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3 years ago

What is the least common multiple of 8 and 12? 24 48 96

Mathematics

2 answers:

Vladimir [108]3 years ago

7 0

Answer: The answer is 24

Step-by-step explanation: One easy way to find least common multiples is to take the large number and multiply it by increasing numbers (1,2,3,etc.) until a number is found that is also divisible by the smaller number.

In this case, we can multiple 12 by increasing numbers until we find a number that is also divisible by 8.

⋅

This is not divisible by 8.

⋅

This is divisible by 8.

⋅

Therefore, the least common multiple is 24.

Anna007 [38]3 years ago

3 0

Answer:

The least common multiple of 8 and 12 is 24

Explanation:

Find and list the multiples each number until the first common multiple is found.

This is the lowest common multiple .

Multiples of 8

8, 16, 24, 32,40

Multiples of 12

12,24, 36,48

Therefore,

LCM of 8 and 12 is 24

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The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the

Naily [24]

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be $1.5r$ .

We will use lateral surface area of pyramid to solve our given problem.

$LSA=2\pi r h$ , where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

$LSA=2\pi r\cdot (1.5)r$

Now we will find the total surface area of cylinder.

$TSA=2\pi r(r+h)$

$TSA=2\pi r(r+1.5r)$

$TSA=2\pi r(2.5r)$

$\frac{TSA}{LSA}=\frac{2\pi r(2.5r)}{2\pi r(1.5r)}$

$\frac{TSA}{LSA}=\frac{2.5r}{1.5r}$

$\frac{TSA}{LSA}=\frac{25}{15}$

$\frac{TSA}{LSA}=\frac{5}{3}$

Therefore, the ratio of total surface area to lateral surface area is $5:3$ .

4 0

3 years ago

I need help with number 15 and 16.How do I find it?

Anton [14]

Find the answer for 15:
462,371 * 10 = 4,623,710
(millions place)

Find the answer for 16:
How many hundreds to make a thousand?
10! because 371 * 10 = 3,710
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3 years ago

I’m struggling with my homework someone help me please

Sonbull [250]

Answer:

Step-by-step explanation:

$398/4= $99.50 Unit Price

x=pairs of sunglasses

C=Cost

Cost=99.50x4=$398

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3 years ago

The angles in a triangle are represented by 5x, 8x, and 2x+9. What is the value of ?

Dominik [7]

Answer:

B.11.4

Step-by-step explanation:

The sum the 3 angles of a triangle add to 180 degrees

5x+8x+2x+9 = 180

15x+9 =180

Subtract 9 from each side

15x+9-9 =180-9

15x = 171

Divide by 15

15x/15 =171/15

x =11.4

3 0

3 years ago

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A metalworker has a metal alloy that is 25% copper and another alloy that is 75% copper. How many kilograms of each alloy should

ivolga24 [154]

x = amount of the first alloy

y = amount of the second alloy

we know the first alloy is 25% copper, so then there is (25/100) * x of copper in it, namely 0.25x.

likewise, we know the second alloy is 75% copper so then there is (75/100) * y of copper or 0.75y.

he needs a 60 kgs mixture that 65% copper, or (65/100) * 60 = 39.

$\bf \begin{array}{lcccl} &\stackrel{kgs}{quantity}&\stackrel{\textit{\% of }}{copper}&\stackrel{\textit{kgs of }}{copper}\\ \cline{2-4}&\\ \textit{first Alloy}&x&0.25&0.25x\\ \textit{second Alloy}&y&0.75&0.75y\\ \cline{2-4}&\\ mixture&60&0.65&39 \end{array}~\hfill \begin{cases} x+y=60\\ \boxed{y}=60-x\\ \cline{1-1} 0.25x+0.75y=39 \end{cases}$

$\bf \stackrel{\textit{substituting in the 2nd equation}}{0.25x+0.75\left( \boxed{60-x} \right)}=39\implies 0.25x+45-0.75x=39 \\\\\\ -0.50x+45=39\implies -0.5x=-6\implies x=\cfrac{-6}{-0.5}\implies \blacktriangleright x = 12 \blacktriangleleft \\\\\\ \stackrel{\textit{since we know that}}{y=60-x}\implies y=60-12\implies \blacktriangleright y=48 \blacktriangleleft$

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3 years ago

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