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3 years ago

The least common multiple of 20, 24, and 45 is _____. a) 30 b) 180 c) 360 d) 21,600

Mathematics

2 answers:

MaRussiya [10]3 years ago

8 0

C) 360
because they can all be multiplied to get 360
20 times 18 24 times 15 45 times 8

Novay_Z [31]3 years ago

3 0

Answer:

c)360

Step-by-step explanation:

The least common multiples is the smallest common multiple.

To find the common multiple you have to divide the option given by the numbers: 20, 24, and 45 and result of each operation should be an integer number.

Let's review why answers a) and b) are not common multiple.

Answer a) 30

45 ÷ 30= 1,5 .

1.5 is not integer number ,So, 30 is not multiple of 45.

Answer b)180

180 ÷ 24= 7.5

7.5 is not integer number, So, 180 is not multiple of 24.

c) If you divide 20, 24 and 45 divided 360, the result is an integer.

360÷20=18

360÷24=15

360÷45=8

360 is common multiple of the three numbers. And it is the LCM.

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What is the sum of the first 10 positive integers? A) 55 B) 50 C) 100 D) 95

olga2289 [7]

The correct answer here is A) 55. This is because a positive integer is defined as any number greater than 0 and has no decimals/ fractions in it. Therefore, you would add 1+2+3+4+5+6+7+8+9+10, yielding 55 as your answer.

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2 years ago

Find the surface area of this cube. Be sure to include the correct unit in your answer

alexandr1967 [171]

Answer:

384 inches squared

Step-by-step explanation:

The surface area for one of the sides is 8 x 8 = 64

There are 6 sides so 64 x 6 = 384

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2 years ago

Please i need to get good grades

daser333 [38]

Answer:

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Step-by-step explanation:

angles x and 133 are supplementary, so they add up to 180°

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3 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :) Find the inverse of :

muminat

Answer:

$h^{-1}(x) = \dfrac{5x - 6}{2}$

Step-by-step explanation:

$h(x)= \dfrac{2x + 6}{5}$

(a) Rename h(x) as y

$y = \dfrac{ 2x+ 6}{5}$

(b) Solve for x :

$\begin{array}{rcl}y& = &\dfrac{2x + 6}{5}\\\\5y & = & 2x + 6\\5y - 6 & = & 2x\\x & = & \mathbf{\dfrac{5y - 6}{2}}\end{array}$

(d) Switch x and y

$y = \dfrac{5x -6}{2}$

(e) Rename y as the inverse function

$h^{-1}(x) = \mathbf{\dfrac{5x - 6}{2}}$

The graphs of inverse functions are reflections of each other across the line y = x.

In the diagram, the graph of h⁻¹(x) is the reflection of h(x) about the line y = x.

5 0

2 years ago

Read 2 more answers

Please help quickly as possible please

zheka24 [161]

First we need to establish the fact that angles on a straight line ALWYS add up to 180
So, we solve the equation for x which turns out to be 3
But,were not done. The question asks us to find the value of the angle BOC
so we substitute the value of x into the equation for BOC (which is 6x+29)
And then your answer is 47 degrees

7 0

2 years ago