Answer:
1 hour and 42.8 minutes
Step-by-step explanation:
To answer this question let's call 
while it takes Jenna to clean the gutters
Let's call 
while it takes John to clean the gutters
h
h
t = total time
g = job = 1 (clean the gutters)
The speed of each one is:
g/ h
g/h
So:
h
Then, both together paint 
of gutters for each hour.
This means that it takes 
hours to clean the gutters together
Finally cleaning together takes 1,714 hours or also
1 hour and 42.8 minutes
Answer:
Volume of the cone = 
Step-by-step explanation:
Radius of the cone = 
Height of the cone = 
Volume of a cone is:
The Volume of the cone is :
Answer:
10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Step-by-step explanation:
Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.
Solution:
Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.
Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:
5x + 3y = 95 (1)
Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:
8x + 6y = 170 (2)
Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:
2x = 20
x = 10
Substitute x = 10 in equation (1):
5(10) + 3y = 95
50 + 3y = 95
3y = 45
y = 15
Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln
slope m = –4
equation
y - 3 = -4(x + 2)
y - 3 = -4x - 8
y = -4x - 5 where slope = -4 and y intercept = b = -5
Answer
Y intercept (0, -5)
Answer:
x=23°
Step-by-step explanation:
The whole angle is 117°, and its split in two. One half is 94°, so 117-94= 23
