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emmasim [6.3K]
3 years ago
10

Solve for x in this inequality. Show all your work and graph your solution. 4(x-3)<2x-4

Mathematics
1 answer:
maw [93]3 years ago
6 0

Answer:

x<4

Step-by-step explanation:

To solve for x in the inequality equation, the terms should be rearranged such that x is on one side and integers are on the other side.

First, expand 4(x-3).

This will obtain:

4x - 12 < 2x - 4

Now, shift x terms and integers on each side.

4x - 2x <  - 4 + 12

After simplifying, it will get:

2x < 8

Finally, we can solve for x.

x < 4

We can also draw the respective graph (please don't mind my drawings), where the area shaded in green is the range.

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What is 0.4 as a simplified fraction
mestny [16]

Answer: 2/5

Step-by-step explanation: Using the place value chart, we can see that the decimal 0.4 is four tenths, so we can write 0.4 as the fraction 4/10.

Notice however that 4/10 is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 4 and 10 which is 2.

So if we divide the numerator and the denominator by 2, we get the equivalent fraction 2/5.

Therefore, 0.4 can be written as the fraction 2/5 which is in lowest terms.

5 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
AleksAgata [21]

Answer:

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8 0
3 years ago
Read 2 more answers
Jill drives 75 1/3 miles every hour how many miles can Jill Drive in 8 and 3/4 hours
11Alexandr11 [23.1K]
First, multiply 75 by 8 to get 600. 
Then multiply 1/3 by 8 to get 8/3 or 2 2/3. 
Add those together to get 602 2/3. 

Next multiply 1/3 by 3/4 by multiplying the numerator by 3 and the denominator by 4. That is 3/12. Also known as 1/4. 
Multiply 75 by 3/4 by dividing it by 4 then multiplying it by 3. That is 56 1/4. 
Add 56 1/4 and 1/4 together to get 56 1/2. 

Lastly, add together 56 1/2 and 602 2/3.
Convert the fractions to sixths.
56 3/6 + 602 4/6 = 659 1/6 miles
Hope this helps! 
6 0
3 years ago
At the end of the month mr copley has $1473.61 in is checking account his checkbook showed the following transaction if made mad
ycow [4]

Total balance in Mr. Copley at the end of the month = $1473.61.

Initial deposite =  $75 (not shown in his checkbook).

Let us assume his balance at the beginning of the month = x.

Total balance at the end of the month = The balance at the beginning of the month + total deposite.

$1473.61 = x + 75.

Subtracting 75 from both sides, we get

1473.61 -75 = x + 75 -75.

1398.61 = x.

Therefore, his balance at the beginning of the month was $1398.61.

7 0
4 years ago
If I paid $205.50 for a phone that was 70% off, then what was the original price of the phone
slega [8]

Answer:

£349.35

Step-by-step explanation:

okay so firstly add the % to 100 = 170

then do 170 divided by 100 and multiply by the total ($205.50)

this would give you $349.35 <----- this is your orignal price (before the sale 70% off)

4 0
3 years ago
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