Jaden has a part-time job working for a landscaping company. He earns $25 for each lawn-mowing job, l
, and $20 for each pulling-weeds job, w
. This can be modeled by 25l+20w
. Evaluate for l=4
and w=6
to find how much money Jaden will earn for 4 lawn-mowing jobs and 6 pulling-weeds jobs.
To find out how much money Jaden will earn for 4 lawn-mowing jobs and 6 pulling-weeds jobs, we can substitute l=4 and w=6 into the equation 25l+20w.
25(4) + 20(6) = 100 + 120 = 220
So, Jaden will earn $220 for 4 lawn-mowing jobs and 6 pulling-weeds jobs.
The formula for finding the surface area of a cube is 6s2
, where s
is the length of each side of the square. Evaluate for s=10
to find the number of square centimeters (cm2
) for the surface area of a cube with a side length of 10 cm.
To find the surface area of a cube with a side length of 10 cm, we can substitute s=10 into the equation 6s^2.
6(10^2) = 6(100) = 600
So, the surface area of the cube is 600 square centimeters (cm^2).
Alicia works for Thomas Edison Electrical Company. She earns $100 for going to a customer’s house and $65 per hour, h
, for the job. This is modeled by 65h+100
. Evaluate for h=3
to find how much Alicia will earn for a job that takes 3 hours.
To find out how much Alicia will earn for a job that takes 3 hours, we can substitute h=3 into the equation 65h+100.
65(3) + 100 = 195 + 100 = 295
So, Alicia will earn $295 for a job that takes 3 hours.
A competitive cliff-diver jumps from a height of 75 feet. Find the number of feet the diver is above the ocean in 2 seconds. Evaluate for t=2
by using the formula 75−16t2
, where t
is time in seconds.
To find the number of feet the diver is above the ocean in 2 seconds, we can substitute t=2 into the equation 75 - 16t^2.
75 - 16(2^2) = 75 - 16(4) = 75 - 64 = 11
So, the diver is 11 feet above the ocean in 2 seconds.
Gabrielle wants to put a border around her garden. It costs $1.50 per yard for the materials. Use 1.50(2l+2w)
, where l
is the length and w
is the width of her garden, to find the cost for a garden that has a length of 4 yards and a width of 3 yards.
To find the cost for a garden that has a length of 4 yards and a width of 3 yards, we can substitute l=4 and w=3 into the equation 1.50(2l+2w).
1.50(2(4) + 2(3)) = 1.50(8 + 6) = 1.50(14) = 21
Therefore, the cost for the border around Gabrielle's garden is $21.
To find how much money Jaden will earn for 4 lawn-mowing jobs and 6 pulling-weeds jobs, we can substitute the given values of l=4 and w=6 into the expression 25l + 20w.
Substituting l=4 and w=6 into the expression, we have:
25(4) + 20(6)
Now we can perform the calculations:
25(4) = 100
20(6) = 120
Adding these two values together, we get:
100 + 120 = 220
So, Jaden will earn $220 for 4 lawn-mowing jobs and 6 pulling-weeds jobs.