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Inessa [10]
2 years ago
11

A truck can be rented from Company A for ​$100 a day plus ​$0.20 per mile. Company B charges ​$60 a day plus ​$0.70 per mile to

rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Mathematics
1 answer:
denis23 [38]2 years ago
4 0

Answer:

Step-by-step explanation:

First, we write the rental cost with each company:

Company A Pa = 100 + 0.2*m

Company B Pb = 60 + 0.7*m

Where m: miles travelled

Now, we need to find "number of miles in a day at which the rental costs for Company A and Company B are the same". This means Pa = Pb. Then:

100 + 0.2*m = 60 + 0.7*m

Solving the equation for m by taking 0.2m and 60 on both sides:

100 + 0.2*m - 0.2*m - 60 = 60 + 0.7*m - 0.2*m - 60

40 = 0.5*m

Finally, dividing 0.5 on both sides:

m = 80

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uysha [10]

(0,0) and (6,0)

First we subtract 18x from both sides

3x²-18x=0

Factor out a 3x

3x(x-6)=0

This means that x is either 0 or 6

7 0
3 years ago
Read 2 more answers
5x+8y=24? A)y=-5/8x+3 B)y=-3/8x-5/8 C)y=3x-5/8 D)y=3/8x-5/8
klasskru [66]
5x+8y = 24
The answer is c) y=3 -5/8 x
6 0
3 years ago
GIVING LOTS OF POINTS!!!!
Orlov [11]

Answer:

80 cubes

Step-by-step explanation:

volume of one small cube = 1 /2 × 1 / 2 × 1 / 2

= 1 / 8cm^3

let x be the number of cubes needed

1 / 8 × x = 10

x = 10 × 8

x = 80 cubes

6 0
2 years ago
PLEASE HELP FASTTT!!!
nirvana33 [79]

Answer:

5 seconds

Step-by-step explanation:

Looking at your function (h(t) = -16t^2 + 48t + 160), I see that the peak height will be 196 feet, and that is achieved in 1.5 seconds.

h(1.5) = -16(1.5)^2 + 48(1.5) + 160

h(1.5) = -16(2.25)+ 48(1.5) + 160

h(1.5) = -36 + 48(1.5) + 160

h(1.5) = -36 + 72 + 160

h(1.5) = 36 + 160

h(1.5) = 196

Going down from that height, it would take 3.5 more seconds, so it would take 5 seconds in total

h(5) = -16(5)^2 + 48(5) + 160

h(5) = -16(25) + 48(5) + 160

h(5) = -400 + 48(5) + 160

h(5) = -400 + 240 + 160

h(5) = -400 + 400

h(5) = 0

8 0
2 years ago
A bag contains 50 blue marbles and 66 red marbles. If 88 more red marbles are added to the bag, how many more blue marbles must
vaieri [72.5K]

Answer:

60

Step-by-step explanation:

After adding 88 red marbles, there are 50 blue marbles out of the 204 marbles total.

Let the number of blue marbles to be added be x.

\frac{50+x}{204+x}=\frac{5}{12} \\ \\ 600+12x=1020+5x \\ \\ 420=7x \\ \\ x=60

7 0
1 year ago
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