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Kay [80]
4 years ago
8

What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?

Mathematics
1 answer:
sammy [17]4 years ago
5 0
4(x – 3) + 4 < 10 + 6x
Distribute the 4 on the left side.

4x -12 +4 < 10 + 6x
Combine like terms on the left side.

4x-8<10 +6x
Subtract the 6x from both sides.

-2x -8<10
Add the 8.

-2x <18
Divide by -2 & flip the inequality symbol (it's a math rule which states that if you multiply or divide by a negative, you must flip the inequality symbol).

x> -9

That's your final answer.
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The formula for the volume of a cone is V=1/3(3.14)r^2(h) where V represents the volume, r represents the radius of the base, an
jasenka [17]

The original formula for the volume of a cone is

V=\dfrac{1}{3}\pi r^2h

O.K. You give the approximate value of pi in the formula.

V=\dfrac{1}{3}\cdot3.14r^2h

We have:

V=66\ cm^3,\ r=3\ cm

Substitute:

\dfrac{1}{3}\cdot3.14\cdot3^2h=66\\\\3.14\cdot3h=66\\\\9.42h=66\ \ \ \ |:9.42\\\\h\approx7\ cm

Answer: 7 cm.

7 0
3 years ago
Please help me!!! It's due in a hour and I have a lot on my plate!!
Sergio039 [100]

Answer:

1. +35

2. -270 ft.

3. -$12

4. +19°

5. -15 ft

6. +$25

hope this helps :)

5 0
3 years ago
Read 2 more answers
1. What is the area of the figure below?
Assoli18 [71]

c. because when you di the math it adds up

6 0
3 years ago
A researcher surveyed 80 adults and found that 22 regularly run for exercise and 18 regularly swim for exercise.
Aliun [14]
Whenever the questions asks for the probability and has "or" you have to add the two probabilities. In the same way, "and" implies multiplication. Therefore, the probability that someone swims is:
\frac{18}{80} =  \frac{9}{40}

Probability that someone runs:
\frac{22}{80} =  \frac{11}{40}

Thus, if you add them:
\frac{9}{40} +  \frac{11}{40} =  \frac{20}{40}  =  \frac{1}{2}

So, the probability that someone swims <em>or</em> runs is 1/2 or 50%.
6 0
3 years ago
9 - x = 6; x = 15 6x = 24; x = 6 35 = 5x; x = 7 x + 10 = 21; x = 31 <br> which one is right
ycow [4]

Answer:

35 = 5x ; x = 7

Step-by-step explanation:

plug 7 in for x

35 = 5(7)

35 = 35

hope this helps!!!

6 0
3 years ago
Read 2 more answers
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