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trapecia [35]
3 years ago
9

a telephone technician charges $30 per hour plus a $45 service charge your father's firm hires him to hook up his company's phon

e system find the total charges if it takes the telephone technician 6.5 hours to complete the task
Mathematics
1 answer:
hodyreva [135]3 years ago
6 0

y=mx+b

y=30h + 45

h= 6.5h

y=30(6.5)+45

y=$240

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Big Mack buys meat for the family reunion cookout. He needs to buy 11 packagesof meat. A package of hotdogs costs $2.59, and a p
IgorC [24]

Hello!

Let's write some important information contained in the exercise:

• hotdogs: $2.59 (,x,)

,

• hamburgers: $5.29 (,y,)

He needs 11 packages. Let's write it:

• x + y = 11

He spent a total of $39.29. We can write it as:

• 2.59x + 5.29y = 39.29

Now, let's solve these two equations as a linear system:

\begin{cases}x+y=11\text{ equation A} \\ 2.59x+5.29y=39.29\text{ equation B}\end{cases}

First, let's isolate x in equation A:

\begin{gathered} x+y=11 \\ x=11-y \end{gathered}

Now, we will replace where's x by 11-y in equation B:

\begin{gathered} 2.59x+5.29y=39.29 \\ 2.59(11-y)+5.29y=39.29 \\ 28.49-2.59y+5.29y=39.29 \\ -2.59y+5.29y=39.29-28.49 \\ 2.7y=10.8 \\ y=\frac{10.8}{2.7} \\  \\ y=4 \end{gathered}

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.

5 0
1 year ago
10 millimeters 30 centimeters what is the difference in lenght of this two insects in millimeters
olya-2409 [2.1K]

Answer:

20 maybe

Step-by-step explanation:

7 0
3 years ago
Amount $100,000
sergey [27]

Answer:

1) Repaid for the loan = $239,511.60  

2) Percentage = 58.2%

3) Average amount = $387.53

Step-by-step explanation:

Given :

Amount $100,000  

Rate 7%

Payments 360  - $665.31

Total interest $139,511.60

To find :

1) How much will be repaid for this loan?

Repaid for the loan = Amount - Total interest  

Repaid for the loan = 100,000 + 139,511.60

Repaid for the loan = $239,511.60  

2) What percentage will be repaid for this loan?

\text{Percentage}=\frac{\text{Total interest}}{\text{Repaid loan}}\times100

\text{Percentage}=\frac{139511.60}{239511.60}\times100

\text{Percentage}=0.582\times100

\text{Percentage}=58.2\%

3) What will be the average amount per payment for interest?

\text{Average amount}=\frac{\text{Total interest}}{\text{Payments}}

\text{Average amount}=\frac{\text{139511.60}}{\text{360}}

\text{Average amount}=387.53

4 0
4 years ago
What is 7 3/8 + 2 1/8
Ksivusya [100]

Answer:

9.5

Step-by-step explanation:

3 0
3 years ago
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RoseWind [281]

Answer:

Probability of both even is 12×12=14. Given they are both even there are 3 possible even numbers: 2,4,6.

Step-by-step explanation:

3 0
3 years ago
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