Find the smallest common multiple (PPMC) of 4 and 8:

Blake and Ned work for a home remodeling business. They are putting the final touches on a home they renovated. Working alone, B

gizmo_the_mogwai [7]

Answer: The time taken by both of them if they work together is given by

$3\dfrac{3}{5}\ hours$

Step-by-step explanation:

Since we have given that

Time taken by Blake to paint one room = 9 hours

Time taken by Ned to paint one room = 6 hours

Work done by Blake = $\dfrac{1}{9}$

Work done by Ned = $\dfrac{1}{6}$

Total work done by both of them together is given by

$\dfrac{1}{6}+\dfrac{1}{6}\\\\=\dfrac{3+2}{18}\\\\=\dfrac{5}{18}$

So, the time taken by both of them if they work together is given by

$\dfrac{18}{5}=3\dfrac{3}{5}\ hours$

7 0

4 years ago

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The formula for the volume of a cylinder is V = xi?n. The cylinder to the right has an exact volume of 1440x cubic meters Find

Hunter-Best [27]

Answer:

9

Step-by-step explanation:

3 0

3 years ago

Please help me solve and explain

Anna11 [10]

I would say go with with B

5 0

3 years ago

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Solve each equation you must use

n200080 [17]

1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.

2)The solution for b² - 4b + 4 = 0 is x=2.

<u>Step-by-step explanation</u>:

The general form of quadratic equation is ax²+bx+c = 0

where

a is the coefficient of x².
b is the coefficient of x.
c is the constant term.

<u>To find the roots :</u>

Sum of the roots = b
Product of the roots = c

1) The given quadratic equation is m² - 5m - 14 = 0.

From the above equation, it can be determined that b = -5 and c = -14

The roots are -7 and 2.

Sum of the roots = -7+2 = -5
Product of the roots = -7 $\times$ 2 = -14

The solution is given by (x-7) (x+2) = 0.

Therefore, the solutions are x=7 and x= -2.

2) The given quadratic equation is b² - 4b + 4 = 0.

From the above equation, it can be determined that b = -4 and c = 4

The roots are -2 and -2.

Sum of the roots = -2-2 = -4
Product of the roots = -2 $\times$ -2 = 4

The solution is given by (x-2) (x-2) = 0.

Therefore, the solution is x=2.

5 0

3 years ago

The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A

Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

$V = a \times b \times c \: \rm unit^3$

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

$60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12$

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

$15 \times 3 \times b \times 3 \times c = 135 \times b\times c = 135 \times 12 = 1620 \: \rm cm^3$

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0

3 years ago