Mike drove 100 miles in a rental car and was charged $58.00. Jane rented the same car after Mike had rented it and was charged $65.00 for 170 miles. Write an equation to represent y, the total rental cost, in terms of x, the number of miles driven.

Answer:

cc

Step-by-step explanation:

Answer:

its the first one.

Answer:

b

Step-by-step explanation:

Answer:

The dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Step-by-step explanation:

We have that:

[tex]Area = 128[/tex]

Let the dimension of the paper be x and y;

Such that:

[tex]Length = x[/tex]

[tex]Width = y[/tex]

So:

[tex]Area = x * y[/tex]

Substitute 128 for Area

[tex]128 = x * y[/tex]

Make x the subject

[tex]x = \frac{128}{y}[/tex]

When 1 inch margin is at top and bottom

The length becomes:

[tex]Length = x + 1 + 1[/tex]

[tex]Length = x + 2[/tex]

When 2 inch margin is at both sides

The width becomes:

[tex]Width = y + 2 + 2[/tex]

[tex]Width = y + 4[/tex]

The New Area (A) is then calculated as:

[tex]A = (x + 2) * (y + 4)[/tex]

Substitute [tex]\frac{128}{y}[/tex] for x

[tex]A = (\frac{128}{y} + 2) * (y + 4)[/tex]

Open Brackets

[tex]A = 128 + \frac{512}{y} + 2y + 8[/tex]

Collect Like Terms

[tex]A = \frac{512}{y} + 2y + 8+128[/tex]

[tex]A = \frac{512}{y} + 2y + 136[/tex]

[tex]A= 512y^{-1} + 2y + 136[/tex]

To calculate the smallest possible value of y, we have to apply calculus.

Different A with respect to y

[tex]A' = -512y^{-2} + 2[/tex]

Set

[tex]A' = 0[/tex]

This gives:

[tex]0 = -512y^{-2} + 2[/tex]

Collect Like Terms

[tex]512y^{-2} = 2[/tex]

Multiply through by [tex]y^2[/tex]

[tex]y^2 * 512y^{-2} = 2 * y^2[/tex]

[tex]512 = 2y^2[/tex]

Divide through by 2

[tex]256=y^2[/tex]

Take square roots of both sides

[tex]\sqrt{256=y^2[/tex]

[tex]16=y[/tex]

[tex]y = 16[/tex]

Recall that:

[tex]x = \frac{128}{y}[/tex]

[tex]x = \frac{128}{16}[/tex]

[tex]x = 8[/tex]

Recall that the new dimensions are:

[tex]Length = x + 2[/tex]

[tex]Width = y + 4[/tex]

So:

[tex]Length = 8 + 2[/tex]

[tex]Length = 10[/tex]

[tex]Width = 16 + 4[/tex]

[tex]Width = 20[/tex]

To double-check;

Differentiate A'

[tex]A' = -512y^{-2} + 2[/tex]

[tex]A" = -2 * -512y^{-3}[/tex]

[tex]A" = 1024y^{-3}[/tex]

[tex]A" = \frac{1024}{y^3}[/tex]

The above value is:

[tex]A" = \frac{1024}{y^3} > 0[/tex]

This means that the calculated values are at minimum.

Hence, the dimensions of the smallest piece that can be used are: 10 by 20 and the area is 200 square inches

Answer:

и я очень ценю тебя

Step-by-step explanation:

s Я хотел сообщить вам, что причина, по которой я не показывалась, в том, что мой стол сломался. Я нахожусь в положении, когда мне едва хватает места, чтобы переместить компьютер, поэтому я не могу наклонить камеру

Answer:

Step-by-step explanation: The rule of four is not required by the Constitution, any law, or even the Supreme Court's own published rules. Rather, it is a custom that has been observed since the Court was given discretion over which appeals to hear by the Judiciary Act of 1891, Judiciary Act of 1925 and the Supreme Court Case Selections Act of 1988.[1]

The "Rule of Four" has been explained by various Justices in judicial opinions throughout the years.[2] For example, Justice Felix Frankfurter described the rule as follows: "The ‘rule of four’ is not a command of Congress. It is a working rule devised by the Court as a practical mode of determining that a case is deserving of review, the theory being that if four Justices find that a legal question of general importance is raised, that is ample proof that the question has such importance. This is a fair enough rule of thumb on the assumption that four Justices find such importance on an individualized screening of the cases sought to be reviewed."[3]

Answer:

20 %

Step-by-step explanation:

tell me if I'm wrong , your welcome and merry Christmas !!

Answer: 20%

Step-by-step explanation: 50 times 5 is 250. If you take 5 out of 100 you get 20’s

Ansnwer

i was asking  this

Step-by-step explanation:

i was asking the same thing

28

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Answer:

3

Step-by-step explanation:

29 = 10x - 1

+4

30 = 10x

30 divided by 10 = 3

3 = x

So Addy is 3.

Answer:

Step-by-step explanation:

Answer:

43.2

Step-by-step explanation:

convert percentage (32%) by moving decimal to left 2 places = 0.32

135 * 0.32 = 43.2

Answer:

undefined

Step-by-step explanation:

The line on the graph is completely vertical, which is characteristic of an undefined graph.

Answer:

The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Step-by-step explanation:

The explicit formula of the arithmetic sequence of the recursive formula

a[tex]_{1}[/tex] = first term; a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] + d is a[tex]_{n}[/tex] = a + (n - 1)d, where

∵ The recursive formula is a[tex]_{1}[/tex] = -1 and a[tex]_{n}[/tex] = a[tex]_{n-1}[/tex] - 6

→ Compare it with the formula above

∴ a = -1 ⇒ 1st term

∴ d = -6 ⇒ common difference

→ Substitute them in the form of the explicit formula

∵ a[tex]_{n}[/tex]  = -1 + (n - 1)(-6)

∴ a[tex]_{n}[/tex] = -1 + (-6)(n) - (-6)(1)

∴ a[tex]_{n}[/tex]  = -1 + -6n - (-6)

∴ a[tex]_{n}[/tex] = -1 - 6n + 6

→ Add the like term

∴ a[tex]_{n}[/tex] = 5 - 6n

∴ The explicit formula is a[tex]_{n}[/tex] = 5 - 6n

Answer:

84

Step-by-step explanation:

(3× + 12)+ (5× +9) +(2× +9) = 180degrees

10× + 30 = 180

10× = 180-30

× = 15

5×15+9 = 84

I am the one who commented on your question "Who's good at Math", I am the locrival one to be specific but for me, the answer would be the first choice which is the "f(x)=400+15(x-40)". The first choice is my answer because if you compute it the equivalent is 13.3, it is also my answer because for all the choices, it is the only one positive.

Answer:

C. producer

Step-by-step explanation:

producers are plants and they provide food and shelter for small animals and stuff.

Answer:

12x-18

Step-by-step explanation:

expanded expression 3⋅x⋅2⋅x+3⋅x⋅4+2⋅x+4

expanded and reduced expression 4+14⋅x+6⋅x

Answer:

20%

Step-by-step explanation:

We can start by looking at it as a ratio, so 4 divided by 20 and 4/20 = 0.2, so that would be 20% viewing 1=100%.

Another way is

20 here is 100%, and for 20 to equal 100, we have to multiply it by 5. To balance it out, multiply the top by 5 as well, and 4 * 5 =20. Therefore, 4/20 = 20%

Answer:

31 r6

Step-by-step explanation:

i think it should be right

First find slope

Given points: (0,4), (2,1)

(1-4)/(2-0) = -3/2

Y = -3/2x + b

4 = -3/2(0) + b, b = 4

Solution: y = -3/2x + 4

Answer:There are infinitely many real solutions

Step-by-step explanation:

y=-2x-10

Hope this helps!

Answer: 1/4 (0.25)

I hope this helps, and Happy Holidays! :)

Answer:

C. x - 5y - 30 = 0

Step-by-step explanation:

Y = x/5 - 30

y + 30 = x/5

you multiply both sides by 5

5y + 30 = x

you subtract x from both sides

- x + 5y + 30 = 0

which is the same as

x - 5y - 30 = 0

Answer:

115x=y

Step-by-step explanation:

Answer:

16.2

Step-by-step explanation:

Add all of them p and divide by the total values. SO there are 9 values, you first add the all up and divide by 9. Easy :)

Answer:

19 years

Step-by-step explanation:

Initial height of tree when Samiya bought the tree = 3 inches

Growth in the height of tree every year = 5 inches

Number of years = [tex]y[/tex]

Growth in the height of tree in [tex]y[/tex] years = 5 inches multiplied by number of years

Growth in the height of tree in [tex]y[/tex] years = 5[tex]y[/tex] inches

To find:

Number of years taken by the tree to be 8 ft or 96 inches.

Solution:

The equation for height of tree after [tex]y[/tex] years can be written as:

3 + 5[tex]y[/tex] which is to be compared with 96 inches.

Therefore, the equation is:

[tex]3 + 5y = 96\\\Rightarrow 5y=93\\\Rightarrow y \approx 19[/tex]

Therefore, it will take 19 years for the tree to reach a height of 96 inches.