Amelia can spend no more than $150 to rent a car for a day trip. A rental car costs $35 per day plus $0.75 per mile.What is the maximum number of miles that Amelia can drive?

Answer:

The equation of the line is;

y + 4 = 3(x + 4)

Step-by-step explanation:

The general equation of a line is;

y = mx + b

where m is the slope and b is the y-intercept

To get the equation, let us look at the given intercepts

We have the intercepts at the point (0,5) and (-2,-1)

We have the slope of the line as follows;

m = (y2-y1)/(x2-x1) = (-1-5)/(-2-0) = -6/-2 = 3

So we have the equation as;

y = 3x + b

recall, we have the y-intercept as 5

so the complete equation is;

y = 3x + 5

Now, we can rewrite this as;

y+ 4 = 3(x + 3)

Answer:

99

Step-by-step explanation:

i have all the steps in the comments of ur question

Answer:

805.05333.....

Step-by-step explanation:

To find the volume of a pyramid you need to multiply the bases length, width, height , and [tex]\frac{1}{3}[/tex]

but since 20.7 is not the height then you would need to find it

So imagen a line down the very middle of the pyramid

and connect that with the 20.7in line then connect it again and that makes a triangle.

So there is a formula and it is a²+b²=c²

in this problem a is the missing height b is 11/2 which is 5.5 and c is 20.7

a²+5.5²=20.7²   --->   428.49-30.25=a²   --->398.24=a²  --->19.955951.....=a

11 x 11 x 19.960 x [tex]\frac{1}{3}[/tex] = 805.05333.....

Answer:

volume = 805.05 in³

Step-by-step explanation:

Here's my calculations.

first, finding the true height (not the slope length):

using the Pythagorean theorem:

height² = 20.7² - 5.5² = 428.49 - 30.25 = 398.24

height = √398.24 = 19.96 in

base = 11 x 11 = 121

volume = 1/3bh = 1/3(121)(19.96) = 805.05 in³

Answer:

answer is -1.75

Step-by-step explanation:

[tex]y = 12 \\ y = - 4x + 5 \\ \\ \: \: \: \: 12 = - 4x + 5 \\ - 5 \: \: \: \: \: \: \: \: \: \: \: - 5 \\ \\ 7 = - 4x \\ \div - 4 \: \: \: \: on \: both \: sides \\ \\ - 1.75 = x[/tex]

Step-by-step explanation:

true

and the top and bottom are just circles

The statement is true whenever the cylinder is unrolled the result will be the rectangle.

The Cylinder is a solid geometry with right straight sides and has a circular cross-section.

If we unroll the cylinder we will get a rectangular shape. having four sides two opposite sides are parallel and equal to each other.

Hence the statement is true whenever the cylinder is unrolled the result will be the rectangle.

To know more about cylinders follow

https://brainly.com/question/23935577

#SPJ2

Answer:

$1863

Step-by-step explanation:

The model for exponential decay (depreciation) is [tex]y=y_0e^{-rt}[/tex].

r is the depreciation rate (which can be found first)

t is the time since the initial purchase

y is the value of the car at time t

[tex]y_0[/tex] is the initial purchase price (t = 0)

Year 0 is 1995.

2000 is year 5.

So, [tex]6800=20000e^{-r\cdot5}\\\\\frac{6800}{20000}=e^{-5r}\\[/tex]

To solve for r take the logarithm of both sides.

[tex]-5r=\ln\left({\frac{6800}{20000}\right)\\\\r=-\frac{1}{5}\ln\left({\frac{6800}{20000}\right) \approx 0.215762[/tex]

Now find the value of the car in 2006, which is year t = 11.

[tex]y=20000e^{-0.215762\cdot11} \approx 1863[/tex]

Answer:

3

0

Step-by-step explanation:

Difference means subtraction

5-2 =3..

7-7=0

Answer:

8 weeks

Step-by-step explanation:

Let

w = number of weeks

John = 12 + w

Aiden = 4 + 2w

How many weeks (w) will it be before Aiden knows as many songs as John?

Equate both John and Aiden expression

John = Aiden

12 + w = 4 + 2w

Collect like terms

12 - 4 = 2w - w

8 = w

w = 8 weeks

It will take 8 weeks before Aiden knows as many songs as John

Answer:

1/2bxh  (half a base times the height)

Step-by-step explanation:

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]\frac{bh}{2}=A\\\\\frac{4\times4}{2}=A\\\\\frac{16}{2}=A\\\\8=A\\\\A=8[/tex]

Answer:

The interquartile range is 5

Answer:

hi

Step-by-step explanation:

i think it is 1/10

hope it helps

have a nice day

Answer: D=16

Add 4 to both sides

D=16

Answer:

Answer: 16

Step-by-step explanation:

Do 12 -(-4 to get D

12 -(-4 = 16

Answer:

x=-31/4

Step-by-step explanation:

1/4 =x+8

Step 1: Flip the equation.

x+8=

1

4

Step 2: Subtract 8 from both sides.

x+8−8=

1

4

−8

Answer:

The coordinates are x=1 y=3

Step-by-step explanation:

Answer:

Letter C

Step-by-step explanation:

trust me its right!

Answer:https://youtu.be/QZ_a8VXhiSc?t=187

Step-by-step explanation:https://youtu.be/BX0K5IfPMOA?t=144

Answer:

Step-by-step explanation:

Given the scale factor:

Since the cylinders are similar, the other dimensions should have same scale factor of 1/3.

The volumes are:

Ratio of volumes is the cube of the scale factor, as the volume is the product of 3 dimensions:

Answer:

X=105

reason beng corresponding angle

Answer:

75

Step-by-step explanation:

Answer:

n - k + 1

Step-by-step explanation:

This is assuming (because you did not say) that n and k are integers and n is greater than k.

Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.

Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}

I think it's easier to not factor it, so we will be using formulas.

-b/2a=x

6/2=3=x

y=-25

(3,-25)

Answer:

The height is 18.5cm

Step-by-step explanation:

Given

Let

[tex]y =height[/tex]

[tex]x = time[/tex]

So, we have:

[tex](x_1,y_1) = (5,21.5)[/tex]

[tex](x_2,y_2) = (21,16.7)[/tex]

Required

The height after 15 hours

First, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{16.7-21.5}{21-5}[/tex]

[tex]m = \frac{-4.8}{16}[/tex]

[tex]m = -0.3[/tex]

The linear equation is then calculated as:

[tex]y =m(x - x_1) + y_1[/tex]

Where

[tex]m = -0.3[/tex]

[tex](x_1,y_1) = (5,21.5)[/tex]

This gives:

[tex]y =-0.3(x - 5) + 21.5[/tex]

Open bracket

[tex]y =-0.3x + 1.5 + 21.5[/tex]

[tex]y =-0.3x + 23[/tex]

After 15 hours

[tex]x = 15[/tex]

[tex]y =-0.3*15 + 23[/tex]

[tex]y =-4.5 + 23[/tex]

[tex]y =18.5[/tex]

The height is 18.5cm

Input each points. (x,y) for each equation to find out if the system of equations are equivalent.

Point (-3,4) is a solution of this system of equations.

Point (-2,-6) isn't a solution of this system of equations.

Point (-4,3) is a solution of this system of equations.

Answer:

you correct answer should be 17

Answer:

$12.

Step-by-step explanation:

48 divided by $12 = $12.

Please mark brainiest thank you

Answer:

$5

Step-by-step explanation:

The amount of money spent on snacks is

2/3 × $15= $10

15-10= 5

=$5

or

1/3 ×15

= 5

Answer:

0.20 or 20%

Step-by-step explanation:

We already know that (assuming we aren't counting a car that has seats in the truck area) there are five possible spots to sit in: the driver's seat, the front passenger (famously known as "shotgun"), middle/back left passenger, middle/back right passenger, and middle/back middle passenger.

By dividing 1 from 5 (1/5) you get a 20% chance of sitting in shotgun.

So, not that high, but its better than nothing.

Hope this helped!

Source(s) used: G*ogle Calculator

Answer:

20%

Step-by-step explanation:

Answer:

Hello! Answer: B

Step-by-step explanation:

Because 112 is 70% of 160

The answer is A. 48

looked it up.

Answer:

It would be D

Step-by-step explanation:

Answer:

1:23

Step-by-step explanation:

20 / 460

= 1 / 23

= 1:23