Determine the number of liters that are in 150 kiloliters

Ann [662]

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Question
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$\boxed { \frac{n+h}{5} = \frac{f+9}{9}}$

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Split the fraction on the left
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$\boxed { \frac{n}{5} + \frac{h}{5} = \frac{f + 9}{9}}$

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Take away h/5 from both sides
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$\boxed { \frac{n}{5} = \frac{f+9}{9} - \frac{h}{5}}$

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Change the denominator to be the same
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$\boxed { \frac{n}{5} = \frac{5f+45}{45} - \frac{9h}{45}}$

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Put it into single fraction
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$\boxed { \frac{n}{5} = \frac{5f+45-9h}{45} }$

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Rearrange (This step may not be necessary)
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$\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }$

$\bf \Longrightarrow \ Answer \ : \boxed {\boxed {\frac{n}{5} = \frac{5f-9h+ 45}{45} }}$

6 0

3 years ago

The function f(x) is the total amount spent at a store, when purchasing x items that are $5 each and the items are not taxable

Keith_Richards [23]

F(x)=5x

normal domain: all real numbers
practical domain: all positive integers

becasue we can substituent with any positive integer in the place of x

3 0

3 years ago

Read 2 more answers

Round each addendum to the nearest ten. 478 + 112

Amiraneli [1.4K]

500 and 100 because if you see the seven right, seven is the judge and so as the one. Make it 500 and the next number 100. So you'll have en estimate of 600. Ur welcome.

8 0

3 years ago

What is the standard deviation of the following data set rounded to the nearest tenth? 56 ,78 ,123 , 34, 67, 91, 20

quester [9]

Answer:

The standard deviation of the following data set is 32.2

Step-by-step explanation:

step 1

Find the mean

we have

$[56,78,123,34,67,9,20]$

Sum the data and divided by the number of elements

$[56+78+123+34+67+91+20]/7=469/7=67$

step 2

For each number: subtract the Mean and square the result

$[(56-67)^{2},(78-67)^{2},(123-67)^{2},(34-67)^{2},(67-67)^{2},(91-67)^{2},(20-67)^{2}]$

$[121,121,3,136,1,089,0,576,2,209]$

step 3

Work out the mean of those squared differences

$[121+121+3,136+1,089+0+576+2,209]/7=1,036$

This value is called the "Variance"

step 4

Take the square root of the variance

$standard\ deviation=\sqrt{1,036}=32.2$

6 0

3 years ago

I need help with these questions

inysia [295]

Answer:

28. m<A=20°, m<B=70°

32. m<A=103°, m<B=77°

Step-by-step explanation:

complementary angle=a+b=90°

supplementary angle=a+b=180°

28. A+B=90°

5x+17x+2=90°

22x+2=90°

22x=90-2

22x=88

22x/22=88/22

x=88/22=4

m<A=5x=5*4=20°

m<B=17x+2=17*4+2=68+2=70°

Check

A+B=90°

20+70=90°

90°=90°

32. A+B=180°

x+11+x-15=180°

2x-4=180°

2x=180+4

2x=184

2x/2=184/2

x=184/2

x=92

m<A=x+11=92+11=103°

m<B=x-15=92-15=77°

Check

A+B=180°

103+77=180°

180°=180°

6 0

2 years ago