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hichkok12 [17]
3 years ago
11

What fraction makes this division sentence true? 2/3 divided by ? = 4

Mathematics
1 answer:
NeX [460]3 years ago
6 0

Answer:

1/6

Step-by-step explanation:

The opposite of dividing by a fraction is multiplying by the inverse of the fraction. So, to find out what fraction to divide by you need to find what number you need to multiply 2/3 by to get 4.

2/3 x 6 = 4

So if you want to divide instead of multiply, just find the inverse of the number you are multiplying by.

The inverse of 6 is 1/6. Therefore, 2/3 divided by 1/6 equals 4.

(2/3)/(1/6) = 4

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Step-by-step explanation:

The other ones are false claims

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a small box in the shape of a cube has a length of 5 inches. how many cubic inches will the box hold?
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Problem PageQuestion It takes an older pump twice as long to drain a certain pool as it does a newer pump. Working together, it
umka2103 [35]

Answer:

It will take 6 hours for the new pump to drain the pool.

Step-by-step explanation:

As the complete question is not given, the complete question is found online and is attached herewith

Let the rate of new pump is given as x=W/t_1

Let the rate of the old pump is given as y=W/t_2

it is given that the time t_2=2t_1

So by substituting the values of t_2 in the rate equation of y

y=W/2t_1

y=(W/t_1*2)=x/2

Also the total rate of both the pumps is given as W/t3 where t3 is given as 4 hours so the equation becomes

x+y=W/4

x+x/2=W/4

3x/2=W/4

As x=W/t_1

3W/2t_1=W/4

Now as W is same on both sides so

3/2t_1=1/4

12=2t_1

t_1=6 hours

So it will take 6 hours for the new pump to drain the pool.

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Statistics Question. Use the Desmos graphing calculator to find the least-squares regression line for the dataset in the table:
Soloha48 [4]

Given:

The table of values.

To find:

The least-squares regression line for the data set in the table by using the desmos graphing calculator.

Solution:

The general form of least-squares regression line is:

\hat{y}=mx+b           ...(i)

Where, m is the slope and b is the y-intercept.

By using the desmos graphing calculator, we get

m\approx 2.55,b\approx -6.435

Substitute these values in (i).

\hat{y}=(2.55)x+(-6.435)

\hat{y}=2.55x-6.435

Therefore, the correct option is A.

8 0
2 years ago
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