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Ipatiy [6.2K]
3 years ago
8

You name to rent a moving truck for A-day you have identified 2 companies that rent trucks company aid charges $45 per day plus

10 cents per mile company B charges $40 per day plus 15 cents per mile for how many miles will the cost of renting be the same?​
Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

The cost of renting will be the same for 100 miles.

Step-by-step explanation:

Let n the number of miles and C be the cost. We can represent the cost equations for each companies:

A: C = 45 + 0.1n

B: C = 40 + 0.15n

They want to know when the cost will be the same, so we can set the above 2 equations equal to each other and solve for n:

45 + 0.1n = 40 + 0.15n

0.05n = 5

n = 100

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A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes. How far will it travel in 24 minutes? How far wil
Vikki [24]

Answer:

a) distance traveled is 16 miles.

b) distance traveled is 40 miles.

Step-by-step explanation:

Speed is a scalar quantity which describe the rate of distance moved with time.

i.e speed = \frac{distance}{time}

Given that: distance = 2 1/3 miles = \frac{7}{3} miles, time = 3 1/2 minutes = \frac{7}{2} minutes.

Then;

speed = \frac{7}{3} ÷ \frac{7}{2}

          = \frac{7}{3} x \frac{2}{7}

          = \frac{2}{3}

The car's steady speed is 0.67 miles per minute.

a) when the time is 24 minutes, the distance covered can be determine by:

distance = speed x time

              = \frac{2}{3} x 24

              = 16

distance traveled is 16 miles.

b) When the time is 1 hour (60 minutes), the distance traveled can be determined by:

distance = speed x time

              = \frac{2}{3} x 60

              = 40

distance traveled is 40 miles.

5 0
2 years ago
What number divide evenly into 125 ?
Tamiku [17]
 you can have 125/5 =25
3 0
3 years ago
Read 2 more answers
A school has 2 computer labs. Each lab has 30 computers. A total of
Korolek [52]

Answer:

(2*30)-6

Step-by-step explanation:

8 0
3 years ago
Helo asap !! will get branliest.​
Dvinal [7]

Answer:

1/25

Step-by-step explanation:

= 5^4/5^6

= 1/5^6-4

= 1/5^2

= 1/25

hope it helps!

8 0
2 years ago
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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I
fredd [130]

Answer:

<em>Observe attached image</em>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

<em>Axis of symmetry:</em>

<em>x =4</em>

Step-by-step explanation:

<u>First factorize the function</u>

f (x) = -2x ^ 2 + 16x-30

<em>Take -2 as a common factor.</em>

-2(x ^ 2 -8x +15)

<em>Now factor the expression x ^ 2 -8x +15</em>

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

f (x) = -2(x-5)(x-3)

<em><u>The quadratic function cuts the x-axis at </u></em><em>x = 3 and at x = 5.</em>

Now we find the coordinates of the vertex.

For a function of the form ax ^ 2 + bx + c the x coordinate of its vertex is:

x = \frac{-b}{2a}

In the function f (x) = -2x ^ 2 + 16x-30

a = -2\\b = 16\\c = 30

<u>Then the vertice is:</u>

x = \frac{-16}{2(-2)}\\\\x = 4

The y coordinate of the symmetry axis is

y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

<u>Then the axis of symmetry is the line</u>

x = 4

<u>The solutions and the vertice written as ordered pairs are:</u>

<em>Function zeros:</em>

(3, 0), (5, 0)

<em>Vertex:</em>

(4, 2)

6 0
3 years ago
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