A rental car company charges an upfront fee to rent a car, and then charges $0.40 per mile driven. Suppose you rent a car from this company. Let (n) represent the varying number of miles that you drive in the car, and let (c) represent the total cost (in dollars) you will have to pay for the rental car.

a. The number of miles driven, n, and the total cost of renting the car, c, are related by a constant rate of change.
What is this constant rate of change?

Answer:

2000 times

Step-by-step explanation:

I'm assuming you mean 4*10^3 and 8*10^6.

8*10^6/(4*10^3)

=(8/4)*(10^6/10^3)

=2*(10^3)

=2*1000

=2000 times

Answer:

0.79

Step-by-step explanation:

9514 1404 393

Answer:

  $133

Step-by-step explanation:

Put 14 where t is in the formula and do the arithmetic.

  c = -9.5×14

  c = 133 . . . . cost in dollars

Sanjay paid $133 for the 14 t-shirts he bought.

An angle is produced at the point where two or more lines meet. Thus the value of LP required in the question is approximately 14.

Two lines are said to be perpendicular when a measure of the angle between them is a right angle. While parallel lines are lines that do not meet even when extended to infinity.

From the question, let the length of LP be represented by x.

Thus, from the given question, it can be deduced that;

LM ≅ PN = 20

KP = KN - PN

    = 30 - 20

KP = 10

LP = x

Also,

<MLP is a right angle, so that;

< KLP = < KLM - <PLM

         = 126 - 90

<KLP = \(36^{o}\)

So that applying the Pythagoras theorem to triangle KLP, we have;

Tan θ = \(\frac{opposite}{adjacent}\)

Tan 36 = \(\frac{10}{x}\)

x = \(\frac{10}{Tan 36}\)

  = \(\frac{10}{0.7265}\)

x = 13.765

Therefore the side LP ≅ 14.

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Answer:

One shirt costs $7.50.

One pair of shorts cost $15.45

Step-by-step explanation:

The solution is

a) The number is 6

b) The equation of the parabola is y = x² + 4x + 96 with vertex ( -2 , 92 ) and the y intercept is ( 0 , 96 ) and the axis of symmetry is x = -2

What is a Parabola?

A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

y is the directrix and y = k – p

The equation of the parabola is also given by the equation

y = ax² + bx + c

where a , b , and c are the three coefficients and the parabola is uniquely identified

Given data ,

a)

Let the equation be represented as A

Now , the value of A is

Let the number be = n

A = Two-fifth of the sum of a number and 24 is equal to 5 times the number decreased by 18

Substituting the values in the equation , we get

2/5 ( n + 24 ) = 5n - 18

On simplifying the equation , we get

Multiply by 5 on both sides of the equation , we get

2 ( n + 24 ) = 25n - 90

2n + 48 = 25n - 90

Subtracting 2n on both sides of the equation , we get

23n - 90 = 48

Adding 90 on both sides of the equation , we get

23n = 138

Divide by 23 on both sides of the equation , we get

n = 6

Therefore , the number is 6

b)

The equation of parabola is given as

y = x² + 4x + 96

Now , the equation can be simplified as

y = (x + 2)² + 92

The equation of the parabola is given by

( x - h )² = 4p ( y - k )

where ( h , k ) is the vertex and ( h , k + p ) is the focus

Substituting the values in the equation , we get

The vertex of the parabola is P ( -2 , 92 )

The y intercept of the parabola is ( 0 , 96 )

The axis of symmetry of parabola is x = -2

Hence , the equation of parabola is y = (x + 2)² + 92

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Answer:

y = -4x/5 - 6

5y = -4x - 30

4x + 5y = -30

2 The question isn't well formatted, thus the length and width aren't given. Hence, we take a value in place of both to. Obtain an hypothetical solution.

Answer:

60 in³

Step-by-step explanation:

To obtain the volume eof a rectangular prism, we use the formular :

Volume of rectangular prism = Length * width * height

Let width = 5 inches ; height = 6 inches; lebgth = 2 inches

Volume of rectangular prism = (6 in * 5 in * 2 in) = 60 in³

Kindly note that the width and height values are hypothetical values as the values in the question aren't well formatted.

Answer:

The answer to you question is D or the last one.

Step-by-step explanation:

I took the test on Edg

The equation that represent this situation is (3/5) * b = 79.50

An equation is an expression that shows the relationship between two or more numbers and variables.

Let b represent the amount of the total bill. Given that 3.5 of the total bill was for labor cost.

For a labor of $79.50

(3/5) * b = 79.50

The equation that represent this situation is (3/5) * b = 79.50

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Answer:

Brian sold 35 tickets.

Step-by-step explanation:

42 x 5/6 = 35

Answer:

v = 5

Step-by-step explanation:

Collect like-terms:

\(8v = 3v + 25\)

\(8v - 3v = 25\)

\(5v = 25\)

Divide both sides by 5 to make v the subject:

\(v = 5\)

Answer:

Let x be the distance traveled by you to the north and y be the distance traveled by your friend to the west. Let d be the distance between you and your friend at time t. Then, we have:

d^2 = x^2 + y^2

Taking the derivative of both sides with respect to time, we get:

2d (dd/dt) = 2x(dx/dt) + 2y(dy/dt)

Simplifying this expression, we get:

dd/dt = (x(dx/dt) + y(dy/dt)) / d

Since you are driving north at a constant speed v and your friend is driving west at a constant speed w, we have:

dx/dt = v and dy/dt = -w

Substituting these values and simplifying, we get:

dd/dt = (v^2 + w^2)^0.5

Therefore, the speed of separation between you and your friend at time t is the square root of the sum of the squares of your speeds.

To find the second derivative of the distance between you and your friend, we take the derivative of dd/dt with respect to time:

d^2d/dt^2 = (v dv/dt + w dw/dt) / (v^2 + w^2)^0.5

Since v and w are constant, their derivatives with respect to time are zero, so the second derivative of the distance between you and your friend is zero.

Suppose you wait for an hour (i.e., t = 1 hour) before driving off to the north. Then, at time t > 1 hour, the distance between you and your friend is given by:

d = (vt)^2 + ((t-1)w)^2)^0.5

Taking the derivative of both sides with respect to time, we get:

dd/dt = 2v^2t / (2((vt)^2 + ((t-1)w)^2)^0.5)

Simplifying this expression, we get:

dd/dt = v / ((v^2 + ((t-1)w)^2)^0.5)

Therefore, the speed of separation between you and your friend at time t (greater than one hour) is given by v divided by the square root of the sum of the squares of your speed and your friend's speed.

The second derivative of the distance between you and your friend is given by:

d^2d/dt^2 = -vw(t-1) / ((v^2 + ((t-1)w)^2)^1.5)

Answer:

174 cm²

Step-by-step explanation:

The figure given is a prism with isosceles trapezoid as base.

Its surface area can be calculating the area of each face that makes up the prism, and summing all together.

There are 6 faces. Their dimensions and areas can be calculated as follows:

2 isosceles trapezium:

It has 2 parallel bases, (a and b), of 4cm and 6cm,

Height (h) = 2.8cm

Area = ½(a+b)*h

Area = ½(4+6)*2.8

Area = ½(10)*2.8 = 5*2.8 = 14 cm²

4 rectangles of different dimensions:

Rectangle 1 (down face): l = 10cm, b = 4cm

Area = 10*4 = 40 cm²

Rectangle 2 and 3 (side faces): l = 10cm, b = 3cm

Area = 2(l*b) = 2(10*3) = 60cm²

Rectangle 4 (top face) = l = 10cm, b = 6cm

Area = 10*6 = 60cm²

Surface area of the figure = 14 + 40 + 60 + 60 = 174 cm²

Answer:

K5.60.

Step-by-step explanation:

Answer: 3 3/4

Step-by-step explanation: brainliest plsss

Thus, the solution set for the cost of each notebook that can be bought by George is:  (0 ≤ x ≤ 6).

A linear equation is a one-variable equation of the a straight line. The variable only has one power, which is 1. Simple algebraic operations are used to solve linear equations in one variable, which can have the form ax+b=0.

Given that:

So, the linear equation follows

Amount for 4 notebooks + Left amount  = total amount

4*x + 12 ≤ 36

4x ≤ 36 - 12

4x ≤ 24

x ≤ 24/4

x ≤ 6

So, (0 ≤ x ≤ 6)

Thus, the solution set for the cost of each notebook that can be bought by George is:  (0 ≤ x ≤ 6).

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Answer:

i think that is it a or b NO ITS B

Step-by-step explanation:

Explanation: The circle equation can be represented as follows

where a and b represents the coordinates x and y of the center of the circle and r represents the ratio.

Step 1: Once we already know all the information we need we can substitute in the formula as follows

Final answer: So the final answer is

.

Answer:

\(16^x = 1/64\)

\((2^4)x=64-^1=(2^6)=2-^6\)

\(2^4x=2-^6\)

\(4x=-6\)

\(x = - \frac{6}{4} = - \frac{3}{2} \)

Step-by-step explanation:

\(Thanks!!!\)

Answer:

Step-by-step explanation:

Answer:

57.1428571429 miles per hour Round off the answer to what your teacher asked.

Step-by-step explanation:

Since we want final answer in miles per hour, lets change the 30 mins to 0.5 hours

Phase 1 =25miles per 0.5 hours

Phase 2 = (200miles-25miles) per 3 hours

Speed = distance/time

Average speed = total distance/ time

Total distance is 200miles because both phases say from new york that means it travels 25 miles away from new york then 3 hours later it is 200 miles away from new york

total time =3 hours+0.5 hours = 3.5 hours

Average speed = 200/3.5

Average speed = 57.1428571429 miles per hour

Rate brainliest please

We want to get the average speed between the 30 minute and 3-hour time frame.

The average speed in that time frame is 70 miles per hour.

We will define average speed as the quotient between the distance travelled and the time it takes to travel that distance.

We know that at 30 minutes, the car is 25 miles away from NY

At 3 hours, the car is 200 miles away from NY.

So the distance travelled in that time frame is:

200 miles - 25 miles = 175 miles.

And the time between 30 minutes and 3 hours is just:

3 h - 0.5h = 2.5 h

So the average speed is:

S = (175 mi)/(2.5 h) = 70 mi/h

The average speed is 70 miles per hour.

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Answer:

16 the the tenth power

Step-by-step explanation:

four to the second power is ... 400

4×4≈16

(4+4=8)

(8+8=16)

(400-300=100)

(100-96=4)

we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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Answer:

x = 2,5

Step-by-step explanation:

\(3(3 - 2x) = 2x - 11\)

\(9 - 6x = 2x - 11\)

Put numbers with x's to the left, and the plain numbers to the right:

\( - 6x - 2x = - 11 - 9\)

\( - 8x = - 20\)

\(x = 2.5\)

The value of the equation is A = 4x² + 28x + 48

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( 2x + 6 ) ( 2x + 8 )   be equation (1)

Now , on simplifying the equation , we get

A = 2x ( 2x + 8 ) + 6 ( 2x + 8 )

On further simplification , we get

A = 2x ( 2x ) + 2x ( 8 ) + 6 ( 2x ) + 6 ( 8 )

A = 4x² + 16x + 12x + 48

A = 4x² + 28x + 48

Therefore , the value of A is 4x² + 28x + 48

Hence , the equation is A = 4x² + 28x + 48

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Answer: Here is the calculation:

The cost of the wings is $0.25 per wing

The cost of the pitcher of beverage is $5

The cost of the ranch dip is $1.50

Sales tax is 8.5%, so you need to add 8.5/100 * (5+1.5) = 0.0825 to the cost of the beverage and dip.

The cost of the beverage and dip after tax is 5+1.5+0.0825 = 6.5825

The total cost of the wings, beverage, and dip before tip is 6.5825 + 20 = 26.5825

You need to leave a 20% tip, so you need to add 0.2*26.5825 =5.31650 to the total cost

The total cost of the wings, beverage, dip and tip is 26.5825+5.31650 = 31.899

So you have $20 and you want to spend $31.899 including tax and tip, you can purchase 20/0.25 = 80 chicken wings.

Step-by-step explanation:

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer:

\(B(x_2,y_2)= (20,12)\)

Step-by-step explanation:

Given

\(A = (0,0)\)

\(Ratio; m : n = 1 : 3\)

\(Point\ at\ 1 : 3 = (5,3)\)

Required

Coordinates of B

This question will be answered using line ratio formula;

\((x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})\)

In this case:

\((x,y) = (5,3)\)

\((x_1,y_1) = (0,0)\)

\(m : n = 1 : 3\)

Solving for \((x_2,y_2)\)

\((x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})\) becomes

\((5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})\)

\((5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})\)

\((5,3) = (\frac{x_2}{4},\frac{y_2}{4})\)

Comparing the right hand side to the left;

\(\frac{x_2}{4} = 5\) -- (1)

\(\frac{y_2}{4} = 3\) -- (2)

Solving (1)

\(x_2 = 5 * 4\)

\(x_2 = 20\)

Solving (2)

\(y_2 = 3 * 4\)

\(y_2 = 12\)

Hence;

\(B(x_2,y_2)= (20,12)\)

Answer:

1. red humans, or aleins?

2. i dont  know to be honest

3. -7 yrs old?

Answer:

I dont know

Step-by-step explanation:

If you're eating a bag of water for breakfast at night how many guitars do you need to milk a cow?