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Ymorist [56]
2 years ago
15

Gavyn, Pip and Mark share £102 in a ratio 1:2:3. How much money does each person get?

Mathematics
2 answers:
rosijanka [135]2 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio , 1 + 2 + 3 = 6 parts

divide the amount by 6 to find the value of one part of the ratio

£102 ÷ 6 = £17 ← value of 1 part of the ratio , then

2 parts = 2 × £17 = £34

3 parts = 3 × £17 = £51

Gavyn gets £17

Pip gets £34

Mark gets £51

Ulleksa [173]2 years ago
5 0
The answers are
G=£17
P=£34
M=£51
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A stick 43 inches long is broken into two pieces, so that one piece is twice as long as the other. How long are the two pieces?
allsm [11]

Answer:

One piece is  \frac{43}{3} inches and another piece is \frac{86}{3} inches


Step-by-step explanation:

Let smaller piece length be s

Let larger piece length be  l


Since total of two pieces is 43, we can write:

s+l=43


Also, one piece is twice as long as the other (so longer piece is definitely twice as the short piece), we can write:

l=2s


<em>Substituting equation 2 into equation one, we can solve for s:</em>

s+l=43\\s+(2s)=43\\3s=43\\s=\frac{43}{3}

<em>Thus longer piece is:</em>

l=2s=2(\frac{43}{3})=\frac{86}{3}

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3 years ago
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A television and DVD player cost a total of $1230. The cost of the television is two times the cost of the DVD player. Find the
nikitadnepr [17]

Answer:

Television = 820

DVD Player = 410

Step-by-step explanation: Imagine the television  as 2, and the DVD player as 1. If you’re were to draw it out with boxes, you’d see that the tv  has two boxes and the DVD player has 1 box. All are exactly the same amount, and there are a total of three boxes. So divided 1230 by 3 and you get 410. Using the idea of the boxes, the DVD player get’s one 410, and the tv gets two 410s, or 820.

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3 years ago
What are the x-intercepts of x^2– 3x = 4?
Sindrei [870]

Answer:

x^2-3x=4

x^2-3x-4=0

x^2-4x+x-4=0

x(x-4)+1(x-4)=0

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x=-1,4

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Step-by-step explanation:

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3 years ago
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Anna [14]

Answer:

<em>$506.13</em>

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A = Pe^{rt}

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The interest earned is $986.13 - $480 = $506.13.

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