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Leviafan [203]
3 years ago
13

Complete the sentence using one of the words below in 10/6 the 10 is the

Mathematics
1 answer:
Gnoma [55]3 years ago
4 0
The 10 Is The Numerator
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sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project
alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min

So it will take them approximately 51.43 minutes to complete the project together.

8 0
3 years ago
Jamiah bought two 125 ounce bags of flour for baking. He used up 32 ounces of flour to bake a batch of brownies. How much flour
V125BC [204]

Answer: its 218

Step-by-step explanation: you just have to subtract 250 minus 32

7 0
1 year ago
Lester’s car can go 15.4 miles on 1 gallon of gas. How far can he go on 0.7 gallon?
MAVERICK [17]

Answer:

He can go 10.78 miles

Step-by-step explanation:

This problem can be solve by creating a proportion, knowing that 15.4 miles is to one gallon the same as "x" miles (our unknown) is to 0.7 gallons. This can be set in math terms as the equation that relates these two ratios of miles per gallon:

\frac{15.4\,miles}{1\,gallon} =\frac{x }{0.7\,gallon}

and to solve for the unknown number of mile, we multiply both sides of the equation by "0.7 gallon" in order to isolate our unknown:

\frac{15.4\,miles}{1\,gallon} =\frac{x}{0.7\,gallon}\\\frac{15.4\,miles\,*\,0.7\,gallon}{1\,gallon} =x \\x=10.78\,miles

7 0
3 years ago
–3 ÷ 1 = –3 What property is shown in the equation?
Pavlova-9 [17]

It is B identity property of division. Because you are dividing by one and that is a part of what the identity property of division.

5 0
2 years ago
Read 2 more answers
Sole the system by elimination -4x+9y=9 x-3y=-6
Natalka [10]

Answer:

A) -4x + 9y = 9

B) x -3y = -6

We multiply B) by 3

B) 3x -9y = -18 Then add it to A)

A) -4x + 9y = 9

-x = -9

x = 9

9 -3y = -6

3y = 15

y = 5


Step-by-step explanation:


5 0
2 years ago
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