Use the Distributive Property to multiply. 3(2t

If 3 workers can paint a room in 2 hours, then approximately how long does it take 4 workers to paint the same room? Assume the

Olin [163]

It takes 1.5 hours for 4 workers to paint the same room

Solution:

Given that 3 workers can paint a room in 2 hours

To find: Time taken for 4 workers to paint the same room

Assume the time needed to paint the room is inversely proportional to the number of worker

$time $ \propto \frac{1}{\text { number of workers }}\\\\time =k \times \frac{1}{\text { number of workers }}$

Where, "k" is the constant of proportionality

3 workers can paint a room in 2 hours

Substitute number of workers = 3 and time = 2 hours

$time =k \times \frac{1}{\text { number of workers }}\\\\2 = k \times \frac{1}{3}\\\\k = 6$

Therefore,

$\text {time}=6 \times \frac{1}{\text { number of workers }}$

To find time taken for 4 workers to paint the same room, substitute number of workers = 4 in above expression

$time = 6 \times \frac{1}{4} = 1.5$

Thus it takes 1.5 hours for 4 workers to paint the same room

6 0

3 years ago

Read 2 more answers

Will mark brainliest and give 11 points if you give explanation

pshichka [43]

Answer:

both A and E

Step-by-step explanation:

because most of 70% of the water is sea salt and clean water comes from frozen underground.

6 0

3 years ago

Does anyone know this ? i'm stuck.. i'll give you brainliest and 15 points !! pls show work.

insens350 [35]

Answer:

2y+3 is parallel or the same as QR and PS

5 0

3 years ago

Plssss help quick i need it for sum important

Vanyuwa [196]

(a) The product of $(2x-4)\ and\ (3x^2-x+4)$ is calculated to be $=6x^3-14x^2+12x-16$

(b)The product of $(2x-4) \ and\ (3x^2-x+4)\$ is not equal to the product of $(4x-2)\ and\ (3x^2-x+4)$

Step-by-step explanation:

(a)

$(2x-4)(3x^2-x+4)\\\\=(2x.3x^2)+(2x.-x)+(2x.4)+(-4.3x^2)+(-4.-x)+(-4.4)\\\\=6x^3-2x^2+8x-12x^2+4x-16\\\\=6x^3-14x^2+12x-16$

b)

$(4x-2)(3x^2-x+4)\\\\=(4x.3x^2)+(4x.-x)+(4x.4)+(-2.3x^2)+(-2.-x)+(-2.4)\\\\=12x^3-4x^2+16x-6x^2+2x-8\\\\=12x^3-10x^2+18x-8$

The product of $(2x-4) \ and\ (3x^2-x+4)\$ is not equal to the product of $(4x-2)\ and\ (3x^2-x+4)$

7 0

3 years ago

Y= 4/5 x-7 what are the y and x intercepts?

solmaris [256]

The x intercept is (8.75, 0) and y - intercept is (0, -7)

Solution:

Given that we have to find the x and y intercepts

Given equation is:

$y = \frac{4}{5}x - 7$

The x intercept is the point where the line crosses the x axis

The y intercept is the point where the line crosses the y axis

Finding x - intercept:

To find the x-intercept of a given equation, plug in 0 for 'y' and solve for 'x'

Substitute y = 0 in given equation

$0 = \frac{4}{5}x - 7\\\\\frac{4x}{5} = 7\\\\4x = 35\\\\x = \frac{35}{4} = 8.75$

Thus x intercept is (8.75, 0)

Finding y - intercept:

To find the y-intercept, plug 0 in for 'x' and solve for 'y'

Substitute x = 0 in given equation

$y = \frac{4}{5} \times 0 - 7\\\\y = 0 - 7\\\\y = -7$

Thus y - intercept is (0, -7)

7 0

4 years ago

Use the Distributive Property to multiply. 3(2t – 8)