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riadik2000 [5.3K]
3 years ago
12

What is the solution to the inequality?

Mathematics
2 answers:
lesya [120]3 years ago
8 0
Hi there!

Below are the steps to solving the inequality, but there's not a lot.

1) Subtract 18 from both sides

7x + 18 - 18 > -3 - 18
7x > -21

2) Divide both sides by 7

7x/7 > -21/7

This gives you x > -3, so the correct answer is choice D.
If you're in doubt of this you can substitute the x > -3 for the x in the equation and see what you get. It's pretty simple.

Hope this helps!
nika2105 [10]3 years ago
7 0
7x + 18 > -3

Subtract 18 from both sides, 
7x > -21

Divide from 7, 
x > -3

In short, Your Answer would be Option D

Hope this helps!
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The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.
Anika [276]

Option C: r = \sqrt[3]{\frac{3V}{4\pi} } is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

V = \frac{4}{3}\pi r^3

We have to make r the subject of the formula

Multiplying equation by 3/4

\frac{3}{4}V = \frac{4}{3} * \frac{3}{4} \pi r^3\\\frac{3}{4}V = \pi r^3

Dividing both sides by pi

\frac{3}{4\pi}V =\frac{ \pi r^3}{\pi}\\\frac{3V}{4\pi} = r^3

Taking cube root on both sides

\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }

Hence,

Option C: r = \sqrt[3]{\frac{3V}{4\pi} } is the right answer

Keywords: Volume, Sphere

Learn more about volume at:

  • brainly.com/question/12973601
  • brainly.com/question/13063819

#LearnwithBrainly

5 0
3 years ago
Put this equation in slope intercept form: 3x - 2y = -6
VashaNatasha [74]

Answer:

Y= 3/2x+3

Step-by-step explanation:

Hopefully this helps if so please mark as brainliest

8 0
3 years ago
Taylor took 6 hours to drive home from college for Thanksgiving break, a total distance of 290 miles.
vredina [299]

Answer: at 50 mph, she drove for 4 hours.

at 45 mph, she drove for 2 hours.

Step-by-step explanation:

Let t represent the time that she spent driving at 50 miles per hour.

Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.

Distance = speed × time

Distance covered while driving 50 miles per hour is

50t

Distance covered while driving 45 miles per hour is

45(6 - t)

Since the total distance that she drove is 290 miles, it means that

50t + 45(6 - t) = 290

50t + 270 - 45t = 290

50t - 45t = 290 - 270

5t = 20

t = 20/5 = 4

At 45 miles per hour, she drove at

6 - 4 = 2 hours

7 0
3 years ago
How many ink cartridges can you buy with 150 dollars if one cartridge costs 15 dollars ?
musickatia [10]

Answer:

10

Step-by-step explanation:

Very easy equation if you know how to do it. All you need to do is divide your total amount of something (in this case "150" as that's our amount of "money we're given") by whatever the price or amount is. (In this case 15. Each cartridge costs $15. I'm not amazing at explaining things like this.. Sorry about that. If you have any questions about this feel free to let me know!)

So to put it "all together":

150 ÷ 15 = 10.

10 is your answer.

Hope this helps and have a nice day!

8 0
3 years ago
[100+(586+40/10)]/5<19
Ksivusya [100]
Use PEMDAS.  So it would then simplify to [100+(586+4)]/5<19 then continueing that it would be [100+590]/5<19 and then 690/5<19 which finally will be 138<19 and that is a valid statement
6 0
3 years ago
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