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xeze [42]
2 years ago
12

Is 8 a unique solution to the equation 3(x-6) = 3x/4

Mathematics
2 answers:
ladessa [460]2 years ago
4 0

Answer:

yes

Step-by-step explanation:

3(x - 6) = \frac{3x}{4} ( multiply both sides by 4 to clear the fraction )

12(x - 6) = 3x , distribute left side

12x - 72 = 3x ( subtract 3x from both sides )

9x - 72 = 0 ( add 72 to both sides )

9x = 72 ( divide both sides by 9 )

x = 8

x = 8 is the only solution and is therefore unique

Irina-Kira [14]2 years ago
3 0

Answer:

8

Step-by-step explanation:

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6 0
3 years ago
25 Points!! What is the volume of the prism 1 1/2ft 3 1/2ft 2 1/2 ft? Please answer when you have the time to.
Vladimir79 [104]

Answer:

The first one: 13.125 ft³

The second one: 67.5 ft³

Step-by-step explanation:

For the first one:

The volume of a prism is length x width x height.

So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.

However, you can conver 1/2 to .5, to make it easier to multiply.

So, 3.5 x 2.5 x 1.5 = 13.125

Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3  dimensional.

For the second one, same formula:

Length = 6, width = 2 1/2, and height = 4 1/2

6 x 2.5 x 4.5 = 67.5

Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.

6 0
2 years ago
Read 2 more answers
What effect does changing the function f (x) = 2 sin (x/2)- 1 to the function g(x) = 2 sin (x) - 5 have on the graph of f(x)?
mario62 [17]

Answer:

choice 4 (or D)

Step-by-step explanation:

1) the initial argument (x/2) and the final one (x) shows horizontal compression of the given function;

2) the different between (-1) and (-5) is (-4); it means shifting down 4 units;

3) the correct answer is: t<u>he graph is compressed horizontally by a factor 2 and shifted down 4 units</u>.

7 0
3 years ago
How do you write 5.0 × 102 in standard form?
Citrus2011 [14]
The answer should be 510
8 0
2 years ago
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1) Each student has 2 shoes. How many shoes are there for 8 students?
Murrr4er [49]
8x2= 16

16 shoes are there for 8 students
8 0
2 years ago
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