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 how much money Jaden will earn for 4 lawn-mowing jobs and 6 pulling-weeds jobs, we substitute l=4 and w=6 into the expression 25l+20w:
25(4) + 20(6) = 100 + 120 = <<25*4+20*6=220>>220
Therefore, Jaden will earn $220 for 4 lawn-mowing jobs and 6 pulling-weeds jobs. Answer: \boxed{220}.
Evaluate Algebraic Expressions Practice
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Question
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. (1 point)
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To find the surface area of a cube with a side length of 10 cm, we substitute s=10 into the expression 6s^2:
6(10^2) = 6(100) = 600
Therefore, the surface area of the cube is 600 square centimeters (cm^2). Answer: \boxed{600}.
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 how much Alicia will earn for a job that takes 3 hours, we substitute h=3 into the expression 65h+100:
65(3) + 100 = 195 + 100 = 295
Therefore, Alicia will earn $295 for a job that takes 3 hours. Answer: \boxed{295}.
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. (1 point)
To find the number of feet the diver is above the ocean in 2 seconds, we substitute t=2 into the expression 75 - 16t^2:
75 - 16(2^2) = 75 - 16(4) = 75 - 64 = 11
Therefore, the diver is 11 feet above the ocean in 2 seconds. Answer: \boxed{11}.
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 substitute l=4 and w=3 into the expression 1.50(2l+2w):
1.50(2(4)+2(3)) = 1.50(8+6) = 1.50(14) = 21
Therefore, the cost for a garden with a length of 4 yards and a width of 3 yards is $21. Answer: \boxed{21}.
To find out how much money Jaden will earn for 4 lawn-mowing jobs and 6 pulling-weeds jobs, we need to substitute the values of l=4 and w=6 into the expression $25l+20w and evaluate it.
Substituting l=4 and w=6, we have:
$25(4) + $20(6)
Evaluating this expression, we get:
$100 + $120
Adding these two amounts together, we find that Jaden will earn a total of $220 for 4 lawn-mowing jobs and 6 pulling-weeds jobs.