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Anit [1.1K]
3 years ago
11

One car rental agency rents a basic car at a daily rate of ​$37.95 plus 40 cents per mile. Another company rents a basic car for

​$42.95 plus 30 cents per mile. Find the mileage for which the cost is the same.
Mathematics
1 answer:
Mariulka [41]3 years ago
8 0
Let x be the mileage that will cost the same

37.95 + 0.4x = 42.95 + .3x
0.4x - 0.3x = 42.95 - 37.95
0.1x = 3
x = 30
Ans: 30 miles
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A rocket was launched into the air from a podium 6 feet off the ground. The rocket path is represented by the equation h(t)=-16t
Arte-miy333 [17]

Answer:

60

Step-by-step explanation:

The given function is:

h(t)=-16t^2+120t+6

The average rate of change of h(t) from t=a to t=b is given by:

\frac{h(b)-h(a)}{b-a}

We can rewrite this function as: h(t)=-16(t-3.75)^2+231

The maximum height of the rocket is 231 and it occurs at t=3.75

\implies h(3.75)=231

The initial launch occurs at: t=0

and h(0)=-16(0)^2+120(0)+6=6

The average rate of change from the initial launch to the maximum height is

\frac{h(3.75)-h(0)}{3.75-0}=\frac{231-6}{3.75-0} =60

6 0
3 years ago
The circumference of a circle is 28 pi meters. What is its radius
astraxan [27]

Circumference's formula is: 2πr

Since π is not added in the total (as it is 28π), just divide 28 with 2 to get r

28/2 = 14

The radius is 14

hope this helps

6 0
3 years ago
Read 2 more answers
Anyone know? Will mark brainliest if correct! ​
Sveta_85 [38]

Answer:

A) Horsepower is the independent variable

D)  The scatter plot shows a negative correlation

Step-by-step explanation:

Independent variable goes on the x-axis, it does not depend on another.

In this case, horsepower is the independent variable.

Negative correlation is a relationship between two variables in which one variable increases as the other decreases.

In this case, the scatter plot shows a negative correlation.

4 0
3 years ago
Simplify the radical expression. √45 + √20 - √5
viva [34]
√45 = √9√5 = 3√5
√20 = √4√5 = 2√5

3√5+2√5-√5=4√5

answer = 4√5
:)
5 0
3 years ago
Solve the equations
ASHA 777 [7]

Answer:

(1)The value of x is -9 .

Option (B) is correct .

(2)The value of x is 13 .

Option (A) is correct .

(3)The value of the x is 11 .

Option (D) is correct .

(4) The value of the x is -15 .

Option (A) is correct .

(5)The value of the x is -11 .

Option (C) is correct .

Step-by-step explanation:

First Part

As given

4x = -36

x = \frac{-36}{4}

x = -9

Therefore the value of x is -9 .

Option (B) is correct .

Second Part

As given

5x - 15 = 50

5x = 50 + 15gg

5x = 65

x = \frac{65}{5}

x = 13

Therefore the value of x is 13 .

Option (A) is correct .

As given

4(x+2)-17=35

4x + 8 - 17 = 35

4x = 35 + 17 - 8

4x = 44

x = \frac{44}{4}

x = 11

Therefore the value of the x is 11 .

Option (D) is correct .

Fourth Part

As given

6x+12=4x-18

6x-4x = -12-18

2x = -30

x = \frac{-30}{2}

x = -15

Therefore the value of the x is -15 .

Option (A) is correct .

Fifth Part

As given

\frac{1}{2}(4x-10)+5=x-11

Simplify the above

4x-10+5×2 = 2x-22

4x-10+10= 2x-22

4x-2x = -22

2x=-22

x = \frac{-22}{2}

x = -11

Therefore the value of the x is -11 .

Option (C) is correct .

5 0
3 years ago
Read 2 more answers
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