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harkovskaia [24]
3 years ago
5

Find the least common multiple of 15[[m]^[3]] and 12[[b]^[2]] .

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
6 0

Answer:

60m³b²

Step-by-step explanation:

We need to find the least common multiple of 15 m³ and 12 b².

Prime factorization of 15 m³ = 3×5×m³

Prime factorization of 12 b² = 3×2×2×b²

Common = 3×5×m³×2×2×b²

= 60m³b²

So, the least common multiple of 15 m³ and 12 b² is equal to 60m³b².

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You and your friend each collect rocks and fessis your friend collects three times as many roots and half as many fossils as you
n200080 [17]

Answer:

Number of rocks and fossils collected by you is <u>1 and  24</u> respectively

Number of rocks and fossils collected by your friend is <u>3 and 12 </u>respectively

Step-by-step explanation:

Let  the number of Rocks you collect be x

Let  the number of Fossils you collect be y

Then the total number pf objects you collected will be

x + y = 25

x = 25 - y------------------------------(1)

Your friend collects three times as many rocks and half as many fossils as you.

This can be written as

3x + y (1/2) = 15

3x + (y/2) = 15-------------------(2)

Substituting (1) in (2)

3(25 - y) + (y/2) = 15

75 - 3y + (y/2) = 15

Grouping the like terms we get,

75 - 15 = 3y = (y/2)

60 = ( 6y - y /2)

60 x 2 = 6y -y

120 = 5y

y = 120/5

y = 24

Substituting  y value in equation(1) we get

x = 25 - 24

x= 1

y= 24

Friends collects 3 times rock

so collects 3x =3(1) = 3rocks

Also he collects half as many fossils

That is

y/2 = 24/2 = 12 fossils

<u><em>Hope this help you! :)</em></u>

5 0
2 years ago
Evaluate 8^<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D" id="TexFormula1" title="\frac{5}{3}" alt="\frac{5}{3}" align
almond37 [142]

Answer:

Step-by-step explanation:

32 is the correct answer

6 0
2 years ago
Read 2 more answers
to find the area of a trapezoid dylan uses the formula A=1/2 (B1+B2)h the bases have lengths of 3.6 cm and 12 1/3 cm. the height
Artemon [7]

Answer:

It is irrational because it can not be represented as a fraction of two integers

Step-by-step explanation:

Given

B_1 = 3.6

B_2 = 12\frac{1}{3}

H = \sqrt[3]5

Required

Why is the area irrational?

First, we need to calculate the area

Area = \frac{1}{2}(B_1 + B_2) * H

Area = \frac{1}{2}(3.6 + 12\frac{1}{3}) * \sqrt[3]5

Area = \frac{1}{2}(3.6 + \frac{37}{3}) * 17100

Area = \frac{1}{2}(\frac{10.8+37}{3}) * 1.710

Area = \frac{1}{2}(\frac{47.8}{3}) * 1.7100

Area = \frac{47.8}{6} * 1.7100

Area = \frac{47.8* 1.7100}{6}

Area = \frac{81.738}{6}

Area = 13.623

<em>It is irrational because it can not be represented as a fraction of two integers</em>

5 0
2 years ago
Describe how you would create a number line to represent where to plot the following number:
dexar [7]

Answer:

you could make a number line with 11 lines and start at .04 and go to .05 so the 11 lines will be 0.04,0.041,0.042,0.043,0.044,0.045,0.046,0.047,0.048,0.049,0.05

and you could put a dot on 0.043

4 0
3 years ago
Type 8,580 words in 2 hours 45 minutes
Inessa05 [86]
You would average 52 words a minute.

8580 / 165 (60 + 60 + 45) = 52
6 0
2 years ago
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