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Serhud [2]
3 years ago
11

Caroline, Colin & Sarah share some money. Caroline gets 1 /9 of the money. Colin and Sarah share the rest in the ratio 1:3.

What proportion does Colin get?
Mathematics
1 answer:
laiz [17]3 years ago
4 0

Answer:

Colin gets  \frac{2}{9} of the total money

Step-by-step explanation:

If we let the total amount be "90" (or any multiple of 9), then the solution gets much easy.

Let total money be 90.

Caroline gets 1/9, so that is:

1/9 * 90 = 10

Remaining is 90 - 10 = 80

This 80 is divided in the ratio 1:3, that means Colin gets 1 part and Sarah gets 3 part. That is 1 + 3 = 4 parts altogether.

80 divided in 4 parts is 80/4 = 20 each part.

Colin gets 1 part, that is 1 * 20 = 20

Colin gets 20 OUT OF 90 (total initial).

<em>What proportion is that? We simply divide and reduce!!</em>

<em />

20/90 = 2/9

Colin gets  \frac{2}{9} of the total money

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8 0
3 years ago
Evaluate the expression. [(8 x 7) – 2): 9​
frozen [14]

Answer:

☑ Answer is 6

Step-by-step explanation:

{ \tt{ \{(8 \times 7) - 2 \} : 9}} \\  = { \tt{(56 - 2) :9 }} \\  = { \tt{54 :9 }}

» But this is a ratio, so it can be expressed in terms of fractions:

= { \tt{ \frac{54}{9} }} \\

» Divide both the denominator and numerator by 9:

{ \tt{ =  \frac{54 \div 9}{9 \div 9} }} \\  \\  = { \tt{ \frac{6}{1} }} \\  \\  = 6

6 0
2 years ago
How do you solve this?
Novay_Z [31]

Let's solve your equation step-by-step.


−7x=−2x2+15


Step 1: Subtract -2x^2+15 from both sides.


−7x−(−2x2+15)=−2x2+15−(−2x2+15)


2x2−7x−15=0


Step 2: Factor left side of equation.


(2x+3)(x−5)=0


Step 3: Set factors equal to 0.


2x+3=0 or x−5=0


x=  \frac{-3}{2} or x=5

Answer:


x=    \frac{-3}{2} or x=5


Hope this helps

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Answer:

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Step-by-step explanation:

Solve for b means, write in the form of b =...

Given

+ b = - 1 and this is the same as b = - 1.

That is because the plus sign has no real meaning here, so you can ignore it as if it was not there at all.

It so turns out you now have the answer!

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