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Vera_Pavlovna [14]
3 years ago
15

Sarah completes 1/6 of a project in 1/4 of an hour at this rate how much of the project does Sarah complete per hour? Sarah comp

letes blank of the project per hour.
Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0

Answer:

2/3

Step-by-step explanation:

Time it would take Sarah to complete the work in one hour = work completed in 1/4 hours x 4

We are multiplying by 4 because there are 4, 1/4 in an hour

1/4 + 1/4 + 1/4 + 1/4 = 1 hour

\frac{1}{6} × 4 = \frac{4}{6}

To transform to the simplest form. divide both the numerator and the denominator by 2

= \frac{2}{3}

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Write the rule of the transformation
Ratling [72]

Answer:

(x + 5, y + 1)

Step-by-step explanation:

As we can see, what we have is a translation

let us pick a point

G( -5,-2)

To;

G’(0,-1)

so the shift on the x-axis is;

(0-(-5)) = 5

shift on the y-axis is;

(-1-(-2) = 1

we have a rightward shift of 5 units on the x-axis and 1 unit on the y-axis

So we have the rule as;

(x + 5, y + 1)

3 0
3 years ago
22. A storage container is shaped like a rectangular prism. The volume of the container is1,360 cubic feet. The area of the base
Dovator [93]

The volume of the rectangular prism is

V=B\times H

Where:

B is the base area

H is the height

Since the base area is 160 feet^2

Since the volume is 1360 feet^3

Substitute them in the rule above

\begin{gathered} 1360=160\times H \\ 1360=160H \end{gathered}

Divide both sides by 160 to find H

\begin{gathered} \frac{1360}{160}=\frac{160H}{160} \\ 8.5=H \end{gathered}

The height of the container is 8.5 feet

4 0
1 year ago
A cylinder has a volume of 140 x cubic meters and a height of 14 meters. What is the area of the base?
AleksandrR [38]

Answer: I think it's a

Step-by-step explanation:

6 0
3 years ago
Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one.
azamat
To solve this problem you must apply the proccedure shown below:

 1. You have the following information given in the problem above:

 -  The<span> room has square dimensions and it has been built with two pieces of sheetrock, a smaller one and a larger one.

 2. Therefore, let's call

 x: the smaller one.
 y: the larger one.

 3. Then, you have that the lenght of the wall is the sum of the smaller one and the larger one:

 x+y

 4. So, the area of the room is:

 (x+y)(x+y)
 (x+y)</span>²

 Therefore, the answer is: (x+y)²
8 0
3 years ago
Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calcula
jasenka [17]

Answer:

The value of x is 3.

Step-by-step explanation:

Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.

Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:

\frac{5}{5 + 2 + x} = \frac{5}{7 + x}

Both fractions are equal, so:

\frac{5}{7 + x} = \frac{1}{2}

Applying cross multiplication:

7 + x = 10

x = 10 - 7

x = 3

The value of x is 3.

5 0
3 years ago
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