All categories

2 years ago

Steven estimates how long his computer repairs will take. He discovers that ABC Tech and Tech Squad will charge the

Mathematics

1 answer:

katrin2010 [14]2 years ago

8 0

You didn't include the costs of doing repairs at both computer repair firms. I fixed that for you.

ABC Tech ------- $20 service charge plus $15 per hour.

Tech squad ------- $30 service charge plus $10 per hour.

Answer:

Steven's estimate of the repair time is 2 hours.

Step-by-step explanation:

Now in this case, we were told that ABC Tech normally charges $20 service charge and $15 per hour of computer repair service. The second tech firm charges $30 service charge and $10 per hour for computer repair service. We are now simply required to find out or calculate the number of hours of computer repair service whereby the cost of doing repairs at both tech firms become equal.

Let us use "x" to represent that unknown number of hours. The equation needed to calculate this is:

20 + 15x = 30 + 10x

We then pair like terms

15x - 10x = 30 - 20

5x = 10

x = 10/5

x = 2

Therefore the number of hours of computer repair service whereby the cost of doing repairs at both tech firms become equal is 2 hours.

You might be interested in

what is the monthly payment for a loan if the amount to finance is $12,385 the APR is 6.9% for 5 years and the monthly payment p

Leni [432]

$1.98 * ($12,385/$100) = $245.22

5 0

2 years ago

Read 2 more answers

In a chess variant, a "lord" can move one space at a time, either upward, or to the right, or diagonally up and to the right. ho

valentina_108 [34]

There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard

<h3>Further explanation</h3>

The probability of an event is defined as the possibility of an event occurring against sample space.

$\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }$

<h2>Permutation ( Arrangement )</h2>

Permutation is the number of ways to arrange objects.

$\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }$

<h2>Combination ( Selection )</h2>

Combination is the number of ways to select objects.

$\large {\boxed {^nC_r = \frac{n!}{r! (n - r)!} } }$

Let us tackle the problem.

This problem is similar to Pascal Triangle.

The Lord can move to the right or up in one way only.

We can put "1" in each box on the bottom and left to represent 1 possible movement.

To get the possibility of movement to another box, we will add the possibility of movement to the left, right, and diagonal squares as shown in Figure 1.

This process is repeated for the next box as shown in Figure 2.

Finally, after this process is repeated until the top right box, we get the results as shown in Figure 3.

There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard.

<h3>Learn more</h3>

Different Birthdays : brainly.com/question/7567074
Dependent or Independent Events : brainly.com/question/12029535
Mutually exclusive : brainly.com/question/3464581

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

7 0

2 years ago

What is the factor of 2k^2-25k+12

denpristay [2]

Answer:(2k-1)(k-12)

Step-by-step explanation:

8 0

2 years ago

your class is having a car wash for a fundraiser. it costs $27.95 for supplies. your class charges $5 per car. write an expressi

GenaCL600 [577]

Equation y = 5x - 27.95
Plug in 34 for x
5(34) - 27.95
170 - 27.95 = $142.05

5 0

2 years ago

Read 2 more answers

Trail mix is sold in 1-pound bags.Mary will buy some trail mix and repackage it so that each of the 15 members of her hiking clu

inessss [21]

Answer:

6 bags.

Step-by-step explanation:

We have been given that trail mix is sold in 1-pound bags. Mary will buy some trail mix and repackage it so that each of the 15 members of her hiking club gets one 2/5 bag.

Let us find the number of pounds Mary will need to give to 15 members. As Mary wants to give 2/5 of 1 ounce bag of trail mix, so she will need 15 times 2/5 ounces to given to 15 members of her hiking club.

$\text{Pounds of trail mix needed to give to 15 members}=15\times \frac{2}{5}\text{ ounce}$

$\text{Pounds of trail mix needed to give to 15 members}=3\times 2\text{ ounce}$

$\text{Pounds of trail mix needed to give to 15 members}=6\text{ ounces}$

So Mary needs 6 pounds of trail mix to give to 15 members of her hiking club. As trial mix is sold in 1-pound bags, therefore, Mary should buy 6 bags to have enough of trail mix without any trail mix left over.

3 0

2 years ago