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3 years ago

Find the smallest number which is exactly divisibleby 15 20 and 30

Mathematics

1 answer:

Svetach [21]3 years ago

7 0

Answer:

Step-by-step explanation:

The smallest number that is divisible by 15, 20 , and 30, must have the needed factors of each of these numbers:

15 = 3 * 5

20 = 2 * 2 * 5

30 = 2 * 3 * 5

Then the minimum common factor must have the following factors to satisfy the divisibility of all of the numbers above:

2 * 2 * 3 * 5 = 60

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Solve the equation. x+6=x

Daniel [21]

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3 years ago

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A prism with a triangular base has a volume of 432 cubic feet. The height of the prism is 8

Rashid [163]

Answer:

9 feet

Step-by-step explanation:

Given:

A prism with a triangular base has a volume of 432 cubic feet.

The height of the prism is 8.

The triangle base has a base of 12 feet.

Question asked:

The height of the triangular base of the prism = ?

solution:

Volume of triangular prism = $Area of triangle \times height$

$432 = Area of triangle \times8$

Dividing both side by 8

$54 = Area of triangle$

$54 =$ $\frac{1}{2} \times base \times height$

$54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height$

Multiplying both side by 2

$108 = 12 \times height$

Dividing both side by 12

$9 = height$

Thus, height of the triangular base of the prism is 9

3 0

3 years ago

A rectangle has a length of (x + 4) centimeters and a width of 12x centimeters. If the perimeter is 26 centimeters, what is the

STALIN [3.7K]

Answer:

The width of rectangle is $W=\frac{108}{13}\ cm$ or $8\frac{4}{13}\ cm$

Step-by-step explanation:

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$P=26\ cm\\L=(x+4)\ cm\\W=12x\ cm$

substitute

$26=2(x+4+12x)$

solve for x

$26=2(13x+4)$

$26=26x+8$

$26x=26-8$

$26x=18$

$x=\frac{18}{26}$

simplify

$x=\frac{9}{13}$

<em>Find the width of rectangle</em>

$W=12x\ cm$

substitute the value of x

$W=12(\frac{9}{13})=\frac{108}{13}\ cm$

Convert to mixed number

$\frac{108}{13}\ cm=\frac{104}{13}+\frac{4}{13}=8\frac{4}{13}\ cm$

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3 years ago

A bag contains 15 red candies, 15 yellow candies, and 15 blue candies. What is the probability of randomly

masya89 [10]

$|\Omega|=45\cdot44=1980\\|A|=15\cdot14\cdot3=630\\\\P(A)=\dfrac{630}{1980}=\dfrac{7}{22}\approx31.8\%$

6 0

2 years ago

Help me please I don't know how to do this.

djyliett [7]

Hey there.

If the decimal point is .500 and up, we will be rounding up. If it is .499 and lower, we will be rounding down.
Now let’s look at the numbers.
2.500 g can be rounded up, so we’ll make that 3.000 g.
5.000 g is going to stay the same, since the decimal point is .000
2.268 g will be rounded down, making it 2.000 g
5.670 will be rounded up and will become 6.000 g
And finally, 11.340 g will be rounded down to 11.000 g.

Hope this helps!

3 0

3 years ago

Find the smallest number which is exactly divisibleby 15 20 and 30​

Find the smallest number which is exactly divisibleby 15 20 and 30