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Mariana [72]
2 years ago
10

You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site

. Write and solve an equation to determine how many total hours you have to work to earn $117 working at two separate work sites. Write an equation to describe the situation. Use h to represent the number of hours.
Please help asap and thanksss
Mathematics
2 answers:
Archy [21]2 years ago
3 0

Answer:

y = mx + b

where,

y = earning

m = slope or earning per hour = $24

x = total number of hours

b = y intercept or initial earning upon visit = $45

Hence,

y = 24x + 45

Since we are working at two separate work sites, therefore each site we must earn 810/2 = 405

So when y = 405:

405 = 24x + 45

x = 15 hours

So you must work 15 hours at each site.

Step-by-step explanation:

Novosadov [1.4K]2 years ago
3 0

Answer:

7.56 hours.

Step-by-step explanation:

So my equation will be:

$45 + $24h

If we need to find out how many hours you have to work in order to earn $117 working at two separate work sites, the equation would look like this:

45 + 25h ÷ 2 = 117.

First we need to multiply both sides of th equation by 2.

\frac{2\left(45+25h\right)}{2}=117\cdot \:2

Then, I had to simplify.

5+25h=234

After simplifying, it was about time to subtract 45 from both sides of the equation.

45+25h-45=234-45

I had to simplify again, then divide both sides by 25.

25h=189

\frac{25h}{25}=\frac{189}{25}

Again, I have to simplify for a final time to get the answer of..

h=\frac{189}{25}

In decimal form, thats equal to 7.56 hours.

h = 7.56.

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What’s the gcf of 18k and 15k cubed?
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Answer:

The GCF for the variable part is  

k

Step-by-step explanation:

Since  

18

k

,

15

k

3

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

18

k

,

15

k

3

:

1. Find the GCF for the numerical part  

18

,

15

2. Find the GCF for the variable part  

k

1

,

k

3

3. Multiply the values together

Find the common factors for the numerical part:

18

,

15

The factors for  

18

are  

1

,

2

,

3

,

6

,

9

,

18

.

Tap for more steps...

1

,

2

,

3

,

6

,

9

,

18

The factors for  

15

are  

1

,

3

,

5

,

15

.

Tap for more steps...

1

,

3

,

5

,

15

List all the factors for  

18

,

15

to find the common factors.

18

:  

1

,

2

,

3

,

6

,

9

,

18

15

:  

1

,

3

,

5

,

15

The common factors for  

18

,

15

are  

1

,

3

.

1

,

3

The GCF for the numerical part is  

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

k

,

k

3

The factor for  

k

1

is  

k

itself.

k

The factors for  

k

3

are  

k

⋅

k

⋅

k

.

k

⋅

k

⋅

k

List all the factors for  

k

1

,

k

3

to find the common factors.

k

1

=

k

k

3

=

k

⋅

k

⋅

k

The common factor for the variables  

k

1

,

k

3

is  

k

.

k

The GCF for the variable part is  

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.

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=

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3 years ago
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