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Naya [18.7K]
3 years ago
8

A construction company charges $15 per hour for debris removal, plus one time fee for the use of the trash computer. The total f

ee for 9 hours of service was $195. Write and solve a linear equation to find the one-time fee for the trash dumpster.
Mathematics
1 answer:
Svetach [21]3 years ago
4 0

Let h be the numbers of hours, f be the one-time fee and c the cost charged. The equation is

c=15h+f

Since you pay $15 per four, plus the fee. We can solve this equation for the fee:

f=c-15h

If we plug c=195 and h=9, we have

f=195-15\cdot 9=195-135=60

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State the domain of the rational function. (2 points)
Rudik [331]

Answer:

B) All the real numbers except 4.

Step-by-step explanation:

The given rational expression f(x) = \frac{6}{4 -x}

To find the domain of the rational function, first we have to find the restricted domain.

To find the restricted domain set the denominator equal to zero.

4 - x = 0

x = 4

The restricted domain is at x = 4.

Which means the function does not exist when x = 4. When we plug in x =4 in the rational function, we get the denominator is 0.

Therefore, the function does not exist at x =- 4.

This means except 4 all the real numbers are the domain.

Hope this will help you to understand the concept.

Answer: B) All the real numbers except 4.

Thank you.

4 0
4 years ago
Read 2 more answers
Steps in how to solve
Alexxandr [17]
First, you replace x with -3. 
It will look like -3/3.
Then you divide and get -1.
6 0
3 years ago
7. Find a conversion factor between cubic meters and cubic
RUDIKE [14]

Step-by-step explanation:

We know that,

1 m = 100 cm

the conversion from m² to cm² is as follows :

(1 m)² = (100 cm)² = 10000 cm²

A conversion factor between cubic meters and cubic  centimeters is as follows :

(1 cm)³ = (100 cm)³

= 1000000 cm³

To convert m³ to cm³, multiply by 1000000.

Hence, this is the required solution.

3 0
3 years ago
The intersection of two planes (in geometry) that do not collide (if it exists) is what
butalik [34]

Answer:

It's called a line in math

4 0
3 years ago
Total freshman = 58. Number of freshman who prefer cheese toppings= 14. Determined the probability that a freshman prefer cheese
Yakvenalex [24]

Answer:

The probability that a freshman prefer cheese toppings  is   0.241

Step-by-step explanation:

Probability of any event E =  \frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}

Here, let E   :  Event of choosing cheese toppings

So, the number of favorable outcomes = 14

Total number of outcomes = 58

So, P(E) =  \frac{\textrm{Number of students who like cheese toppings}}{\textrm{Total number of students}}

or, P(E) = \frac{14}{58} = 0.241379

So,the probability that a freshman prefer cheese toppings  is   0.241379

Rounding of 0.241379  to the <u>nearest thousandth</u>, we get

Here , in 0.241379 thousandth digit is 3, and 3 < 5,

so the value of P(E) = 0.241

4 0
3 years ago
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