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Scorpion4ik [409]
3 years ago
7

Solve for x 3(ax + 9) = -4 (-2 - 10x)

Mathematics
1 answer:
ivolga24 [154]3 years ago
8 0

Answer:

19

-----   =   x

40-3a

Step-by-step explanation:

3(ax + 9) = -4 (-2 - 10x)

Distribute

3ax +27 = 8+40x

Subtract 3ax from each side

3ax-3ax +27 = 8+40x-3ax

27 = = 8+40x-3ax

Subtract 8 from each side

27-8 = 8-8+40x-3ax

19 = 40x-3ax

Factor an x on the right side

19 = x(40-3a)

Divide each side by 40-3a

19/(40-3a) = x(40-3a)/(40-3a)

19

-----   =   x

40-3a

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What is the approximate volume of a cone with a height of 12 in. and radius of 9 in.?
frutty [35]
<span>The formula for calculating the cone volume is: 
</span>V =  \frac{  \pi *r^2* h}{3}
<span>
Data:
h (height) = 12 in
r (radius) = 9 in
Use: </span>\pi \approx 3.14

Solving:
V = \frac{ \pi *r^2* h}{3}
V = \frac{ 3.14 *9^2* 12}{3}
V = \frac{ 3.14 *81* 12}{3}
V = \frac{3,052.08}{3}
V = 1,017.36 \to \boxed{\boxed{V = 1,017.4\:in^3}}\end{array}}\qquad\quad\checkmark
7 0
3 years ago
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Answer:

y=x

Step-by-step explanation:

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3 years ago
16 2/3% of what number is 90?
zysi [14]

Answer:

540

Step-by-step explanation:

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7 0
3 years ago
Joe works as a busboy making $7 per hour and as a theater usher making $9 per hour. Let b be the number of hours he works as a b
Vilka [71]

Answer:

The inequality describing the situation is:

7b+9u>1500

Step-by-step explanation:

Joe works as a busboy at the rate of = $7 per hour

Let the number of hours he works as a bus boy this month be = b hours

∴ Amount Joe would make this month working as a busboy =\$7\times b=\$7b

Joe works as a theater usher at the rate of = $9 per hour

Let the number of hours he works as a theater usher this month be = u hours

∴ Amount Joe would make this month working as a theater usher =\$9\times u=\$9u

Total amount Joe would make this month =\$(7b+9u)

His goal is earn more than $1500 this month.

∴ The situation can be represented in the following inequality:

7b+9u>1500

6 0
3 years ago
What is the probability of rolling a 6 sided die and getting a 4 or a number divisible by 3. A) 1/3 B) 1/18 C) 2/3 D) 1/2
KATRIN_1 [288]
Let 
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Event B = rolling a number divisible by 3 (3 or 6) on a single die

There are three outcomes possible in total if either event A happens or event B happens. This is out of six outcomes total.

Divide the values and reduce: 3/6 = 1/2

Final Answer: Choice D) 1/2
6 0
3 years ago
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