Please help

Leila will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.13 per mile driven. The second plan has an initial fee of $53 and costs an additional $0.08 per mile driven

Please HelpLeila Will Rent A Car For The Weekend. She Can Choose One Of Two Plans. The First Plan Has

Answers

Answer 1

9514 1404 393

Answer:

260 miles$73.80

Step-by-step explanation:

The cost of each plan (y) is the sum of the initial fee and the product of the mileage charge and the number of miles (x).

First Plan: y = 40 +0.13x

Second Plan: y = 53 +0.08x

__

We can find when the costs are the same by solving this system of equations. A way to do that is to subtract the second equation from the first:

  (y) -(y) = (40 +0.13x) -(53 +0.08x)

  0 = -13 +0.05x

Multiplying by 20 gives ...

  0 = -260 +x

Adding 260, we have ...

  x = 260

The plans cost the same for 260 miles of driving.

__

The cost of the plans for that distance is ...

  y = 40 +0.13x = 40 +0.13(260) = 40 +33.80

  y = 73.80

The cost when the two plans cost the same is $73.80.


Related Questions

Solve |5x+15|=10x. Identify the solution and an extraneous solution.

Answers

|5x+15|=10x

5x+15=10x 5x+15=-10x
-5x -5x -5x -5x
15=5x 15=-15x
divide by 5 divide by -15
3=x -1=x

Alex took 5 exams in class. His scores on the first four exams were 75%, 68%,
92%, and 100%. What does Alex need to score on the fifth exam to have an
average of 85%?
90
086
94
82

Answers

He needs to score a 94 on the test to average 85% on all tests.
75+68+92+100+94=429 429/5=85.8

Which pair of variables would most likely have approximately zero correlation

Answers

Answer:

I’m not sure but it’s b

Step-by-step explanation:

Could 8 be a solution? Why or why not?
x2 = 49

Answers

no because if you substitute 8 for x, you would get 16=49. which is not true

Answer:

it cannot be

Step-by-step explanation:

x²=49

x=√49

x=7

Thus answer is 7 and not 8

Task 6

Jeff's weekly salary equals a commission of his

sales plus a basic amount. If his sales are $849. he

earns $417.92. If his sales are $1011, he earns

$430.88.

yo

Q: Find Jeff's total earnings if his sales are$948.

Answers

Answer:

His total earnings for sales of $948 is $425.84

Step-by-step explanation:

Let the percentage of his commission be a percentage with its value represented as x and b be his base salary , y as his total earnings

So we have;

y = x% of sales + base salary

for 849 sales and 417.92 , we have

417.92 = 8.49x + b •••••••(i)

for 1011 sales and 430.88 servings

430.88 = 10.11x + b ••••••(ii)

Subtract i from ii

12.96 = 1.62x

x = 12.96/1.62

x = 8

To get b, we substitute

430.88 = 10.11(8) + b

b = 430.88 - 10.11(8) = 350

Commission is 8% , base earnings is $350

So for total sales of 948;

y = 8% of 948 + 350

y = $425.84

which of the following systems of equations would have infinitely many solutions?

y=4x-1 and 4x+5
y=x and y=0
y=2x-1 and y=2x-1
y=3x-2 and y=2x-3​

Answers

9514 1404 393

Answer:

  (c)  y = 2x-1 and y = 2x-1

Step-by-step explanation:

A system of equations in which both equations describe the same line will have infinitely many solutions (all points on that line).

The same line is (obviously) described by the (identical) equations ...

  y = 2x-1 and y = 2x-1

Does anyone else play nitro type?

Answers

Answer:

I do!

Step-by-step explanation:

Answer:

no sorry but i do know some friends that play..

What is the sum of 1/8+5/16+3/8

Answers

Answer:

i think it's 13/16

Step-by-step explanation:

1/8 times 2 is 2/16 and 3/8 times 2 is 6/16 so add all up to get 13/16

13/16.........................:.......................

Your friend thinks that the equation k-3.5=21, is he correct? explain.

Answers

Answer:

This could be correct in the case and only if k would equal 24.5 so only in that case

Step-by-step explanation:

The two prisms below are similar. What is the value of x?
24
4
16
A. 4
B. 24
C. 16
D. 1

Answers

Answer:

A

Step-by-step explanation:

Since the prisms are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{16}{4}[/tex] = [tex]\frac{x}{1}[/tex] ( cross- multiply )

4x = 16 ( divide both sides by 4 )

x = 4 → A

The value of x on the prism is 4.

What are Similar Figures?

Similar figures are those figures which are having the same shape, but the sizes are different.

Given are two prisms.

We have to find the length of x.

Given that they are similar.

So the ratio between their dimensions is equal.

So,

x / 1 = 16 / 4

x = 4

Hence the value of x is 4.

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One number is 2 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 468 ​, find the numbers

Answers

Answer:

Step-by-step explanation:

Givens

Let the first number = x

Let the second number = 2x

Let the third number = x + 100

Total = 468

==============

Solution

x + 2x + x + 100 = 468                    Combine the xs

4x + 100 = 468                                Subtract 100 from  both sides

4x = 468 - 100

4x = 368                                          Divide by 4

x = 368/4

x = 92

===============

Answer

First number =                     92

Second num = 2 * 92=       184

Third number = 92 + 100= 192

Total                                    468

3. 200 × 38.4 =

4. 900 × 20.7 =
help please it has to be solved like this 400*45.2=400* 45+400*0.2=18000+80=18080

Answers

Answer:

3. 7680

4. 18630

Step-by-step explanation:

3. solution:

200 * 38.4 = 200 *38 + 200 * 0.4

= 7600 +80

=7680

4. solution:

900 * 20.7 = 900 *20 + 900 * 0.7

= 18000 + 630

= 18630

What is the vaule of 5/6 ÷ 3/4

Answers

Answer:

0.625

Step-by-step explanation:

5/6 x 3/4 = 0.625 in decimal form.

5/6 / 3/4
5/6 x 4/3
20/18 = 1 2/18

PLS HELP PLS ITS TIMES ILL GIVEBRAINLIEST IF CORRECT HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: A

Step-by-step explanation:

If triangles ADE and ABC shown in the figure below are similar, what is the value of X?
A) 4
B) 5
C) 6
D) 10

Answers

Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5

Step-by-step explanation:

and 0.5 x 12 is 6

The measure of the side length of the triangle is 6. Then the correct option is C.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

If triangles ADE and ABC shown in the figure below are similar.

From the figure, we have

x / 12 = 2 / 4

      x = 6

Then the correct option is C.

The complete question is attached below.

More about the triangle link is given below.

https://brainly.com/question/25813512

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12x+3y=-9

find y- intercept​

Answers

Answer:

3

Step-by-step explanation:

subtract 3y from both sides

add 9 to both sides

3y=12x+9

divide everything by 3

y=4x+3

y-intercept is 3

4a^2b^2,12ab^2,-8a^2b

Answers

Did that help you...hopefully

Are the triangles similar? Explain how you know.

Answers

Can’t see the numbers

Answer: Yes,these triangles are similar because they are both obtuse, scalene, and they both have three sides

Somebody help ya plz

Answers

Answer:

9

Step-by-step explanation:

They're vertical angles, so they are equal:

5x + 4 = 49

subtract 4 from both sidese

5x = 45

divide both sides by 5

x = 9

Answer: x=9

Step-by-step explanation: First of all, the two shown inner angles are equivalent. This allows you to set up an equation like: (5x+4)=49

Then simply use algebra to solve...

(5x+4)=49

-4 -4 (subtract "4" from each side)

5x=45

5x/5=45/5 (divide each term in the equation by "5")

x=9

Hope this helps!

Which list shows the fractions in order from greatest to least? will mark brainliest !!
pleas help ​

Answers

Answer:

B) 2/3, 1/2, 2/5

As an estimation we are told 5 miles is 8km. Convert 44km to miles

Answers

Answer:

27.5 miles.

Step-by-step explanation:

44km ÷ 8km = 5.5

5.5 x 5 = 27.5

Answer:

27.5 miles

Step-by-step explanation:

i think that's the method I know and I believe that's the answer hope it helps you have a great day.

Solve!
1 + 4 = 5
2 + 5 = 12
3+ 6 = 21
8+11 = ?

EXPLAIN!

Answers

Answer:

1 + 4 = 5

2 + 5 = 12

3 + 6 = 21

8 + 11 = 96

Step-by-step explanation:

Multiplied and added by the same numer:

1+4×1

2+5×2

3+6×3

8×11×8

The value of 8 + 11 = 96.

Here given that,

1 + 4 = 5

2 + 5 = 12

3 + 6 = 21

8 + 11 = ?

How to find Missing number?

Finding the missing number in a sequence or series is a fun activity for student to identity the pattern and memorize numbers, fundamental mathematical operations or even counting.

Now, pattern is given as:

1 x 4 + 1 = 5

2 x 5 + 2 = 12

3 x 6 + 3 = 21

Hence,

8 x 11 +8 = 96

So, The value of 8 + 11 = 96.

Learn more about the Missing number visit:

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i would really appreciate if someone could explain the process to solve it

Answers

Answer:

x = 12°

Detailed explanation down below.

Step-by-step explanation:

Ill be delighted to help

8° + 6x is an exterior angle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

In this situation, those two angles are 30° and 4x+2°

So lets put this in an equation

30° + 4x + 2° = 8° + 6x

4x + 32° = 6x + °8

Now lets subtract 8° from both sides to make it simpler

New equation =

4x + 24° = 6x

Lets evaluate X=

6x - 4x = 24°

2x = 24°

x= 24/2

x= 12°

Walter invested some money at 5% simple interest for 3 years and earned $300. What was the amount he invested?

Answers

the young lad invested 6000$

Answer:2000

Step-by-step explanation:

Samantha buys a shirt that costs $28.50. She uses a
30% coupon. What will Samantha pay for the shirt?

Answers

Samantha buys a shirt that costs $28.50. She uses a
30% coupon. What will Samantha pay for the shirt?
ANSWER IS 8.55

Is 21/2 simplified ?

Answers

Answer: 21/2 can not be simplified anymore!!

Step-by-step explanation:


The measure of an exterior angle of a triangle is 40°. What is the sum of the measures of the corresponding remote interior angles?

Answers

Answer:

Remember that the two non-adjacent interior angles, which are opposite the exterior angle are sometimes referred to as remote interior angles. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The sum of exterior angle and interior angle is equal to 180 degrees


give your answer as mixed fraction and simplest from .​

Answers

Add the whole numbers.
Then add the numerators.

2 2/6 + 3 2/6 = 5 4/6

Simplify the fraction

5 2/3


Which table matches 4x+7y=19?

Answers

Answer:

c

Step-by-step explanation:

The table which matches 4x + 7y = 19 is table (d).

What are Linear Equations?

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Given is a linear equation,

4x + 7y = 19

(a) When x = -18,

7y = 19 - (4 × -18) = 91 ⇒ y = 13

When x = 1,

7y = 15 ⇒ y = 2.14

So the table (a) is not the one.

(b) When x = -9, 7y = 55, y = 7.857

Table (b) is also not the one.

(c) When x = 0, y = 2.7

Hence (c) is also not an option.

(d) When x = -18, y = 13

When x = -11, 7y = 63, y = 9

When x = -4, 7y = 35, y = 5

So the correct option is table (d).

Hence the correct option is table (d).

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find the HCF of the following numbers by prime factorization method 324 & 432​

Answers

Answer:

108

Step-by-step explanation:

324 = 2 * 2 * 3 * 3 * 3 * 3

432 = 2 * 2 * 2 * 2 * 3 * 3 * 3

The HCF is 2 * 2 * 3 * 3 * 3 = 108

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