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Nesterboy [21]
3 years ago
11

An elevator is 2/3 full. The people in the elevator weigh 1/3 ton altogether. How many tons can the elevator carry when it is co

mpletely full?
1/2 ton
2 ton
1 tons
1/6 ton​
Mathematics
1 answer:
dimulka [17.4K]3 years ago
6 0

Answer:

Half of a ton

Step-by-step explanation:

2/3 of the elevator are already full and the elevator already weighs 1/3 of ton.The elevator needs 1/3 more of people to make the elevator full so that would be half of 1/3 of a ton which is a sixth.So add 1/6 and 1/3 together ams you get 1/2.

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20x%20%5Cgeq%20x-12" id="TexFormula1" title="\frac{3}{4} x \geq x-12" al
olganol [36]

Answer

12

3/4=9/x

3x=9(4)

3x=36

x=36/3

x=12

7 0
3 years ago
Pls answer this math problem
ankoles [38]

Answer:

  -5

Step-by-step explanation:

Substituting x=4 into the equation gives a 2-step linear equation in y. It is solved by isolating the variable and making its coefficient be 1.

__

<h3>use x=4</h3>

When x=4, the equation becomes ...

  -3x +9y = -57

  -3(4) +9y = -57

  -12 +9y = -57

<h3>solve 2-step equation</h3>

The <u>first step</u> is to "isolate" the variable term (9y) by adding the opposite of the constant that is on the same side of the equation. The result is that the variable term is by itself on one side of the equal sign.

  -12 +12 +9y = -57 +12 . . . . . add the opposite of -12

  9y = -45 . . . . . . . . . . . . . . simplify

The <u>second step</u> is to make the coefficient of y be 1. We do that by multiplying by its inverse, 1/9. Equivalently, we divide by 9.

  (1/9)(9y) = (1/9)(-45) . . . . multiply by the inverse of 9

  y = -5 . . . . . . simplify

6 0
2 years ago
If the figure shown on the grid below is dilated by a scale factor of
shepuryov [24]

The coordinate of point N after the dilation is N' = (-8/3, 8/3)

<h3>Dilation of coordinates</h3>

Dilation is a transformation technique for changing the size of an object using a scale factor.

Given the coordinate of N from the figure as (-4, 4). If this coordinate point is dilated by a factor of 2/3, then the resulting coordinate will be:

N' = (2/3(-4), 2/3(4))

N' = (-8/3, 8/3)

Hence the coordinate of point N after the dilation is N' = (-8/3, 8/3)

Learn more on scale factor here: brainly.com/question/10253650

#SPJ1

7 0
1 year ago
C Betty rearranged the movies on her shelving unit after a few days. She placed equal numbers of movies on the bottom 3 shelves,
mixas84 [53]

There are total 53 movies on the shelving unit

Step-by-step explanation:

<u>DATA</u>

Equal movies on the bottom 3 shelves: 3x

10 movies on each of the top 2 shelves = 2*10 = 20

<u>Equation:</u>

3x + 20

<u>Question:</u>

Number of movies on the shelving unit if 11 movies are on each bottom 3 shelves: x = 11

<u>Solution:</u>

3x + 20

3(11) + 20 = 33 + 20 = 53

Therefore, there are total 53 movies on the shelving unit; 20 on the top 2 shelves and 33 on the bottom 3 shelves altogether.

Keywords: equation

Learn more about equation at

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5 0
3 years ago
Need help figuring this equation 1/12c =.6
soldi70 [24.7K]
1/12c = 0.6

To remove a fraction you simply multiply it by its inverse fraction (take the original fraction and flip it! So, multiply it by 12/1 (which is the same as saying 12).

12(1/12c) = 0.6*12

The 12 cancels out leaving this: 

c  = 0.6 * 12
c = 7.2

If you don't have or are allowed to use a calculator. To compute that you simply make 0.6 into a fraction then multiply the numerator by 12. .6 is in the tenths place so you can write it like this: 
6/10 simplifying it becomes, 3/5

3/5 * 12 = 36/5

Now! That was assuming 1/12c was written like this: 
(1/12)c = 0.6

If it was actually written like this: 
1/(12c) = 0.6 then you'll do this. 

Multiply 0.6 by 12c. Which will get you 7.2c. After that you need to get c alone, so you divide both sides by 7.2. Yielding the result: 

1/7.2 = c 

c = 0.1389...


5 0
2 years ago
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