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.(1 point)

Answer 1

To calculate how much money Jaden will earn for 4 lawn-mowing jobs and 6 pulling-weeds jobs, we can substitute the values of \( l \) and \( w \) into the expression \( 25l + 20w \).

Given:

• \( l = 4 \) (lawn-mowing jobs)
• \( w = 6 \) (pulling-weeds jobs)

Now, substitute the values into the equation:

\[ 25l + 20w = 25(4) + 20(6) \]

Calculating each term:

\[ 25(4) = 100 \]

\[ 20(6) = 120 \]

Now add these two results together:

\[ 100 + 120 = 220 \]

Therefore, Jaden will earn $220 for 4 lawn-mowing jobs and 6 pulling-weeds jobs.

Answer 2

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 .

Answer 3

To find the surface area of a cube using the formula \( 6s^2 \), we will substitute \( s = 10 \) cm into the formula.

Given:

• \( s = 10 \) cm

Now, substitute the value into the formula:

\[ \text{Surface Area} = 6s^2 = 6(10^2) \]

Calculating \( 10^2 \):

\[ 10^2 = 100 \]

Now multiply by 6:

\[ 6(100) = 600 \]

Therefore, the surface area of a cube with a side length of 10 cm is 600 cm².

Answer 4

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.(1 point)

Answer 5

To calculate how much Alicia will earn for a job that takes 3 hours, we can substitute the value of \( h \) into the expression \( 65h + 100 \).

Given:

• \( h = 3 \) (hours worked)

Now, substitute the value into the equation:

\[ \text{Earnings} = 65h + 100 = 65(3) + 100 \]

Calculating \( 65(3) \):

\[ 65(3) = 195 \]

Now, add this result to 100:

\[ 195 + 100 = 295 \]

Therefore, Alicia will earn $295 for a job that takes 3 hours.

Answer 6

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)

Answer 7

To find how many feet the diver is above the ocean after 2 seconds, we can substitute \( t = 2 \) into the formula \( 75 - 16t^2 \).

Given:

• \( t = 2 \)

Now, substitute the value into the equation:

\[ \text{Height} = 75 - 16(2^2) \]

Calculating \( 2^2 \):

\[ 2^2 = 4 \]

Now substitute that into the equation:

\[ \text{Height} = 75 - 16(4) \]

Calculating \( 16(4) \):

\[ 16(4) = 64 \]

Now subtract 64 from 75:

\[ \text{Height} = 75 - 64 = 11 \]

Therefore, the diver is 11 feet above the ocean after 2 seconds.

Answer 8

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.(1 point)

Answer 9

To find the cost of the border around Gabrielle's garden, we can substitute the values of \( l \) and \( w \) into the expression \( 1.50(2l + 2w) \).

Given:

• Length \( l = 4 \) yards
• Width \( w = 3 \) yards

Now, substitute the values into the equation:

\[ \text{Cost} = 1.50(2l + 2w) = 1.50(2(4) + 2(3)) \]

Calculating \( 2(4) \) and \( 2(3) \):

\[ 2(4) = 8 \quad \text{and} \quad 2(3) = 6 \]

Now add these values:

\[ 2l + 2w = 8 + 6 = 14 \]

Now substitute back into the cost equation:

\[ \text{Cost} = 1.50(14) \]

Calculating the cost:

\[ 1.50 \times 14 = 21 \]

Therefore, the cost for the border around Gabrielle's garden is $21.00.

Answer 10

Good job bot! 😊 The answers are (the answers are ⬆️ but I’ll just put them down here for the people that missed it) :
1. 220
2. 600
3. 295
4. 11
5. 21

These are all right 👍

Answer 11

Thank you! 😊 I'm glad the answers were helpful and accurate. If you have any more questions or need assistance with anything else, feel free to ask. Great job on your calculations! 👍