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3 years ago

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Factor - 1/6 out of - 1/3x + 5/6y

1 answer:

Gemiola [76]3 years ago

7 0

$\bf -\cfrac{1}{3}x\div -\cfrac{1}{6}\implies -\cfrac{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}x\div -\cfrac{\stackrel{2}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{1}\implies 2 \\\\\\ \cfrac{5}{6}y\div -\cfrac{1}{6}\implies \cfrac{5}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}y\div -\cfrac{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies -5y \\\\[-0.35em] ~\dotfill$

$\bf -\cfrac{1}{3}x+\cfrac{5}{6}y\qquad \implies \qquad -\cfrac{1}{6}\left( 2x-5y \right)$

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What is the answer to 3/7w-11=4/7w

sladkih [1.3K]

For this equation first you should add +11 on both sides and the add -4/7w so you will have:
3/7w- 4/7w = 11 ⇒ -1/7w = 11 ⇒ w = 11* -7 = -77 so the answer is:
w = -77 :)))
i hope tis is helpful
have a nice day

6 0

3 years ago

the weight M of an object on Mars varies directly as it’s weight E on Earth. A person who weighs 95 lb on Earth weighs 38 lb on

lorasvet [3.4K]

Answer:

A 100 lb person will weight 40 lb on Mars

Step-by-step explanation:

Given:

Weight on Mars directly varies as its weight on earth.

Let weight on Mars be = $M$

Let weight on Earth be = $E$

Its known that:

$M$ ∝ $E$

Thus

$M=kE$

where $k$ is constant of proportionality.

when $E=95\ lb$ , then $M=38\ lb$

thus, we have

$38=k(95)$

dividing both sides by 95.

$\frac{38}{95}=\frac{k(95)}{95}$

∴ $k=\frac{38}{95}$

Thus when $E= 100$ , $M$ would be calculated as

$M=\frac{38}{95}\times 100$

$M=\frac{3800}{95}$

∴ $M=40\ lb$ (Answer)

∴ A 100 lb person will weight 40 lb on Mars.

8 0

3 years ago

In each of the following pairs of numbers, how much larger is the first number than the second?

lapo4ka [179]

Answer: a. 154 is larger than 27 by 127.

b. 25 is larger than 12 by 13.

c.135 is larger than 127 by 8.

d.46 is larger than 24 by 22.

Step-by-step explanation:

Subtract second number from the first number.

a. 154 and 27

Difference= $154-27=127$

Hence, 154 is larger than 27 by 127.

b. 25 and 12

Difference= $25-12=13$

Hence, 25 is larger than 12 by 13.

c. 135 and 127

Difference= $135-127=8$

Hence, 135 is larger than 127 by 8.

d. 46 and 24

Difference= $46-24=22$

Hence, 46 is larger than 24 by 22.

4 0

3 years ago

Read 2 more answers

Given the equation, what is the center and radius of the circle? <br> (X-2) ^2+ (Y+11)^2=100

LekaFEV [45]

Answer:

Center: (2, -11)

Radius: 10

Step-by-step explanation:

(x - 2)² + (y + 11)² = 100

(x - h)² + (y - k)² = r²

-------------------------------

x - 2 = 0

+2 +2

x = 2

------------

y + 11 = 0

-11 -11

y = -11

------------------------------

r² = 100

r = √100

r = 10

----------------------------

Center: (h, k)

Radius: r

-------------------------------

Center: (2, -11)

Radius: 10

I hope this helps!

3 0

2 years ago

Read 2 more answers

Add. -85.53+(-41.00) <br><br> A. -126.53<br> B. -44.47<br> C. 44.53<br> D. 126.47

Rashid [163]

The correct answer is A

7 0

3 years ago