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3 years ago

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There are three boxes and 12 balls. Exactly 3 of the balls are red. The first box fits three balls,the second four and the third

five. If we randomly put the balls into boxes, what is the probabilitythat all three red balls are put in the same box

1 answer:

exis [7]3 years ago

5 0

Answer:

1/36. 1/12 times 1/3 equals 1/36

Step-by-step explanation:

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Find the value of x. I WILL GIVE 100 POINTS ANSWER QUICK!

Liula [17]

Answer:0.714 not sure exactly if i need to simplify, mullitiply, or divide.

Step-by-step explanation:

6 0

3 years ago

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Solve the following equation x(x + 19) = -34

xxMikexx [17]

Hi there,

x(x + 19) = -34

I'm going to solve your equation step-by-step.<span><span>x<span>(<span>x + 19</span>) </span></span>= <span>−34

</span></span>Step 1: Simplify both sides of the equation.<span><span><span>x2 </span>+ <span>19x </span></span>= <span>−34

</span></span>Step 2: Subtract -34 from both sides.<span><span><span><span>x2 </span>+ <span>19x </span></span>− <span>(<span>−34</span>) </span></span>= <span><span>−34 </span>− <span>(<span>−34</span>)

</span></span></span><span><span><span><span>x2 </span>+ <span>19x </span></span>+ 34 </span>= 0

</span>Step 3: Factor left side of equation.<span><span><span>(<span>x + 2</span>) </span><span>(<span>x + 17</span>) </span></span>= 0

</span>Step 4: Set factors equal to 0.<span><span><span>x + 2 </span>= <span><span><span>0<span> or </span></span>x </span>+ 17 </span></span>= 0

</span><span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−17

</span></span>Answer:<span><span>x = <span>−<span><span>2<span> or </span></span>x </span></span></span>= <span>−<span>17

Hope this helps! :)</span></span></span>

5 0

3 years ago

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The length of a rectangle is 8 centimeters less than its width. What are the dimensions of the rectangle if its area is 240 squa

Dmitriy789 [7]

Answer:
Well, Your best answer will be is 35.
Here's a Explain.
W-5=0
W=5 That's for the width.
L=3*5-8
L=15-8=7 And, That's for the length.
Here's proof.
35=7*5
35=35
Hope That Helps!~

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3 years ago

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Dorothy's dietary intake for one day consisted of 250 grams of carbohydrate, 60 grams of protein, and 40 grams of fat. What perc

tester [92]

Answer:

$\%Percent = 17.14\%$

Step-by-step explanation:

Given

$Carbohydrate = 250\ g$

$Protein = 60\ g$

$Fat = 40\ g$

Required

Determine the percentage of protein

First, we need to calculate the total:

$Total = Carbohydrate + Protein + Fats$

$Total = 250\ g + 60\ g + 40\ g$

$Total = 350\ g$

Percentage of protein is calculated as thus:

$\%Percent = \frac{Protein * 100\%}{Total}$

$\%Percent = \frac{60 * 100\%}{350}$

$\%Percent = \frac{6000\%}{350}$

$\%Percent = 17.14\%$

4 0

3 years ago

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.

charle [14.2K]

ANSWER

See below

EXPLANATION

Given

$f(x) = \frac{ {x}- 9 }{x + 5}$

and

$g(x) = \frac{ - 5x - 9}{x - 1}$

$(f \circ \: g)(x)= \frac{ (\frac{ - 5x - 9}{x - 1})- 9 }{(\frac{ - 5x - 9}{x - 1} )+ 5}$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9(x - 1)}{x - 1}}{\frac{ - 5x - 9 + 5(x - 1)}{x - 1} }$

Expand:

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9 - 9x + 9}{x - 1}}{\frac{ - 5x - 9 + 5x - 5}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 5x - 9x + 9 - 9}{x - 1}}{\frac{ - 5x + 5x - 5 - 9}{x - 1} }$

$(f \circ \: g)(x)= \frac{ \frac{ - 14x }{x - 1}}{\frac{ -14}{x - 1} }$

Since the denominators are the same, they will cancel out,

$(f \circ \: g)(x)= \frac{ - 14x}{ - 14} = x$

8 0

3 years ago