1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi [55]
3 years ago
9

Lashonda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.C

ompany A charges $96 and allows unlimited mileage. Company B has an initial fee of
$75 and charges an additional
$0.70 for every mile driven. For what mileages will Company A charge less than Company B? Use
m for the number of miles driven, and solve your inequality for m.
Mathematics
1 answer:
musickatia [10]3 years ago
3 0
Answer:
30 < m
The solution would be (30, ∞)

Explanation:
For company A:
The charge is: $96 for any number of mileage ..............> I
For company B:
The charge is $75 fixed and 0.7 for each mileage m. This means that the charge is: 75 + 0.7m .................> II

We want the charge of company A to be less than the charge of company B. This means that we want I to be less than II.
Therefore,
96 < 75 + 0.7m
96 - 75 < 0.7m
21 < 0.7m
21/0.7 < m
30 < m

This means that for any mileage greater than 30, the charge of company A will be less than the charge of company B

Hope this helps :)

You might be interested in
Helppppppppppppp. a and b partttt​
PilotLPTM [1.2K]

Answer:

a) 220.17 cm

b) 2127.12 cm²

Step-by-step explanation:

perimeter = circumference

it is the sum of the inner and the outer arc and the 2 side lines of 25.

we know a full circle has 360 degrees. but we only look at a segment of a circle of 150 out of the total of 360 degrees.

the circumference of a circle is

C = 2×pi×r

the 150 degree part is then

C = 2×pi×r×150/360 = 2×pi×r×15/36 = pi×r×15/18 =

= pi×r×5/6

the radius of the inner circle is 20.

=>

Ci = pi×20×5/6 = pi×50/3

the radius of the outer circle is 20 + 25 = 45

Co = pi×45×5/6 = pi×75/2

so, the total perimeter/ circumference is

C = Ci + Co + 25 + 25 = pi×50/3 + pi×75/2 + 50

= pi×100/6 + pi×225/6 + 50 = pi×325/6 + 50 =

= 220.17 cm

the area of the shaded shape is the area of the large circle segment minus the area of the small circle segment.

the area of a circle is

A = pi×r²

the 150 degree part is then

A = pi×r²×150/360 = pi×r²×5/12

so, for the inner circle that is

Ai = pi×20²×5/12 = pi×400×5/12 = pi×100×5/3 = pi×500/3

for the outer circle that is

Ao = pi×45²×5/12 = pi×2025×5/12 = pi×10125/12 =

= pi×3375/4

so, the total area of the shaded shape is

A = Ao - Ai = pi×3375/4 - pi×500/3 = pi×(10125-2000)/12 =

= pi×8125/12 = 2127.12 cm²

4 0
2 years ago
Find the circumference and the area of a circle with radius 4 cm <br><br> Please help!
Alexus [3.1K]
Circumference: 2 * pi * r
pi = 3.14, r = 4
2 * 3.14 * 4 = 25.12
Circumference: 25.12 cm

Area = pi * r^2
pi = 3.14, r = 4
3.14 * 4^2 = 50.24
Area: 50.24 cm^2
5 0
3 years ago
Read 2 more answers
The differential equation of a certain system is 20⁢y′⁢′+c⁢y′+80⁢y=0
Sholpan [36]

Answer:

c=80

Step-by-step explanation:

Based on my reading the critical damping occurs when the discriminant of the quadratic characteristic equation is 0.

So let's see that characteristic equation:

20⁢r^2+c⁢r+80⁢=0

The discriminant can be found by calculating b^2-4aC of ar^2+br+C=0.

a=20

b=c

C=80

c^2-4(20)(80)

We want this to be 0.

c^2-4(20)(80)=0

Simplify:

c^2-6400=0

Add 6400 on both sides:

c^2=6400

Take square root of both sides:

c=80 or c=-80

Based on further reading damping equations in form

a⁢y′⁢′+b⁢y′+C⁢y=0

should have positive coefficients with b also having the possibility of being zero.

5 0
3 years ago
Can anyone please help me with this?
dolphi86 [110]

Answer:

idk i can't realy see type it out.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Give the equation of the line with a slope of -7/2<br> and a y-intercept of - 6
antoniya [11.8K]

Answer:

y =  \frac{ - 7}{2}  - 6

3 0
3 years ago
Other questions:
  • Share £40 in the ratio 1:2:5
    13·1 answer
  • X -1 3 5 y 7 3 1 find the average rate of change from x=-1 to x=5
    14·1 answer
  • Jenny is cooking a chicken a chicken needs to be cooked 40 mins per kilogram plus extra 20 mins how much will it take to cook a
    11·1 answer
  • After a researcher adds 5 points to every score in a sample, the standard deviation is found to be s = 10. the original sample h
    10·1 answer
  • What is the gcf of 5 (4x-3) +x (4x-3)? Explain
    6·1 answer
  • In a third area, the number of species of wildflowers is expected to grow according to the following description. “The initial a
    12·1 answer
  • What launch song must a deposit at a 10% annually interest rate compounded annually in order to have $60,000 in the fund at the
    5·2 answers
  • What can you say about the function that generated the following table of values? O A. the function has no x-intercepts O B. the
    10·1 answer
  • HELP!!!ITS DUE IN AN HOUR
    15·2 answers
  • Twelve students have an equally likely chance of being selected in a drawing at school. Eight are 7th graders and four are 8th g
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!