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3 years ago

3/8(2x-8/3x)=21 solve the equation for x

Mathematics

2 answers:

mart [117]3 years ago

7 0

Answer:

$\boxed{\bold{x=-84}}$

Explanation:

Multiply Both Sides By 8:

= $\bold{8\cdot \frac{3}{8}\left(2x-\frac{8}{3}x\right)=21\cdot \:8}$

Simplify:

= $\bold{-2x=168}$

Divide Both Sides By -2:

= $\bold{\frac{-2x}{-2}=\frac{168}{-2}}$

Simplify:

= $\bold{x=-84}$

//Mordancy //.

Serhud [2]3 years ago

6 0

X= -84 this would be your answer also use photomath :)

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3 years ago

Emily is 68 years old. Colin is 17 years older than Emily. Dan is 16 years younger than Emily. What is the total of their combin

Oksanka [162]

Answer:

205 years

Step-by-step explanation:

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3 years ago

HELP PLEASE FIND X AND SHOW YOUR WORK

PtichkaEL [24]

Answer:

Step-by-step explanation:

Straight lines are 180 degrees, so the angle inside of the triangle next to the 127, is 53 degrees. (180-127= 53)

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7 0

2 years ago

7(8 + y) simplified?

Juli2301 [7.4K]

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3 years ago

Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court

Ksju [112]

Answer:

$(a)\dfrac{92}{117}$

$(b)\dfrac{8}{39}$

$(c)\dfrac{25}{117}$

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

$P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}$

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed) $=P(MW)+P(WM)$

$=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}$

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

A man is appointed first and a woman is appointed next.
A woman is appointed first and a man is appointed next.
Two women are appointed

P(at least one woman is appointed) $=P(MW)+P(WM)+P(WW)$

$P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}$

In Part B, $P(MW)+P(WM)=\frac{8}{39}$

Therefore:

$P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}$

5 0

3 years ago

3/8(2x-8/3x)=21 solve the equation for x​

3/8(2x-8/3x)=21 solve the equation for x