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Sidana [21]
2 years ago
15

Caroline, Colin & Sarah share some money.

Mathematics
1 answer:
Alex787 [66]2 years ago
8 0

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

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Please help!<br> And explain the answers too!
RideAnS [48]
1) He worked 4 hours leaving 6 more hours for him.
rate for A alone 6 baker
rate for A & B together 4
1/a+1/b=1/x
1/6+1/b=1/4
1/b=1/4-1/6
1/b=6/24-4/24
1/b=2/24
1/b=1/12
b=12
rate for wife alone 12 hours for the remaining 6 hours
check
1/6+1/12=1/4
12/72+6/72=1/4
18/72=1/4
ok
codewa
But we want to know how long it would have taken her for the whole job not just part of it
he works twice as fast as she does so the job that takes him 10 hours alone would take her 20 hours alone.

2) jessica and cynthia work in a pet shop.
it takes jessica 6 hours to groom all the pets but cynthia needs 8 hours to groom them.
if jessica starts to groom 1 hour before cynthia joins, how long will it take them to finish?
:
let t = time it takes them to finish (C's working time)
then
t+1 = J's working time
let 1 = completed job (all pets groomed)
:
A shared work equation, each does a fraction of the job, the two fractions add up to 1
%28%28t%2B1%29%29%2F6 + t%2F8 = 1
Multiply by the least common multiple of 6 and 8, 24. cancel the denominators
4(t+1) + 3t = 24
4t + 4 + 3t = 24
4t + 3t = 24 - 4
7t = 20
t = 20/7
t = 26%2F7 hrs, which is: 2 + 6%2F7*60 = 2 hrs 51.43 min to finish the job

3) math club takes 40 minutes
science takes 50 minutes.
rate * time = quantity
quantity = 1 set up of the tables.
rate for math club is 1/40 of all the tables in 1 minute.
rate for science club is 1/50 of all the tables in 1 minute.
math club works for 10 minutes.
rate * time = quantity
1/40 * 10 = 10/40 = 1/4 of the tables are already set up by the math club.
there are 3/4 of the tables that still need to be set up.
rate * time = quantity
the rates of the math club and the science club are additive.
(1/40 + 1/50) * time = 3/4 of the tables that still need to be set up.
common denominator is 200.
(5/200 + 4/200) * time = 3/4.
9/200 * time = 3/4
time = 3/4 * 200/9 = 600 / 36 = 16 and 2/3 minutes.
total time required is 10 + 16 + 2/3 minutes = 26 + 2/3 minutes.
how to check.
10 minutes is used to do 1/4 of the tables.
16 + 2/3 minutes is used to do the remaining 3/4 of the tables.
combined rate of math and science club is 9/200 of the tables in 1 minute.
math club rate of 1/40 * 10 = 10/40 = 1/4 of the tables.
combine rate of 9/200 * (16 + 2/3) = 9/200 * 50/3 = 450/600 = 9/12 = 3/4 of the tables.
1/4 + 3/4 = 1 = all of the tables.

6 0
2 years ago
1/3x² + x+5/3x² = 1/9<br><br>HAHAHAHA......​
mr_godi [17]

Answer:

Now, 3x 2+x+5⩾0

This is because b² −4ac=1−4×5×3

=−59 (roots are imaginary)

3x²+x+5=(x−3)² =x²+9−6x and x−3⩾0

2x²+7x−4=0

2x²+8x−x−4=0

2x(x+4)−1(x+4)=0

(2x−1)(x+4)=0

x= 1/2 and−4 but x≥3

∴ No solution.

lol hehehe

7 0
2 years ago
Read 2 more answers
Please Help This Is Math
stira [4]

Answer:

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Step-by-step explanation:

5 0
3 years ago
A gumball machine consists of a base and a glass sphere. The gumballs are stored in the glass sphere. If each
V125BC [204]

Answer:

6 gumballs can be stored in the gumball machine.

Step-by-step explanation:

Since a gumball machine consists of a base and a glass sphere, and the gumballs are stored in the glass sphere, if each gumball has a diameter of 1.5 inches, to determine how many gumballs can be stored in a gumball machine whose glass sphere measures 10 inches in diameter, the following calculation must be made:

10 / 1.5 = X

6.666666 = X

Thus, 6 gumballs can be stored in the gumball machine.

5 0
3 years ago
What is the box-and-whiskers plot used to show?
12345 [234]
The whole idea of that kind of graph is that they allow you to view the complete distribution of data while also being able to see first and third quartiles, the median, and the minimums and maximums. 
5 0
2 years ago
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