All categories

3 years ago

What is the least common multiple of 16, 6, and 12?

2 answers:

5 0

6: 6,12,18,24,30,36,42,<u>48</u>,54,60
12: 12,24,36,<u>48</u>
16: 16,32,<u>48</u>

Answer: 48

First you write down all the multiples of 6,12 and 16 then you find the first number that appears in each of the lists of numbers or the one that is the least common multiple.

Aleonysh [2.5K]3 years ago

5 0

16|2
8|2
4|2
2|2
1

6|2
3|3
1

12|2
6|2
3|3
1

$LCM(6,12,16)=2^4\cdot3=16\cdot3=48$

You might be interested in

Find the product:<br> 4 1/2x 5 2/3=?

user100 [1]

Is there supposed to be parentheses?

6 0

3 years ago

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

7 0

3 years ago

Marion flipped a coin three times. What is the probability that exactly two heads appeared?

Readme [11.4K]

Probability of getting heads: 1/2

Probability to get 2 heads out of three tries is: 1/8
Work: 1/2 x 1/2 x 1/2 = 1/8

7 0

3 years ago

How to mulitiply 8.18 times 2.8 don’t understand

schepotkina [342]

Answer:

Multiply it like a normal number.

Step-by-step explanation:

Take the point away in both numbers

line the numbers up and add the zero at the end of 28

multiply

add the decimal point back after solved (3 decimal points)

818

x280

-----------

4 0

3 years ago

A mother invests $7000 in a bank account at the time of her daughter's birth. The interest is 18) compounded quarterly at a rate

Alex

well, from birth to your twentieth birthday that'll just be 20 years, so

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=7000\left(1+\frac{0.08}{4}\right)^{4\cdot 20}\implies A=7000(1.02)^{80}\implies A\approx 34128.07$

5 0

2 years ago