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IgorLugansk [536]
3 years ago
13

Distribute the expression:

Mathematics
1 answer:
AlekseyPX3 years ago
8 0
6(3r^2 - 4r + 7)
18r^2 - 24r + 42
Letter A
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Caroline, Colin & Sarah share some money.
Alex787 [66]

Caroline, Colin & Sarah share some money.Caroline will get \dfrac{2}{3}  when Caroline, Colin & Sarah share some money.

<h3>What is the ratio?</h3>

The ratio defined as the sharing of the two or three things or it represent that one thing or number is how many times to the other.

One part is excluded in the problem. That part is:

"Caroline gets \dfrac{1}{9} of the money."

If Caroline gets 1/9th, then remaining is:

1-\dfrac{1}{9}=\dfrac{8}{9}

Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...

8/9th in 4 parts means, each part is:

\dfrac{\dfrac{8}{9}}{4}=\dfrac{2}{9}

We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:

3\times \dfrac{2}{9}=\dfrac{6}{9}=\dfrac{2}{3}

Colin gets  \dfrac{2}{3} money when three of them share money.

To know more about Ratio follow

brainly.com/question/2328454

#SPJ1

8 0
2 years ago
In an all boys school, the heights of the student body are normally distributed with a mean of 70 inches and a standard deviatio
almond37 [142]

Answer:

0.010

Step-by-step explanation:

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score = 63 inches

μ is the population mean = 70 inches

σ is the population standard deviation = 3 inches

For x shorter than 63 inches = x < 63

Z score = x - μ/σ

= 63 - 70/3

= -2.33333

Probability value from Z-Table:

P(x<63) = 0.0098153

Approximately to the nearest thousandth = 0.010

Therefore, the probability that a randomly selected student will be shorter than 63 inches tall, to the nearest thousandth is 0.010.

3 0
3 years ago
What is the LCM of 18 and 45 ?
zhannawk [14.2K]

Their least common multiple is  90 .

90 = 5 x 18

90 = 2 x 45
3 0
3 years ago
If 4 electricians can complete a job in 8 hours how long will it take 3 electricians to complete the same job
levacccp [35]
We know that

if <span>4 electricians can complete a job in 8 hours
then
</span>100% of a job -------> 8 hours
x------------------> 1 hour
x=100/8----> x=12.5%

divide by 4 electricians
12.5%/4-----> 3.125%
that means each electrician can complete 3.125% of a job in 1 hour

therefore
3 electricians-----> 3*3.125%----> 9.375% in 1 hour
so
9.375%-----------> 1 hour
100%--------------> x
x=100/9.375----> x=10.67 hours

the answer is
10.67 hours

8 0
3 years ago
Rewrite 3* = 243 as a logarithmic equation.
soldi70 [24.7K]

Answer:

log₃(243) = x

Step-by-step explanation:

3^x = 243

Rule: a^x = b -> logₐ(b) = x

log₃(243) = x

4 0
3 years ago
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