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ZanzabumX [31]
3 years ago
8

Over summer, a dam’s water volume reduces from 20 megalitres to 4 megalitres. What fraction of the water in the dam has been los

t?
Mathematics
1 answer:
musickatia [10]3 years ago
7 0

Hey there! I’m happy to help!

Let’s first subtract 4 from 20 to see how much was lost.

20-4=16

Now, we see that 16 is a certain percent of twenty that we want to find. When talking about percents, the word “is” represents an equal sign. So, we can write this equation. We will have p represent our prevent.

16=20p (16 is a certain percent of 20)

Now, we solve by dividing both sides of the equation by 20 to isolate the p.

p=0.8

0.8 is 80% or 4/5, so 4/5 of the dam water has been lost.

Have a wonderful day! :D

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150g of roquefort cheese cost £1.68<br> work out the cost of 250g of roquefort
mafiozo [28]
ANSWER

250g of Roquefort cheese will cost

£2.8

EXPLANATION

If 150g of roquefort cheese cost £1.68, we can write the ratio,


150: 1.68

Let 250g of Roquefort cheese cost £x.


Then we can again write the ratio,

250:x

We can equate the two ratios and solve for x.

150: 1.68 = 250:x


We rewrite the ratios as fractions to obtain,

\frac{150}{1.68}  =  \frac{250}{x}

We cross multiply to get,


150x =  250 \times 1.68
This implies that,

150x = 420


Divide both sides by 150 to get,


x =  \frac{420}{150}
x = 2.8


Therefore 250g of Roquefort cheese will cost

£2.8
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Someone please explain step by step.
dolphi86 [110]

Answer:

{10}^{th}  \: term  =  \frac{5}{512}

Step-by-step explanation:

geometric progression formula:

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given:

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first \: term \:  = 5

1) find the value of a

{n}^{th}  \: term \:  = a {r}^{n - 1}

we're finding the 1st term, so substitute 1 into n:

{1}^{st}  \: term  = a( \frac{1}{2} ) {}^{1 - 1}

first term is 5. so we substitute 5 into the equation:

5 = a(1)

a = 5

2) find the 10th term

we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:

{10}^{th}  \: term  = 5( \frac{1}{2} ) {}^{10 - 1}

{10}^{th}  \: term  = 5( \frac{1}{512} )

{10}^{th}  \: term =  \frac{5}{512}

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3 years ago
Need help, 40 points.
Greeley [361]

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Step-by-step explanation:

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