Ask question

Ask question

All categories

ICE Princess25 [194]

3 years ago

15

"joins" "together" Brad paints a house in 5 days. When his brother Nick joins him, they can paint a house in 3 days. How long do

es it take Nick to paint the house alone

1 answer:

Brilliant_brown [7]3 years ago

4 0

Answer:

7.5 days.

Step-by-step explanation:

Let t represent time taken by Nick in days to paint the house alone.

Part of house painted by Nick in 1 day would be $\frac{1}{t}$ .

We have been given that Brad paints a house in 5 days, so part of house painted by Brad in 1 day would be $\frac{1}{5}$ .

We are also told that when Brad's brother Nick joins him, they can paint a house in 3 days. So part of house painted by both Brad and Nick together in 1 day would be $\frac{1}{3}$ .

Now, we will equate sum of work done by both brothers with $\frac{1}{3}$ to solve for t as:

$\frac{1}{t}+\frac{1}{5}=\frac{1}{3}$

$\frac{1}{t}\times 15t+\frac{1}{5}\times 15t=\frac{1}{3}\times 15t$

$15+3t=5t$

$15+3t-3t=5t-3t$

$15=2t$

$2t=15$

$\frac{2t}{2}=\frac{15}{2}$

$t=7.5$

Therefore, it will take 7.5 days for the Nick to paint the house alone.

You might be interested in

Solve The Following System of equations by graphing<br><br>3x + y = 5<br>x - 4y = 32

Nostrana [21]

first you convert to slope intercept form

3x+y = 5 is the same as y = -3x+5

x - 4y = 32 is the same as y = 4x-8

then you graph

(starting with the y-intercepts as your first points)

the point where the two lines intercept is your solution.

5 0

3 years ago

Please help with my geometry

erma4kov [3.2K]

25 = hypothenuse
14 = opposite
Use SOHCAHTOA
Give O and H, you can use sin
Sin^-1 = 14/25 = 34.0557
Round to hundreds
Solution: 34.06

8 0

3 years ago

What is the equivalent of 48 ft. in yd.?

mafiozo [28]

The equivalent of 48ft is 4 yards.

7 0

3 years ago

Read 2 more answers

Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and

jenyasd209 [6]

Equation of a line is $x+3y =-3$ .

<h3>What is a perpendicular bisector of the line segment?</h3>

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Given that,

Endpoints of the line segment are ( $x_{1},y_{1}$ ) = (4, 1) and ( $x_{2},y_{2}$ ) = (2, -5).

First find the midpoints of the given line segment.

M = $\left(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2}\Right)$

= $\left(\frac{4+2 }{2},\frac{1-5 }{2}\Right)$

M = $(3,-2)$

Now, Find the slope of the line :

It is perpendicular to the line with (4,1) and (2,-5)

Slope between ( $x_{1},y_{1}$ ) and ( $x_{2},y_{2}$ ) = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

so,

the slope between (4,1) and (2,-5) = $\frac{-5-1 }{2-4 }$

= 3

perpendicular lines have slopes the multiply to get -1

3 times m=-1

m= $\frac{-1}{3}$

The equation of a line that has a slope of m and passes through the midpoints M(3,-2) is

$y-y_{1} =m(x-x_{1} )$

$y-(-2) =\frac{-1}{3} (x-3 )$

$(y+2) =\frac{-1}{3} (x-3 )$

if we want slope intercept form

$(y+2) =\frac{-1}{3} x+1$

$y= \frac{-1}{3} x-1$

If we want standard form

$\frac{1}{3} x+y = -1$

$x+3y =-3$

Hence, Equation of a line is $x+3y =-3$ .

To learn more about perpendicular bisector of the line segment from the given link:

brainly.com/question/4428422

#SPJ4

7 0

1 year ago

AlladinOne [14]

step by step explanation:

$\mathfrak{x}^{2}+{y}^{2}+16=0$

=[x2+16=0x26]

=[2x{y}^2{16}~0]

=[4×{y}^0{16}]

=[32x{y}^x]

5 0

3 years ago