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statuscvo [17]
3 years ago
12

Factor 125x^3-1000. Show your work.

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0

The left term is (5x)³.

The right term is 10³.

So, you can use the formula for the factorization of the difference of cubes.

... a³ - b³ = (a-b)(a² +ab +b²)

Here, you have a=5x, b=10, so the factorization is

... 125x³ -1000 = (5x-10)(25x² +50x +100)

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Which unit rate corresponds to the proportional relationship shown in the graph? (8,10) (0,0)
shepuryov [24]
To find the unit rate, use the formula \frac{y_2 - y_1}{x_2 - x_1}. Thus, the slope is 10/8 = 5/4 
8 0
3 years ago
Students in a cooking class made 4 1 2 quarts of soup. They served 4 5 of the soup to friends. Each serving is 3 5 quart. Hector
WINSTONCH [101]

The correct number of servings would be = 12/25

<h3>What is a cooking class?</h3>

A cooking class is defined as the class that is made up of students that are being thought how to prepare and serve different types of food.

The total amount of quarts of food made by the students = 4½.

The number of servings to friends = ⅘

The quantity of quarts in each serving = ⅗ quarts

Total number of quarts served = ⅘ × ⅗= 12/25

The correct number of servings = 12/25

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3 0
1 year ago
Malcolm ran the 440-yard and the 220-yard dash at a track meet.There are 3 in one yard. How many total feet did Malcolm run?Esti
Tresset [83]

For this case we have the following conversions:

1 yard = 3 feet

The estimate distance Is:

400yd = 1200feet

200yd=600 feet

Ten, the estimate Is:

1200 + 600 = 1800 feet

The real distance Is:

The total distance in yards is given by:

440 + 220 = 660 yd

Then, let's transform this distance to feet, with the given conversion:

660 * 3 = 1980 feet

The distance traveled is reasonable for a person

Comparing the estimate and the actual answer, the distance malcom Ran Is reasonable.

Answer:

Malcolm ran 1980 feet.

The distance is reasonable.

5 0
3 years ago
Read 2 more answers
How long will it take $50,000 take to double if it is compounded continuously at
asambeis [7]

Answer:

it would take about 11 to 13 days

Step-by-step explanation:

3 0
3 years ago
71,235.3 rounded to the nearest ten thousand.​
Basile [38]

Answer:

Step-by-step explanation:

the nearest 10 thousandth position is 7. So rounded to the nearest 10000 would by 70000.

Why?

Because the 1 is less than 5 and that does does not alter the 7 in any way.

7 0
3 years ago
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