Answer:
7 hours 30min
Step-by-step explanation:
Step one :
Given data
We are told that Erica can paint 1 room in 5hours
Her work rate is 1/5 room per hour
And also with the assistance of her friend they can paint 1 room in 3 hours
Hence their combined work rate is 1/3 room per hour
Step two
The combined work expression is
1/A+1/B=1/T
Where A=Erica's work rate
B=Rachael's work rate
T=combined work
1/5+1/B=1/3
1/B=1/3-1/5
1/B=5-3/15
1/B=2/15
B=15/2
B=7.5 hours
It will take Rachel 7 hours 30min to paint the room
Answer:
m=2 and b=-8
Step-by-step explanation:
This equation is organized in slope-intercept form, y=mx+b. In this form, m is the slope and b is the y-intercept.
When given the equation, y=2x-8, we can see that 2 is in the place of m and -8 is in the place of b. The reason the y-intercept isn't 8 is that y=2x-8 can be written as y=2x+(-8) since y=mx+b involves addition. Therefore, the slope is 2 and the y-intercept is -8.
m=2 and b=-8
I hope this helps!
Answer:
c
Step-by-step explanation:
Since we have the 2.1 next to the parenthesis, we need to first distribute.
2.1 * x & 2.1 * 5
2.1x + 10.5
Then we take that and add the equals seven to the problem to move onto the next step.
2.1x + 10.5 = 7
We must get the 2.1x alone, therefore subtracting the 10.5 as it will also be subtracted on the other side as well.
2.1x + 10.5 = 7
- 10.5 -10.5
2.1x = -3.5
To get the x alone, we must divide both sides by 2.1, therefore removing the 2.1 from the x.
2.1x = -3.5
/2.1 /2.1
x = 1.66666666667
Hope this helped!
- Kat
