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2 years ago

How to find the least common multiple of 56 and 12 using prime factorization?

Mathematics

1 answer:

marta [7]2 years ago

4 0

He least common multiple would be 8 times 7.

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6.Madeline made the wooden steps shown. What is the volume of the steps? The wooden steps have two parts, both of which are rect

Lelu [443]

Answer:

840 cubic inches

Step-by-step explanation:

Given:

The wooden steps have two parts.

Both of which are rectangular prisms.

The top part is 6 inches tall, 5 inches wide and 10 inches long.

The bottom part is 6 inches tall, 9 inches wide and 10 inches long.

Question asked:

What is the volume of the steps?

Solution:

For top part

Length = 10 inches

Width = 5 inches

Height = 6 inches

As we know:

$Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times5\times6=300\ cubic\ inches$

For bottom part

Length = 10 inches

Width = 9 inches

Height = 6 inches

Similarly

$Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times9\times6=540\ cubic\ inches$

Volume of two steps = 300 + 540 = 840 cubic inches

Therefore, the volume of the steps are 840 cubic inches.

8 0

3 years ago

What is the smallest, positive integer value of x such that the value of f(x) = 2x + 3 exceeds the value of g(x) = 50x + 5?

weeeeeb [17]

F(x) > g(x)
2^x + 3 > 50x + 5

for x = 3 , f(3) > g(3)
11 > 155 (false)

for x = 10 , f(10) > g(10)
1027 > 505 (true)

for x = 9 , f(9) > g(9)
515 > 455 (true)

for x = 8 , f(8) > g(8)
259 > 405 (false)

the smallest,positive integer value of x is 9 since the value of 9 is the last number to exceeds g(x)

7 0

2 years ago

Which of these constructions is impossible using only a compass and straightedge

mariarad [96]

Answer:

neko...

Step-by-step explanation:

4 0

2 years ago

When the mountain was last measured, its height was 3,570 meters. Now it is 3,927 meters. What is the percent of increase in the

Elina [12.6K]

Answer:

110%

Step-by-step explanation:

3,927/3,570

=1.1

=110%

6 0

3 years ago

Which of the expressions below are equivalent? 8x - 4 4x 4(2x - 1)

alexandr402 [8]

8x-4 and 4(2x-1)

4(2x-1) the four needs to be distributed in the parentheses.

4*2x=8x
4*(-1)=(-4)

8x-4=8x-4

4 0

2 years ago