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
qaws [65]
3 years ago
5

Mai will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59.96 and costs an a

dditional $0.14 per mile driven. The second plan has an initial fee of $71.96 and costs an additional $0.12 per mile driven. How many miles would Mai need to drive for the two plans to cost the same?
Mathematics
1 answer:
juin [17]3 years ago
4 0

Answer:

600 miles.

Step-by-step explanation:

So basically we can write both plans as linear functions:

F(x) = $59.96+$0.14 . x

S(x) = $71.96+$0.12 . x

Where F(x) is the first plan, S(x) is the second one and X are the miles driven.

To know how many miles does Mai need to drive for the two plans to cost the same, we equalize both equations and isolate x.

F(x) = S (x)

$59.96+$0.14.x = $71.96+$0.12.x \\0.14x-0.12x=71.96-59.96\\0.02x=12\\x=12 : 0.02\\x= 600

Mai has to drive 600 miles for the two plans to cost the same-

You might be interested in
2 – Efetue:
BartSMP [9]

A) 7x(-5)

A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: (+) x (-)=(-)

(7x5)

Multiplique os valores

-35

resposta para  A: -35

B)(-9)x(-8)

A multiplicação dois números negativos resulta em um numero positivo : (-)x(-)=(+)

9 x 8

Multiplique os valores

72

Resposta para B :72

C)(-15) : 5

A divisão de um numero negativo por um positivo resulta em um numero negativo: (-):(+)=(-)

-(15:5)

Divida os números

-3

Resposta para C: -3

D) 125 : 25

Divida os números

5

Resposta para D: 5

POR FAVOR ME MARCA BRAINLIEST

5 0
3 years ago
One ordered pair (a,b) satisfies the two equations ab^4 = 384 and a^2 b^5 = 4608. What is the value of a in this ordered pair?
Alekssandra [29.7K]

Answer: a = 3∛2

<u>Step-by-step explanation:</u>

ab⁴ = 384     --> a = 384/b⁴

Substitute a = 384/b⁴ into the second equation to solve for "b".

   a²b⁵ = 4608

\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b

Substitute b = 2∛4 into the first equation to solve for "a".

ab⁴ = 384

a(2∛4)⁴ = 384

        a  = 384/(2∛4)⁴

        a = 24/4∛4

           = 6/∛4

           = 6(∛2)/2

           = 3∛2

5 0
3 years ago
What is the value of x when Rq=3x+2 ,QN =2x and SM=3x?
Andru [333]

The value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

RQ = 3x+2 ,QN = 2x and SM=3x

In the figure, the TM, Rn, and SL are medians of the triangle SRT and Q is the centroid.

The centroid of the triangle divides each median in the ratio 2:1

RQ/QN = 2/1

(3x+2)/2x = 2/1

After solving:

3x + 2 = 4x

x = 2

Thus, the value of x is 2 because the centroid of the triangle divides each median in the ratio of 2:1 option (C) is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

5 0
2 years ago
Please help me it is due today
boyakko [2]

Answer:

B

Step-by-step explanation:

A give me 2'zero

b give me 9'zero

c give 8'zero

d gives 5 zero

e give me 4'zero

for example it give me two zero it 100

or if five 5 zero it 100000

hope this helps

3 0
3 years ago
The perimeter of a rectangle equals one and a half times its area. Express the length of the rectangle in terms of the width (us
WITCHER [35]

Answer:

Step-by-step explanation:

let x and y be length and width of rectangle.

Perimeter=2(x+y)

area=xy

2(x+y)=1/2 xy

4(x+y)=xy

4x+4y=xy

x y-4y=4 x

y(x-4)=4 x

y=\frac{4x}{x-4}

4 0
3 years ago
Other questions:
  • Write the formula for a triangle with a height of 2 1/2 and a 13 in base
    7·1 answer
  • What's the answer O-O reee
    11·2 answers
  • Out of 40 sandwiches, 19 are turkey, 9 are bologna, and the rest are tuna fish. If one sandwich is randomly picked, what is the
    7·1 answer
  • Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (XY) be the unknown e
    8·1 answer
  • A certain hybrid car can travel 1 4/11 times as far as a similar nonhybrid car can, each one gallon of gasoline. If the nonhybri
    10·1 answer
  • An artist makes a scale drawing of a building he likes. The building is 90 feet tall and 45 feet wide.If this picture is 3 feet
    13·2 answers
  • Find the 100th term in the arithmetic sequence -19,-14,-9,-4,1... a. 100 c. 476 b. 471 d. 481
    11·1 answer
  • Cubes of side 3cm are stacked to form a cube of side 18 cm. Find the number of cubes used.
    7·1 answer
  • WILL GIVE BRAINLIEST need help asap
    13·2 answers
  • What is the distance between points (-3,2) (7,13)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!