Answer:
(a) 4.875 minutes
(b) 1.86 minutes
Step-by-step explanation:
The length of fence = 150 feet.
Rate of painting by Tyler = 11ft/min
Rate of painting by Benito = 15ft/min
(a) Let after time t minutes both have painted equal number of feet.
As Taylor has already painted 19.5 feet. So,



minutes.
(b)The length of fencs to be painted by Tylor=150-19.5=130.5 feet.
So. time taken by Tylor to finish the painting
minutes.
Time taken by Benito to finish the painting
minutes
Here, tome taken by Benito is less, so Benoto finishes first.
Benoto will get the time to rest for 11.86-10=1.86 minutes.
Answer:You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide
Step-by-step explanation:
The complete question is
Elena needs to find a table that will fit three cube-shaped cases, each containing a frog.If the volume of each case is 1,000 cubic inches, could she use a table with a top that measures 2 1/2 feet long and 1 1/2 feet wide?Explain
step 1
Find the length side of the cube-shaped case
we know that
The volume of the cube is equal to
where
b is the length side of the cube
we have
substitute
solve for b
step 2
Convert feet to inches
we have
step 3
Compare the dimensions of the table with the dimensions of the cube-shaped case
30 > 10
The length of the table is greater than the length side of the cube
18> 10
The width of the table is greater than the length side of the cube
therefore
You could not use a table with a top that is 2 1/2 feet long and 1 1/2 feet wide
Simplify ——
x3
Equation at the end of step
1
:
z2
0-((((3x•(y4))•——)•y)•z4)
x3
STEP
2
:
Equation at the end of step
2
:
z2
0 - (((3xy4 • ——) • y) • z4)
x3
STEP
3
:
Multiplying exponential expressions :
3.1 z2 multiplied by z4 = z(2 + 4) = z6
Equation at the end of step
3
:
3y5z6
0 - —————
x2
STEP
4
:
Final result :
-3y5z6
——————
x2