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Rashid [163]
3 years ago
9

What is 9/12 as a sum of unit fractions

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
4 0
1/12+1/12+1/12+1/12+1/12+1/12+1/12+1/12+1/12=9/12
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If the rectangle below has an area of 40sq. units, what is the area of the triangle?
pshichka [43]

Answer:

The answer is A.

Step-by-step explanation:

Given that the formula of area of triangle is, A = (1/2)×b×h. Then substitute the following values into the formula :

b = 10 units

h = 4 units

A = (1/2)×10×40

= (1/2)×40

= 20 units²

5 0
3 years ago
You have $190 to buy 8 model trains for
lubasha [3.4K]

Answer:

8x; x ≤ $23.75

Step-by-step explanation:

You have to buy 8 trains with 190 dollars. You can't use more money or have more trains.

8x ≤ 190

Divide by 8 on both sides.

x ≤ $23.75 per train

Your welcome!

Kayden Kohl

8th Grade Student

6 0
2 years ago
Officials begin to release water from a full man-made lake at a rate that would empty the lake in 10 weeks, but a river that can
Romashka [77]

Answer:

It takes 20 weeks to empty the lake

Step-by-step explanation:

Some rate, let's call it R_{empty} empties the lake in 10 weeks and a river (with rate R_{river} can fill the lake in 20 weeks. The idea behind the solution of this type of problem is always set the rate to the same units. Let's see this:

R_{empty}=\frac{1\ lake}{10\ weeks} which implies that this rate empties 0.1 of the lake per week, thus, R_{empty}=0.1/week.

Using the same idea, we can obtain that the filling rate of the river is:

R_{river}=\frac{1\ lake}{20\ weeks} = 0.05 /week

Since both rates are acting at the same time, the total rate of flowing water (either in or out the lake) would be given by:

R_{total}=R_{empty}+R_{river}\\R_{total}= -0.1 + 0.05=-0.05/week, which means that the lake is being empty at a rate of -0.05 week and using the rule of three:

\frac{0.05}{1} = \frac{1}{total\ of\ weeks}  \\total\ of\ weeks = \frac{1}{0.05}=\frac{1}{\frac{1}{20} }\\  total\ of\ weeks = 20

Thus, It takes 20 weeks to empty the lake.

5 0
3 years ago
Solve by using the method of elimination(X and Y): 3x+4y=300
Ierofanga [76]

Answer:

x=-4/3y+100

Y=-3/4x+75

Step-by-step explanation:

6 0
3 years ago
What is the average rate of change of f over the interval -4≤x≤5
Ira Lisetskai [31]

The average rate of change over the interval is 2/9

<h3>How to determine the average rate of change?</h3>

The interval is given as:

-4 ≤ x ≤ 5

From the table, we have:

f(5) = 4

f(-4) = 2

The average rate of change is then calculated as:

m = \frac{f(5) - f(-4)}{5 --4}

This gives

m = \frac{4 - 2}{5 +4}

Evaluate

m = \frac{2}{9}

Hence, the average rate of change over the interval is 2/9

Read more about average rate of change at:

brainly.com/question/23715190

#SPJ1

3 0
2 years ago
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