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Verizon [17]
3 years ago
7

Solve:0.2(6x+1)/3.6=0.5x/9

Mathematics
1 answer:
Andrej [43]3 years ago
3 0

Answer:

x = -0.2

Step-by-step explanation:

Cross multiply

9* 0.2(6x + 1) = 3.6 * 0.5x Combine the coefficients on the right.

1.8 (6x + 1) = 1.8 x                Remove the brackets on the left

1.8*6x + 1.8 = 1.8x               Multiply the factors on the left. Don't do anything with the plus sign

10.8x + 1.8= 1.8x                 Subtract 1.8 from both sides

10.8x = 1.8x - 1.8                 Subtract 1.8x from both sides

10.8x - 1.8x = -1.8

9x = - 1.8                             Divide by 9

x = -1.8/9

x = - 0.2

Check

This is one question you should check. There's lot's of room for an error.

<em><u>LHS</u></em>

0.2(6x+1)/3.6

0.2(6 * -0.2 + 1) / 3.6

0.2( - 1.2 + 1) / 3.6

0.2( - 0.2) / 3.6

- 0.04 / 3.6

- 0.011111111

<em><u>RHS</u></em>

0.5 ( - 0.2)/9

-0.1/ 9

- 0.0111111 And the left and right side check.

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5 0
2 years ago
24 is 31.25% of what number? Prove your answer in the show your workbox.
FinnZ [79.3K]

Answer:

76.8

Step-by-step explanation:

1. We assume, that the number 31.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 31.25, so we can write it down as 100%=31.25.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=31.25

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=31.25/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 31.25

100%/x%=31.25/24

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100=1.3020833333333*x       - we divide both sides of the equation by (1.3020833333333) to get x

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6 0
3 years ago
Read 2 more answers
Jacob used 1/7 of a liter of water to fill 1/9 of the fish aquarium. How many liters of water are needed to fill the aquarium?
laila [671]
Jacob used 1/7 of a liter of water.
He needs to fill 1/9 of the fish aquarium.
Find how many liters would Jacob need to fill the aquarium
=> Let x = liters of water need to fill the aquarium
=> x/1 = 1/7 divided by 1/9
=> x = 1/7 x 9/1
=> x = 9/7, since this is an improper fraction, let’s convert it to mixed fraction
=> x  = 1 and 2/7
So, Jacob need 1 and 2/7 liter of water to fill the whole aquarium.



3 0
3 years ago
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