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3 years ago

What is the sum of 4/15 + 8| 1/3 ?

Mathematics

1 answer:

stealth61 [152]3 years ago

3 0

Answer:

8 3/5

Step-by-step explanation:

Fractions are added using a common denominator. Here, the denominator 3 is a factor of the denominator 15, so the common denominator can be 15, which is the least common multiple of the two numbers.

The fraction 1/3 is equal to 5/15, found by multiplying by 1 in the form 5/5. Then the sum is ...

4/15 + 8 5/15 = 8 + (4/15 +5/15) = 8 9/15

The fraction 9/15 can be reduced by factoring out 3/3: 9/15 = (3/5)(3/3). Then the reduced mixed number sum is ...

4/15 +8 1/3 = 8 3/5

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Inessa [10]

Step-by-step explanation:

$\sqrt{36} < \sqrt{40} < \sqrt{49}$

So sqrt(40) lies between 6 and 7.

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2 years ago

12-km run. How many miles is the run?

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3 years ago

Read 2 more answers

A map has a scale of 1 centimeter = 40 kilometer. If the distance between Fort Worth and El Paso is 21.7 cm on a map , how many

ryzh [129]

Aloha!
1 centimeter= 40 kilometers
The distance between the cities in centimeters is 21.7
To get the answer into kilometers, you multiply.
So, 21.7 times 40 which is 868 kilometers.
To answer your question, the distance between Fort Worth and El Paso is 868 kilometers.
I hope this helps!
Adios!:)

5 0

3 years ago

PLEASE HELP!!!

pogonyaev

Step-by-step explanation:

Part A:

Let $m$ be the number of mittens and $s$ be the number of scarves. Then we have the inequalities:

$s+m\leq 30.$ This says Nivyana and Ana cannot make more than 30 scarves

$50s+25m\geq 1000.$ This says that Nivyana and Ana have to earn at least $1000.

Part B:

The graph is attached.

Notice that the graphs of the inequalities are solid lines, this just means that the points on these lines included to the solutions of each inequality.

The darker shaded region and the solid lines bounding it, are the solutions to the inequalities because that's where the values common to both inequalities are found.

Part C:

From the graph we get two possible solutions:

15 scarves & 10 mittens

25 scarves & 5 mittens.

These two points lie on the solid lines that bound the darker shaded region (I picked those points to stress that the lines bounding the dark region are also solutions.)