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3 years ago

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 1 and 24 respectively

Number of rocks and fossils collected by your friend is 3 and 12 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

Hope this help you! :)

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

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

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

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

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

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

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

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

$Area = \frac{81.738}{6}$

$Area = 13.623$

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

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