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3 years ago

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Find LCM of 45, 60 & 135 Pls need answers

1 answer:

Darina [25.2K]3 years ago

6 0

Answer:

540

Step-by-step explanation:

The multiples of 45 are 9,3,3,1

The multiples of 60 are 12,4,2,1

The multiples of 135 are 27,9,9,9,3

Therefore the LCM can be calculated as follows

= 5×3×2×2×3×3

= 540

Hence the LCM is 540

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Determine if 3√10 /4 is in simplest form. if the expression is not in simplest form explain why? HELP PLEASE

emmasim [6.3K]

The notation in its current form isn't entirely clear.

Did you mean to write $\frac{3\sqrt{10}}{4}$ ? The 4 isn't in the square root.

If so, then the expression is in simplest form because we cannot simplify $\sqrt{10}$ any further (note how 10 doesn't have any perfect square factors other than 1).

Also, the 3/4 portion is fully reduced already.

------------------------

Or,

Did you mean to write $3\sqrt{\frac{10}{4}}$ ? This time the 4 is inside the square root.

If so, then we can simplify like this

$3\sqrt{\frac{10}{4}}\\\\\frac{3\sqrt{10}}{\sqrt{4}}\\\\\frac{3\sqrt{10}}{2}\\\\$

This means that $3\sqrt{\frac{10}{4}}=\frac{3\sqrt{10}}{2}\\\\$

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2 years ago

Cam has a piece of plywood that is 6 7/8 feet wide. He is going to cut shelves from the plywood that are each 1 1/6 feet wide. W

pogonyaev

Answer:

C.

Step-by-step explanation:

So how I would estimate is by see that each piece is going to be 1 and 1/6 but you have 6 and 7/8 feet of plywood so 1 can go into 6 six times but since you got that 1/6 for each piece is lower it down do about 4, so he can make about four. lol

6 0

2 years ago

Read 2 more answers

11 th grade algebra question 1

Zolol [24]

$\huge \bf༆ Answer ༄$

Here's the solution ~

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:a_{11} × a_{22} - a_{21} × a_{12}$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:(2 \times 4) - ( - 1 \times - 3)$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:8 - 3$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:5$

4 0

2 years ago

Hank’s teacher asked him to verify that the product (y−3)(y2 3y 9) is a difference of cubes. He used the distributive property t

kramer

The value of a is 9, the correct option is B.

Given

Hank’s teacher asked him to verify that the product (y−3)(y2+3y+9), is a difference of cubes.

<h3>Quadratic equation;</h3>

The equation which has the highest degree is 2 is called quadratic equation;

$\rm ax^2+bx+c=0$

Where a, b, and c are the constants.

The given polynomial is;

$\rm (y-3)(y^2+3y+9)$

On multiplying the terms;

$\rm (y-3)(y^2+3y+9)\\\\y(y^2+3y+9)-3(y^2+3y+9)\\\\y^3+3y^2+9y-3y^2-9y-27\\\\$

On comparing;

$\rm ay = 9y\\\\a=9$

Hence, the value of a is 9.

To know more about polynomial click the link is given below.

brainly.com/question/6169816

6 0

2 years ago

Regina has a bag of marbles that contains 3 blue marbles, 4 red marbles, and 5 yellow marbles. She draws one marble, then replac

iVinArrow [24]

Answer:

Possible outcomes=12

$P(\text{Blue marble first})=\frac{1}{4}$

$P(\text{Yellow marble})=\frac{5}{12}$

$P(\text{ Blue then yellow})=\frac{5}{48}$

Step-by-step explanation:

We can see these two events are independent as Regina replaced marble after drawing one marble.

We can find possible outcomes by adding number of blue, red and yellow marbles.

$\text{Possible outcomes}=3+4+5=12$

Let us find probability of getting a blue marble on first draw.

$P(\text{Blue marble})=\frac{3}{(3+4+5)} =\frac{3}{12} =\frac{1}{4}$

Now we will find probability of getting yellow marble.

$P(\text{Yellow marble})=\frac{5}{(3+4+5)} =\frac{5}{12}$

We can find probability of getting a blue marble and then yellow marble by multiplying both probabilities.

$P(\text{ Blue then yellow})=\frac{1}{4}* \frac{5}{12} =\frac{5}{48}$

Therefore, probability of getting a blue marble and then yellow marble is $\frac{5}{48}$ .

6 0

3 years ago

Read 2 more answers