2 because when I divide 6 by 3, I get 2.

Eight less than the quotient of x and 3 = $\frac{x}{3} - 8$

3 0

3 years ago

Read 2 more answers

Prove the divisibility:<br><br>45^45·15^15 by 75^30

garri49 [273]

Answer:

$3^{75}$ .

Step-by-step explanation:

We have been an division problem: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(9*5)^{45}=9^{45}*5^{45}$

$15^{15}=(3*5)^{15}=3^{15}*5^{15}$

$75^{30}=(15*5)^{30}=15^{30}*5^{30}$

Substituting these values in our division problem we will get,

$\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}$

$\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}$

$\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}$

Using power rule of exponents $a^n*a^m=a^{n+m}$ we will get,

$\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}$

$\frac{3^{105}*5^{60}}{3^{30}*5^{60}}$

$\frac{3^{105}}{3^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{105}}{3^{30}}=3^{105-30}$

$3^{105-30}=3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

7 0

3 years ago

1/4 +1/3 divided by4/5

ad-work [718]

Answer:

2/3

Step-by-step explanation:

Do 1/3 divided by 4/5 first.

So we are going to flip 4/5 to 5/4. The equation is now:

1/4+1/3 times 5/4

Now we are going to do the multiplication since multiply and division is before adding and subtraction.

1/3 times 5/4 = 5/12

Now we have to add 1/4+5/12

With adding ( and subtracting) we have to find the common denominator which is 12

So now we have 3/12 + 5/12 = 8/12 which reduces to 2/3

7 0

3 years ago