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wlad13 [49]
2 years ago
6

Fred's boat rental charges a rental fee of $30 plus $5 per hour. Joe's boat rental charges a flat rate of $20 an hour. Set the s

ituations up as an equation and find the number of hours for which the total amount that both places charge would be the same.
Mathematics
1 answer:
zmey [24]2 years ago
8 0
30 + 5h = 20h
30 = 20h - 5h
30 = 15h
30/15 = h
2 = h

at 2 hrs, they both charge the same rate...
30 + 5(2) = 30 + 10 = 40
20h = 20(2) = 40
so at 2 hrs, they both charge $ 40

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How can you tell that the slope of the line through (2,2) and (-3,5) is negative without calculating
cestrela7 [59]
The y values decrease as the x values increase. If you picture the points in your head, you’ll see that (2,2) is to the right and lower than (-3,5), creating a negative slope.
3 0
2 years ago
javier rode his bike for a total of 41 minutes. before lunch he rode 1 minute less than 5 times the number of minutes he rode af
notka56 [123]

Answer:

Javier rode bike 34 minutes before lunch.


Step-by-step explanation:


Let the number of minutes Javier rode the bike after lunch be = x minutes


Then according to question number of minutes he rode the bike after lunch

= 5x-1


Total number of minutes he rode bike = 41 min

Therefore,

x+5x-1 =41


On solving


6x= 41+1 =42


Divide both side by 6 we get

x= 7


Number of minutes he ride before lunch

= 5(7)-1 = 35-1=34 min


8 0
3 years ago
What is theoretical vs practical domain in an exponential equation. Plz provide an example too
olya-2409 [2.1K]

Answer:

The theoretical probability of an event occurring is an "expected" probability based upon knowledge of the situation. It is the number of favorable outcomes to the number of possible outcomes. Example: ... There are 6 possible outcomes when rolling a die: 1, 2, 3, 4, 5, and 6. The only favorable outcome is rolling a 6.Practical domains and ranges narrow the solution sets to be realistic within defined parameters.The possible values of "x" is called the domain. The possible values of "y" is called the range.

Step-by-step explanation:

7 0
3 years ago
Explain why the function is discontinuous at the given number
Blizzard [7]
For f to be continuous at x=5, we need to have

\displaystyle\lim_{x\to5}f(x)=f(5)

Note that x\to5 means that x\neq5, but that x is *approaching* 5. We're told that for x\neq5, we have

f(x)=\dfrac{x^2-5x}{x^2-25}

We can write

\dfrac{x^2-5x}{x^2-25}=\dfrac{x(x-5)}{(x+5)(x-5)}=\dfrac x{x+5}

and the limit would be

\displaystyle\lim_{x\to5}\frac x{x+5}=\dfrac5{5+5}=\dfrac5{10}=\dfrac12\neq1=f(5)

and so f is discontinuous.
5 0
3 years ago
Find the values of x and y for which the lines are parallel.
bearhunter [10]
The answer:  " x = 68, y = 72 " .
____________________________
Explanation:
________________________________________
46 + (x - 3) + (y - 3) = 180 .

46 + 1(x - 3) + 1(y-3) = 180 .

46 + 1x - 3 + 1y - 3 = 180 .

46 - 3 - 3 + 1x + 1y = 180 .

40 + x + y = 180 ;

Subtract "40" from EACH SIDE of the equation:
______________________________________
 40 + x + y - 40 = 180 - 40 ;

 to get:

x + y = 140 ;
_____________________________________
Now:
_____________________________________
65 = (x - 3) ;


↔  x - 3 = 65 ;

Add "3" to EACH SIDE of the equation;

    x - 3 + 3 = 65 + 3 ;

to get:
 
           x = 68 .
______________________________
Now:

Since:  "x + y = 140" ;

Let us plug in our known value, "68" ;  for "x" ;

to solve for "y" ;
__________________________________
   x + y = 140 ;
 
  68 + y = 140 ;

↔ y + 68 = 140 ;

Subtract "68" from EACH SIDE of the equation; to isolate "y" on one side of the equation; and to solve for "y" ;
______________________________________________
   y + 68 - 68 = 140 = 68 ;

                  y = 72 .
______________________________________________
So,  solve for "x" and "y".

x = 68, y = 72 .
_______________________________________________
5 0
3 years ago
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