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Arlecino [84]
4 years ago
7

3 people win the lottery win £120 pounds. They split it into the ratio of 1:3:8 how much does each person get

Mathematics
2 answers:
miss Akunina [59]4 years ago
6 0
You will take the ratio divide it by the total and then multiply into 120
The First Person
1/12 × 120 = £10
The Second Person
3/12×120 = £30
The Third Person
8/12×120 = £ 80
borishaifa [10]4 years ago
3 0
Let me walk you through my thinking.

1. Find the unit portion.
This means to find how much a single amount equals. We know that the group split the amount into 12 parts. We can figure this out by adding up the parts. 3 + 1 + 8 = 12. Lets divide 120 by 12 so we know how much "1" is. 120/12 = 10. So each part is 10.

2. Give 10 to each person.
The first part of the ratio gets 10 because they only have "1". The second gets 10 x 3 = 30, and the last gets 10 x 8 =80.

3. Check your work
Let see if we gave her correct amount by adding up our values. 80 + 30 + 10 = 120, so we know that we are right.

4. Give units with your answer
We cannot just say the first gets 10, the second gets 30, and the last gets 80. We need to let them know what. So the answer is...


The first person gets 10 pounds
The second person gets 30 pounds
The third person gets 80 pounds


I hope this helps!
Please give this a thanks!
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Find the domain of the function. (Enter your answer using interval notation.)
Andreas93 [3]

Answer:

(-\infty,-9)\cup(-9,\infty)

Step-by-step explanation:

The domain of a rational function is all real numbers <em>except </em>for when the denominator equals 0.

So, to find the domain restrictions, set the denominator to 0 and solve for x.

We have the rational function:

s(y)=\frac{7y}{y+9}

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y+9=0

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y\neq-9

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In other words, our domain is all values to the left of negative 9 and to the right of negative 9.

In interval notation, this is:

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Verify if f(x)= 5-3x/2 and g(x)= 5-2x/3 are inverses. Please show step by step.
mestny [16]

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

<h3>Inverse of functions</h3>

In order to determine if the function f(x) and g(x) are inverses of each other, the composite function f(g(x)) = g(f(x))

Given the function

f(x)= 5-3x/2 and

g(x)= 5-2x/3

f(g(x)) = f(5-2x/3)

Substitute

f(g(x)) = 5-3(5-2x)/3)/2

f(g(x)) = (5-5+2x)/2

f(g(x)) = 2x/2

f(g(x)) = x

Similarly

g(f(x)) = 5-2(5-3x/2)/3

g(f(x)) = 5-5+3x/3

g(f(x)) = 3x/3

g(f(x)) =x

Since f(g(x)) = g(f(x)) = x, hence the function f(x) and g(x) are inverses of each other.

Learn more on inverse of a function here: brainly.com/question/19859934

#SPJ1

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