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Yuri [45]
2 years ago
6

What is the value of x in the equation 3(2 - x) = 8(x - 2)?

Mathematics
2 answers:
NNADVOKAT [17]2 years ago
7 0

Answer:

2

Step-by-step explanation:

The equation is equal to 6-3x=8x-16. This gives 11x=22. x=2

Juliette [100K]2 years ago
5 0
X=2! hope this helps!!
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Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
HACTEHA [7]

Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.

<u>Solution:</u>

Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,

\Rightarrow0.5\text{ lbs }- 1.5\%

\Rightarrow x+0.5\text{ lbs }- 100\%

On writing the proportion,

\Rightarrow\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\\Rightarrow0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\\Rightarrow50=1.5x+0.75\\ \\\Rightarrow1.5x=50-0.75\\ \\\Rightarrow1.5x=49.25\\ \\\Rightarrow x=\dfrac{49.25}{1.5}\approx 32.833\ lbs

To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of syrup is 33.333 lbs.

7 0
3 years ago
Express -32/243 into power notation​
lesya692 [45]

This problem can take a while if you cannot observer the answer quickly.

First of all we can see that 32=2*2*2*2*2=2^5

243, if you don't know its actually is 3^5

Now we can see that this turns into...

- 2^5/3^5

since the 5th power doesn't change the sign of the original number, we can put the negative in the ( ), if you don't know what I mean look below

(-3)^2=9 Positive

(-3)^3=-27 Negative since its to the odd power it keeps the sign.

This problem can be simplified to.

(-2/3)^5

And this is the answer :D

If you have any questions just put them in the comments.

4 0
3 years ago
Explain why the solution to 3r =2 must be less then 1.
saveliy_v [14]
For this you have to get r by itself so you put 1 over 3 and move it to the other side and then you get 2/3 as an answer
3 0
3 years ago
Explain how to write 3 X3/8 as the product of a whole number and a unit fraction
mars1129 [50]
A unit fraction means that the fraction has 1 in the numerator. To make 3/8 a unit fraction, you have to make it 1/8 by dividing by 3.

So now you have 3 x 3 x 1/8. You can multiply the 3 and 3.

You are left with 9 x 1/8.
6 0
2 years ago
True or False?
oee [108]

Answer:

False

Step-by-step explanation:

y = 2x + 1

Substitute the point (4,3) into the equation and see if it is true

3 = 2(4) +1

3 =8+1

3 =9

This is false, so the point is not a solution

4 0
3 years ago
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