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Sav [38]
3 years ago
7

The quotient of a secret number and 4 is 9

Mathematics
1 answer:
Anna [14]3 years ago
4 0
Let's call the 'secret number' <em>x</em>.

A quotient is basically a Dividend/Divisor. If the Divisor is 4, we need to find the dividend, which is <em>x</em>.

<em />Therefore:
<em>x/4=9
</em><em />We need to isolate the variable by the multiplication property of equality.
<em>x=36</em>.

As a result, the "secret number" is 36
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A plane flew 525 miles in 1.75 hours. Find the average speed of the plane.
ale4655 [162]

We are trying to find the average speed of the plane, which is mph, or \dfrac{\textrm{miles}}{\textrm{hour}}. Using proportions, we can find the average speed of the plane in mph:

\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}

  • Use the information from the problem to create a proportion. Remember that we are looking for mph, so we will call that x.

\dfrac{525}{1.75} \,\textrm{miles} = x \,\textrm{miles}

  • Multiply the entire equation by 1 \,\textrm{hour}

\dfrac{525}{1.75} = 300 = x

  • Divide both sides of the equation by 1 \,\textrm{mile} to clear both sides of the mile unit

The average speed of the plane is 300 mph.

6 0
4 years ago
Is 32,643 divisible by both 3 and 9?
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32,643/3=10,881      YES IT IS DIVISIBLE
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Find the sum and express it in simplest form (6u-7c-6)+(-2u+4c)
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4u+3c-6 is thats what its asking for? just puting the same variables together
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3. (x2 + 17x + 63) ÷ (x + 8) =
Stolb23 [73]

3(2x + 17x + 63) \div (8 + x) \\ 6x + 51 + 189 \div 8x
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51 + 189 \div 48x \\ 240 \div 48x \\ 5x
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3 0
3 years ago
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