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3 years ago

What is the least common multiple of 8, 7, and 2?

Mathematics

2 answers:

Talja [164]3 years ago

7 0

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 2 shows:

2 is prime => 21

Prime Factorization of 7 shows:

7 is prime => 71

Prime Factorization of 8 is:

2 x 2 x 2 => 23

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 2, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 7 = 56

In exponential form:

LCM = 2^3 x 7^1 = 56

LCM = 56

Therefore,

LCM(2, 7, 8) = 56

fiasKO [112]3 years ago

4 0

Answer:

1 i know its one hope it help

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What is 13/20 written as a decimal?

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3 years ago

If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height

german

Answer:

$Time = 7.5\ seconds$

Step-by-step explanation:

Given

$Equation:\ h(t) = -16t^2 + 120t$

$Initial\ Velocity = 160ft/s$

Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

$h(t) = -16t^2 + 120t$

becomes

$0 = -16t^2 + 120t$

Solve for t in the above equation

$-16t^2 + 120t = 0$

Factorize the above expression

$-4t(4t - 30) = 0$

Split the expression to 2

$-4t = 0\ or\ 4t - 30 = 0$

Solving the first expression

$-4t = 0$

Divide both sides by -4

$\frac{-4t}{-4} = \frac{0}{-4}$

$t = \frac{0}{-4}$

$t =0$

Solving the second expression

$4t - 30 = 0$

Add 30 to both sides

$4t - 30+30 = 0+30$

$4t = 30$

Divide both sides by 4

$\frac{4t}{4} = \frac{30}{4}$

$t = \frac{30}{4}$

$t = 7.5$

Hence, the values of t are:

$t =0$ and $t = 7.5$

$t =0$ shows the time before the launching the rocket

while

$t = 7.5$ shows the time after the rocket returns to the floor

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2 years ago

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A
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3 years ago

4. Ideal amount of children

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Answer:

Step-by-step explanation:

Formula:

$\frac{sum of all numbers added together}{total amount of numbers}$

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2 years ago

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Katen [24]

Answer:

1/10

Step-by-step explanation:

1/10 is the answer bc he gave his friend 100/1000 simplified form 1/10

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2 years ago