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3 years ago

Which shows 63 factored into powers of prime numbers? A. 9 • 7 B. 32 • 7 C. 33 • 7 D. 3 • 3 • 7

Mathematics

2 answers:

Anton [14]3 years ago

8 0

The right answer is D

s2008m [1.1K]3 years ago

6 0

Hi!

<h3>To find the prime factorization of a number, keep dividing by the smallest factor that goes into it. </h3>

63/3 = 21

21/3 = 7

7/7 = 1

<h2>The answer is D. 3 · 3 · 7 </h2>

Hope this helps! :)

-Peredhel

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John paid $222 for four hours of skiing and two hours boating. He paid $213 for two hours skiing and three hours boating. What i

Inga [223]

Answer:

Skiing costs $30 per hour and Boating costs $51 per hour.

Step-by-step explanation:

Let cost per hour of skiing be x and cost per hour of boating be y. Let's dissect the problem into 2 simultaneous equations.

<em><u>"John paid $222 for four hours of skiing and two hours boating":</u></em>

$4x+2y=222$

<em><u>"He paid $213 for two hours skiing and three hours boating":</u></em>

$2x+3y=213$

<em>Now, if we solve for x in the 2nd equation and plug it in the 1st equation, we will have the value for y</em>. Work shown below.

$2x+3y=213\\2x=213-3y\\x=\frac{213-3y}{2}\\Equation 1: 4x+2y=222\\Substituting :\\4(\frac{213-3y}{2})+2y=222\\2(213-3y)+2y=222\\426-6y+2y=222\\426-222=6y-2y\\204=4y\\y=\frac{204}{4}=51$

Hence, y = 51

<em>Now, substituting this y value into the 1st equation and solving for x will give us the value of x.</em>

$First Equation: 4x+2y=222\\4x+2(51)=222\\4x+102=222\\4x=222-102\\4x=120\\x=\frac{120}{4}=30$

Hence, skiing costs $30 per hour and boating costs $51 per hour.

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3 years ago

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Mademuasel [1]

Answer:

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3 years ago

Shawna reduced the size of a rectangle to a height of a rectangle to a height of 2 in. what is the new width if it was originall

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3 years ago

Read 2 more answers

2x+3y 26<br> 3x +2y 6<br> Any solutions

Iteru [2.4K]

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3 years ago

Solve -7x^2+x+9=-6x quadratic formula

myrzilka [38]

Answer:

$-7x^2+x+9=-6x$

$-7x^2+x+9+6x=-6x+6x$

$-7x^2+7x+9=0$

$quadratic\: formula$

$x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\left(-7\right)\cdot \:9}}{2\left(-7\right)}$

$\sqrt{-7^{2} -4(-7)\times9} =\sqrt{301}$

$x_{1,\:2}=\frac{-7\pm \sqrt{301}}{2\left(-7\right)}$

$\frac{-7+\sqrt{301}}{2\left(-7\right)}$

$=\frac{-7+\sqrt{301}}{-2\cdot \:7}$

$=\frac{-7+\sqrt{301}}{-14}$

$\frac{-7-\sqrt{301}}{2\left(-7\right)}$

$=\frac{-7-\sqrt{301}}{-2\cdot \:7}$

$=\frac{-7-\sqrt{301}}{-14}$

$answer=\frac{7+\sqrt{301}}{14}$

$OAmalOHopeO$

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3 years ago