Suppose that gas costs Big Ray $2.00/gallon and that he pays an attendant $100/day. Let C(x)
represent the total daily cost as a function of the price of the gas. Find the formula for C(x)

Answer:

Step-by-step explanation:

19. 12960

20. 6000

Answer:

- The equation that represent the cost C of renting a car and driving x miles is  C = $39.11 + $0.50x

- $100 can travel 121.78 miles

Step-by-step explanation:

From the question, a rental company rents a luxury car at a daily rate of 39.11 ​$ plus​ $.50 per mile, that is

$0.50 is added to the initial $39.11 for every mile.

The equation that represent the cost C of renting a car and driving x miles is

C = $39.11 + $0.50x

Now, to determine how many miles 100$ can travel,

we will put C = $100, and determine x in the above equation

$100 = $39.11 + $0.50x

$100 - $39.11 = $0.50x

$60.89 = $0.50x

x = $60.89/$0.50

x = 121.78

Hence, $100 can travel 121.78 miles

Answer:

n=12

Step-by-step explanation:

Answer:

DE≅JK

Step-by-step explanation:

already have aa need the side after or before the 2 angles

Answer:

Step-by-step explanation:

We have one side and one angle, need one more side such that the angle is between those sides. It will make SAS congruency

So required sides are

Answer:

[tex] 5x + 12y = -78 [/tex]

or

[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]

Step-by-step explanation:

[tex] y - y_1 = \dfrac{y_2 - y_1}{x_2 - x_1}(x - x_1) [/tex]

[tex] y - (-4) = \dfrac{-9 - (-4)}{6 - (-6)}(x - (-6)) [/tex]

[tex] y + 4 = \dfrac{-9 + 4}{6 + 6}(x + 6) [/tex]

[tex] y + 4 = \dfrac{-5}{12}(x + 6) [/tex]

[tex] 12y + 48 = -5x - 30 [/tex]

[tex] 5x + 12y = -78 [/tex]

[tex] 12y = -5x - 78 [/tex]

[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]

Answer:

[tex] 5x + 12y = -78 [/tex]

or

[tex] y = -\dfrac{5}{12}x - \dfrac{13}{2} [/tex]

Answer:

The formula for D in terms of t is D=0.01875t²

The value of D is 76.8

Step-by-step explanation:

See above for an image

Hope I helped!

After calculating by definition of proportionality, the value of D is 76.8

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The distance, D, travelled by a particle is directly proportional to the square of the time, t.

So, We can defined as;

⇒ D = k × t²

Where, 'k' is constant of proportion.

Here, When t = 40, D = 30,

⇒ D = k × t²

⇒ 30 = k × 40²

⇒ 30 = k × 1600

⇒ k = 30 / 1600

⇒ k = 3/160

So, When t = 64, the value of D is,

⇒ D = 3/160 × 64²

⇒ D = 76.8

Learn more about the proportion visit:

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Answer:

Finish the question

Step-by-step explanation:

Answer:

m = -2

Step-by-step explanation:

The points I will be using are (-3, 6) and (0,0).

To find the slope, you sub these points into the slope formula - rise over run.

Answer:

The slope is -2

Step-by-step explanation:

to get from (0,0) to (-3,6) you rise 6 and go left 3. Then 6÷-3= -2.

Answer:

The zeros of the function are x = 4/3 or x = -2

Step-by-step explanation:

To find the zeros of the function, we set f(x) to zero

Thus;

(3x-4)(x + 2) = 0

3x - 4 = 0

or x + 2 = 0

3x = 4 or x = -2

x = 4/3 or x = -2

Answer:

Hello! your answer should be 2 :)

Step-by-step explanation:

the simpliest way to look at multipicaton is just complex addition, so, for example, 10x3 is the same as 10+10+10. so for your question, we'll just add 6 to itself until we get to twelve! 6x1=6, 6x2=12, nice and simple, there's your answer! :)

She need to multiply by 2 next.

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

Alex wants to multiply the number with 12.

She multiples by 6 first.

So, we need to focus on that what can be multiply by 6 to get 12 or what will be the quotient dividing 12 by 6.

Both of the above will tell us what will be next number.

So,

6*2=12

or, 12/6=2

In both situation we get 2.

Hence, she need to multiply by 2 next.

Learn more about number system here:

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Answer:

1.25

Step-by-step explanation:

because you do 12.5 and divide by 10 and it equals 1.25

Answer:

5ft 11 inches , 5 feet 3 inches , 5 ft. and 8 in

Step-by-step explanation:

I think this is right . Plus if it isn't at least some are right so you can correct your answer. And anyway you should know this if they taught you this sin class

The possible heights for the University of Central Florida’s cheerleaders is:

5 feet, 11 inches

5 feet, 3 inches

4 feet, 9 inches

5 feet, 8 inches

Let h represents the height of a team member.

Since the height of a team member is given by the inequality 260 ≤ 4h + 28 < 324, hence:

260 ≤ 4h + 28 or 4h + 28 < 324

4h + 28 ≥ 260 or 4h + 28 < 324

4h ≥ 232 or 4h < 296

h ≥ 58 inches or h < 74 inches

Therefore the height of the team member is at least 58 inches (4 feet 10 inches) and less than 74 inches (6 feet 2 inches)

The possible heights for the University of Central Florida’s cheerleaders is:

5 feet, 11 inches

5 feet, 3 inches

4 feet, 9 inches

5 feet, 8 inches

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Answer:

The value of b when a is 22 is 79 1/5

Step-by-step explanation:

a varies directly as b

Let k be the constant of proportionality;

then;

a = kb

5 = k * 18

k = 5/18

Finding the value of b, when a is 22

22 = 5/18 * b

5b = 18 * 22

b = (18 * 22)/5 = 79 1/5

Step-by-step explanation:

Hey there!

The sides of a square; 3cm.

Area = l^2

[tex]area = {3}^{2} [/tex]

[tex]a = 9[/tex]

Therefore, the area is 9cm^2.

Hope it helps...

Answer:

The answer is -1/6

Step-by-step explanation:

Answer:

Sum: -1/6

Difference: -5/6

Step-by-step explanation:

Answer:

100% d

Step-by-step explanation:

Answer:d

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

(0, 1)

(3, 0)

(6, -1)

(9, -2)

Answer:

2

Step-by-step explanation:

f(x) = 3x^3 + 5x^2

f(-1)

so just substitute in the value -1 for x, and solve

f(-1) = 3(-1)^3 + 5(-1)^2

     = 3 * -1 + 5 *1

     = -3 + 5

     = 2

Answer:

d

Step-by-step explanation:

10*5=50

could u vote me brainliest plz? thx :)

Answer:

50

Step-by-step explanation:

x/5 time 5 = 10 times 5

x = 50

Answer:

Step-by-step explanation: the slope would be 1 and the y intercept would be 4.

Answer:

x = 16

Step-by-step explanation:

Since we are looking at 2 vertical angles you would start with:

5x - 2 = 78

    +2    +2

-------------------

5x = 80

x = 16

I hope this helps you! :)

Answer:

The second option

Step-by-step explanation:

There can NOT be a function when one x-value coordinate corresponds to multiple x-values. -5 is corresponding with two different y-values, -2 and 2.

Answer:

The tip is $7.43

The total answer $56.93

Step-by-step explanation:

Hope this helps!

Answer:

c 56.93

Step-by-step explanation:

49.5 × 1.15= 56.93

Answer: Daughter = 13,   Man = 45

Step-by-step explanation:

                     Today           5 yrs ago          3 years hence (future)

Man                    x                  x - 5                     x + 3

Daughter           y                  y - 5                      y + 3

5 years ago a man's age was 5 times the age of his daughter's

EQ1:  x - 5 = 5(y - 5)    →     x - 5 = 5y - 25        →      x - 5y = -20

3 years hence, twice the man's age will be equal to 6 times his daughter's age.

EQ2: 2(x + 3) = 6(y + 3)     →    2x + 6 = 6y + 18      →     2x - 6y = 12

Solve the system of equations using the Elimination method:

EQ1:  x - 5y = -20  →  -2(x - 5y = -20)   →   -2x + 10y = 40

EQ2: 2x - 6y = 12  →    1(2x - 6y = 12)   →    2x -  6y = 12  

                                                                             4y =  52

                                                                           ÷4     ÷4  

                                                                              y =  13

Substitute y = 13 into either equation to solve for x:

EQ1: x - 5y = -20

       x         = 5y - 20

       x         = 5(13) - 20

       x         =  65   - 20

              x = 45

Answer:

~370

Step-by-step explanation:

Columbus = 892,533

US = ~328,200,000

892,533x100=89,253,300

89,253,300x3.5=312,386,550

892,533x20=17,850,660

89,253,300+312,386,550+17,850,660=~328,200,000

100x3.5=350

350+20=370

Answer:

C

Step-by-step explanation:

Because if she wants to fill 90 balloons 100 is 30 so multiply by 30×3 and u get 90

Answer: 300

Step-by-step explanation:

i took the test and got it right