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Blizzard [7]
4 years ago
12

Write 9/12 as a sum of unit fractions

Mathematics
2 answers:
Readme [11.4K]4 years ago
4 0
Unit fractions are rational number with 1 as the numerator and the denominator as a positive integer. For example, 1/2 or 1/8.

\frac{1}{2} +  \frac{1}{3} =  \frac{9}{12} 

( \frac{1}{2}* \frac{6}{6} ) + ( \frac{1}{4}* \frac{6}{3} )

Arlecino [84]4 years ago
4 0

Answer:

\frac{1}{2} +\frac{1}{4} =\frac{9}{12}

Step-by-step explanation:

The unit fractions have a one in the numerator, in this case we need two unit fractions that when we sum them we get 9/12.

I will use the fractions 1/2 and 1/4, because when we sum them we get:

\frac{1}{2} +\frac{1}{4} =\frac{6}{12} +\frac{3}{12} =\frac{6+3}{12} =\frac{9}{12}

the result is the \frac{9}{12} that we are asked for.

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Answer:

20 mi

Step-by-step explanation:

to the nearest 10th

7 0
4 years ago
Oscar bought some markers, notebooks, and packs of sticky notes for his office. He bought the same number of markers as notebook
Veseljchak [2.6K]

Using a system of equations, it is found that Oscar bought 6 markers, 6 notebooks and 15 packs of sticky notes.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Number of markers.
  • Variable y: Number of notebooks.
  • Variable z: Number of packs of notes.

He bought the same number of markers as notebooks, hence:

x = y.

He bought three more packs of sticky notes than markers and notebooks combined, hence:

z = 3 + x + y

z = 3 + 2x.

He paid $1.05 for each marker, $2.25 for each notebook, and the packs of sticky notes were $1.95. He spent $49.05 in total, hence:

1.05x + 2.25y + 1.95z = 49.05.

Then:

1.05x + 2.25x + 1.95(3 + 2x) = 49.05.

7.2x = 43.2

x = 43.2/7.2

x = 6.

The amounts are as follows:

  • y = 6.
  • z = 3 + 2(6) = 15.

He bought 6 markers, 6 notebooks and 15 packs of sticky notes.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0
2 years ago
What’s the supplement of 28.5
Lana71 [14]
Supplementary angles add to 180

28.5+x=180
x=151.5

Final answer: 151.5
4 0
4 years ago
PARK is a parallelogram. Find the value of x.
jekas [21]

Answer: 40

Step-by-step explanation:

8 0
3 years ago
Stephanie grew a total of 70 pounds of tomatoes to sell. She plans to sell the tomatoes for $3.50 per pound. The equation below
Alexxandr [17]

Answer:

If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.

Step-by-step explanation:

You know that the equation f(x) = 3.50*x - 110 represents the profit in dollars Stephanie will earn by selling x pounds of the tomatoes.

If Stephanie sold the 70 pounds of tomatoes, you want to know what the profit would be. So to calculate the profit you simply replace in f (x), the x pounds of tomatoes by 70.

f(70)=3.50*70 - 110

Solving:

f(70)= 245 - 110

f(70)= 135

<u><em>If Stephanie sold the 70 pounds of tomatoes, her profit would be 135 dollars.</em></u>

5 0
3 years ago
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