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mr Goodwill [35]
3 years ago
11

A bottle holds 5/12 gallon of water. How many bottles can be filled with 2 1/4 gallons of water?

Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

Answer: 0.185 gallons

Step-by-step explanation:

Divide 5/12 by 2 1/4

First convert the improper fraction to a proper fraction, 2 1/4 = 9/4

5/12 ÷ 9/4

= 5/12 × 4/9

= 5/27 = 0.185

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pshichka [43]

Hello from MrBillDoesMath!

Answer:

y = 2x - 3

Discussion:

2x - y = 3  =>                  add "y" to both sides

2x - y + y = 3 + y =>        as -y+y = 0

2x = 3 + y    =>                subtract 3 from each side of the equation      

2x-3 = y


Thank you,

MrB

4 0
3 years ago
Is the point (1, -3) a solution to the system? Show all work
Studentka2010 [4]

Answer:

The point P(1,-3) is not a solution to the system.

Step-by-step explanation:

Given  \left \{ {{y-x+2}} \right.  

Let a point be P(1,-3)

Here x = 1 ; y = -3

Substituting the values of x,y in the function

\left \{ {{y-x+2}} \right.

For y<x-1

-3 < 1-1

-3<0 (True)

now for,

y>-x+2

-3 > -1 + 2

-3 > 1 (False)

Hence the point is not a solution to the system.

6 0
3 years ago
The average age of online consumers a few years ago was 24.1 years. As older individuals gain confidence with the​ Internet, it
love history [14]

Answer:

The correct option is (C).

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

Whereas the alternative hypothesis is a contradicting statement tot he null hypothesis. It is denoted by Hₐ.

In this case we need to test whether the average age of online consumers has increased or not.

From previous data we know that the average age of online consumers a few years ago was 24.1 years.

A one-sample mean test can be used to determine whether the mean age has increased or not.

The hypothesis for the test can be defined as follows:

<em>H₀</em>: The average age of online consumers is 24.1 years, i.e. <em>μ</em> = 24.1.

<em>Hₐ</em>: The average age of online consumers is more than 24.1 years, i.e. <em>μ</em> > 24.1.

Thus, the correct option is (C).

6 0
3 years ago
Consider the system of equations:
vodka [1.7K]

Answer:

(x, y) = (5, 1)

Step-by-step explanation:

To <em>eliminate</em> x, you can double the second equation and subtract the first.

... 2(x +4y) -(2x -3y) = 2(9) -(7)

...11y = 11 . . . . . simplify

... y = 1 . . . . . . divide by 11

Using the second equation to find x, we have ...

... x + 4·1 = 9

... x = 5 . . . . . subtract 4

_____

<u>Check</u>

2·5 -3·1 = 10 -3 = 7 . . . . agrees with the first equation

(Since we used the second equation to find x, we know it will check.)

5 0
3 years ago
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At the beginning of the year, 40% of the students at the art club were boys. In the middle of the year, 25% of the girls left bu
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Answer:

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Step-by-step explanation:

jjhjvjedkfac

8 0
3 years ago
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