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2 years ago

Benjamin writes an expression for the sum of 1 cubed, 2 cubed and 3 cubed. What is the value of the expression?

1 answer:

8 0

So the "sum" means to add all of the terms: 1³ + 2³ + 3³

1³ is simply 1
2³ is 8
3³ is 27

so, from there, you just add all of those terms: 1 + 8 + 27 = 36

You might be interested in

Multiple 7/9 to the sum of 8 3/7 and 5 11/14

Brums [2.3K]

$\frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) = \\$

$\frac{7}{9} \times (8 \frac{6}{14} + 5 \frac{11}{14} ) = \\$

$\frac{7}{9} \times (13 \frac{6 + 11}{14}) = \\$

$\frac{7}{9} \times (13 \frac{17}{14}) = \\$

$\frac{7}{9} \times (14 \frac{3}{14}) = \\$

$\frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) = \\$

$\frac{7}{9} \times ( \frac{42 + 3}{14}) = \\$

$\frac{7}{9} \times ( \frac{45}{14}) = \frac{7 \times 45}{9 \times 14} = \frac{5}{2} \\$

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And we're done.

Thanks for watching buddy good luck.

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4 0

2 years ago

Read 2 more answers

From home, Mary’s work is two thirds along the way to training. Training is 2.5km from work. Mary normally goes to work, then tr

polet [3.4K]

First thing to do is to illustrate the problem, Since it was mentioned that work was along the way to training, the order is shown in the picture. Mary's home and workplace are nearer compared to her training center. It is also mentioned that the distance between work and home, denoted as x, is 2/3 of the total distance from home to training. The total distance is (x + 2.5). Thus,

x = 2/3(x+2.5)
x = 2/3 x + 5/3
1/3 x = 5/3
x = 5 km

Thus, the distance from home to work is 5 km. This means that Mary has to walk this distance twice to return home to get her shoes. Then, she will travel again the total distance of 5+2.5 = 7.5 km to get to her training center. So,

Total distance = 2(5km) + 7.5 km
Total distance = 17.5 km

3 0

1 year ago

It shipped traveled for a total of 85 miles over the course of five hours heading west the ship travels and average of 14 mph an

adoni [48]

complete question:

A ship traveled for a total of 85 miles over the course of 5 hours. Heading west, the ship traveled at an average speed of 14 miles per hour, and heading north, it traveled at an average speed of 19 miles per hour. For how many hours was the ship heading north?

Answer:

The ship heading north traveled for 3 hours

Step-by-step explanation:

A ship travels for a total of 85 miles over the course of 5 hours journey. The speed of the journey can be calculated below.

speed = distance/time

total distance = 85

total time = 5 hours

speed = 85/5

speed = 17 miles/hr

West direction

Heading west the ship traveled at an average speed of 14 miles per hour. The speed can be represented for this journey as follows.

speed = distance/time

14 = dist/time

let

a = time traveled west

distance = 14a

North direction

speed = dist/time

19 = dist/time

time travel north = 5 - a

distance = 19(5 - a)

distance = 95 - 19a

Total distance traveled = 85 miles

85 = 14a + 95 - 19a

85 = -5a + 95

-10 = -5a

a = -10/-5

a = 2

The ship heading north will travel for 5 - 2 = 3 hours

5 0

2 years ago

Read 2 more answers

Sarah and her friends are going blueberry picking. Sarah picks $b$ blueberries. Michael picks $3$ more than half as many as Sara

yKpoI14uk [10]

The correct answer is b=3+1/2 divided by 5+3 after that +10-3*5*3 . add the answers up and thats the solution

6 0

1 year ago

Maria started her business with $50 in her bank account. At the end of the month, she had +$60 in her account in addition to the

Sladkaya [172]

In the original statement, it says 'in addition to the initial $50' meaning that you're adding $50+$60. The correct answer would be: She gained $60.

5 0

1 year ago