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Aleonysh [2.5K]
3 years ago
12

Can someone explain to me in words how to do this problem 3x+122=22x-11

Mathematics
1 answer:
inn [45]3 years ago
8 0

When you have this type of problem, you need to combine the like-terms and isolate the variable.

3x + 122 = 22x - 11

Add 11 to both sides to get rid of it

3x + 122 + 11 = 22x - 11 + 11     (-11 + 11=0)

3x + 133 = 22x

Then you would bring the 3x to the other side, so subtract 3x from both sides

3x + 133 = 22x

-3x             -3x

133 = 22x - 3x

133 = 19x

Then divide both sides by 19 to isolate x

133/19 = 19x/19

133/19 = 7, so x = 7

Hope this helps!!

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Ilia_Sergeevich [38]

Answer:

the price before taxes was $18,229.13

Step-by-step explanation:

6 0
3 years ago
A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If
jekas [21]

We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

V=\frac{4}{3}\pi r^3, where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \frac{15}{2}=7.5 cm.

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3

\text{Volume of one candle}=1766.25\text{ cm}^3

Now we will divide 70,650 cubic cm of wax by volume of one candle.

\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}

\text{Number of candles}=\frac{70,650}{1766.25}

\text{Number of candles}=40

Therefore, 40 candles can be made from 70,650 cubic cm of wax.

8 0
3 years ago
What is the range of y= x + 2?
Lelu [443]

Answer:

A) all real numbers greater than or equal to 2

Domain: x\geq 0

Step-by-step explanation:

The variable in the radical <em>x </em>cannot be less than 0 as that wouldn’t be defined. So, the maximum that <em>x </em>can be is 0, and y=x+2. So, 0+2=2, and <em>y </em>is greater than or equal to 2.

Domain is x is greater than or equal to 0 because you cannot square a negative. So, it must not be less than 0. It could be 0 because square root of 0 is just 0.

7 0
3 years ago
ALGEBRA Find the value of x in each figure.<br><br> HELP ASAP I WILL<br> MARK BRAINLIEST
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Answer:

x=104°

Step-by-step explanation:

180=(x+4) +72

180-72=x+4

108=x+4

108-4=x

104=x

x=104°

Hope this helps! :)

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3 years ago
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