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emmasim [6.3K]
4 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]4 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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A water cooler holds 1,284 ounces of water. How many more 6 ounce glasses than 12-ounce glasses can be filled from the cooler
yawa3891 [41]
Answer:
- The water cooler can hold 214 of the 6-oz glasses because 1284 / 6 = 214

- The water cooler can hold 107 of the 12-oz glasses because 1284 / 12 = 107

- Because it is asking how many more glasses, you would do 214 - 107 = 107.

- You could also say that the water cooler can hold twice as many 6-oz glasses than 12-oz glasses.

Hope that helps! :)
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v = -20

you may replace v with -20 and simplify to vertiy the answer.

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1 year ago
20 is what percent of 52
Maslowich
The process here is finding out the smallest number's % towards the largest number.

Divide 20 by 52:
20/52 = 0.38 (estimated) | This is the % in decimal form, which is 38%.

Conclusion: 20 is 38% of 52.

{---Further Elaboration for Future Reference---}

Finding the Smallest Number:

What number is 25% of 60?

Multiply 60 by the decimal form of 25%.
60 * 0.25 = 15 | 15 is 25% of 60.

Finding the Percentage. (Like what we already did.)

30 is what percent of 150?

Divide 30 by 150.
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Finding the Largest Number.

12 is 30% of what number?

Divide 12 by the decimal form of 30%.
12/0.3 = 40 | 12 is 30% of 40.

I hope this helps, have a great rest of your day! ^ ^
| | Ghostgate | |
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