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3 years ago

Show work step by step!!

Mathematics

1 answer:

natta225 [31]3 years ago

3 0

10.5 ounces because you’d get 3.2 ounces per dollar where as the 7.5 you’d get 3 ounces

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What operation is being done to the variable in the equation -5m = -40?

Jlenok [28]

Answer:

it's being divided by -5

Step-by-step explanation:

-5m= -40

m=8

8 0

2 years ago

Two years ago, Rita was three times older than Cheryl. In 3 years, Rita will be twice older than Cheryl. How old are the girls n

Brrunno [24]

Answer:

Cheryl's age = x = 7 years

Rita's age = y = 17 years

Step-by-step explanation:

Let

Cheryl's age = x

Rita's age = y

Two years ago, Rita was three times older than Cheryl

(y - 2) = 3(x - 2)

y - 2 = 3x - 6

y = 3x - 6 + 2

= 3x - 4

y = 3x - 4

In 3 years, Rita will be twice older than Cheryl

(y + 3) = 2(x + 3)

y + 3 = 2x + 6

y = 2x + 6 - 3

= 2x + 3

y = 2x + 3

Equate both equations

3x - 4 = 2x + 3

Collect like terms

3x - 2x = 3 + 4

x = 7 years

Substitute x = 7 into

y = 2x + 3

= 2(7) + 3

= 14 + 3

= 17

y = 17 years

Cheryl's age = x = 7 years

Rita's age = y = 17 years

5 0

2 years ago

!!!!!NEED HELP ASAP. RIGHT NOW!!!!!!

Nitella [24]

Answer:

15% of 100,000 is 15000, so that would be 100,000 + (15,000*3) = 145,000 after 3 years.

6 0

2 years ago

Solve each equation <br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3x-2%7D%7Bx%2B%204%7D%20%3D0%5C%5C%5C%5C%5C%5C%5Cfrac%7B2%7

Sloan [31]

The expression (3x - 2)/(x + 4) = 0 has a value of x is 3/2. Amd the expression 2/(x + 4) = 0 has a value of x is ∞.

<h3>What is simplification?</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

The expression is given below.

(3x - 2)/(x + 4) = 0

Then on simplifying, we have

3x - 2 = 0

3x = 2

x = 3/2

And

2/(x - 3) = 0

2 ≠ 0

More about the simplification link is given below.

brainly.com/question/12616840

#SPJ1

4 0

2 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

2 years ago