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Volgvan
2 years ago
15

Solve for x. X - 2 = 3( 2 - X ) divided by 4

Mathematics
1 answer:
igomit [66]2 years ago
4 0

Answer:

x = 7/12

Step-by-step explanation:

We start off by multiplying both sides by 4:

4(x-2) = 3(2-x)

Distribute the 4 and the 3:

4x - 8 = 6 - 3x

Bring all the terms with the x at the first side:

4x + 3x = 6 + 8

7x = 12

x = 7/12

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An event has a probability of 2/7. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
AVprozaik [17]

Answer:

Less Likely

Step-by-step explanation:

A 2/7 probability means that it will happen less than half the time.

The eliminates equally likely, more likely, and certain as those are 50% or greater.

The probability is also greater than 0%, so it's not "impossible"

Therefore, the answer must be B, Less Likely.

It happens less than half the time, but can at times happen.

Hope this helps!

4 0
2 years ago
Read 2 more answers
a person invest $1,700 in an account that earns 3.97% annual interest. find when the value of the investment reaches $3,200
olga_2 [115]

Answer:

  16 1/4 years

Step-by-step explanation:

Assuming interest is compounded annually, the account balance (A) after t years will be ...

  A = P(1 +r)^t

  3200 = 1700·1.0397^t

  log(3200) = log(1700) +t·log(1.0397)

  t = (log(3200) -log(1700))/log(1.0397) ≈ 16.247

The account will reach a balance of $3200 after about 16 1/4 years.

___

You may be asked to round your answer to the nearest integer or tenth. We leave that exercise to the student.

5 0
3 years ago
An oblique cylinder has a radius of 8 inches and a volume of 1,024 cubic inches. Use Cavalieri’s Principle to calculate the heig
enot [183]
Remark
All Cavaliere's principle says is that a slanted cylinder (for example) has the same volume as a cylinder with perpendicular parallel lines that the cylinder is sitting on.

I little known or maybe not a well emphasized fact is that the base is the same all the way up the cylinder. The coin picture below shows that. The basic formula for a Cavaliere cylinder is the same as for an ordinary cylinder.

See picture below

Formula
V = B * H 

Sub and Solve
V = 1024
r = 8
p=3.14

V = pi*r^2 * h
1024 = 3.14*8^2 * h    combine the right side.
1024 = 3.14*64 *h       
1024 = 200.96 * h       divide by 200.96
1024/200.96 = h
You are only getting 5 inches.

None of your answers work.The conversion to meters is going to give you an even smaller number. If you add a comment, I'll come back and edit this question.

5 0
3 years ago
In which quadrant does the point (-16, 13) lie?
allsm [11]
Quadrant II is the answer
5 0
3 years ago
Read 2 more answers
What is 2.75 rounded to the nearest hundredth
almond37 [142]
Well first off we need to know how to round or what rounding is. Rounding is the approximation of numbers usually decimals to a approximate cut off number for numbers that are too long or hard to work with/remember. To round a number you simply need to look at the number behind that number whether its a whole number (integer) or a decimal, either one will work. Now continuing on (on) how to round the number, look at the number after it and if it is 5 or above the number rounds up +1 and all numbers behind that turn to 0. For example 3.25500 round to the nearest hundredth, 3.26(000). Now if the number is 4 or smaller then you don't do anything at all (no rounding) and all the numbers after the being rounded number turn to 0's like so, 3.254(0000) rounded to the nearest hundredth, 3.25(00000). So now that we know how to round and what rounding is we need to look at are hundredth place on are number here and see what the next number is after that, in this case it is 0 because there is no stated number there the default next number is 0 like so,
2.750 and because 0 is under 5 we don't do any rounding at all here and just leave it as it is. So 2.75 rounded to the nearest hundredth is 2.75

Enjoy!=)
4 0
3 years ago
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