Audrey charges a flat fee of $4 for each delivery plus a certain amount, in dollars per mile , for each mile she drives .for a distance of 30 miles ,Curtis and Audrey charge the same amount . How much dose Audrey charge ,in dollars per miles ?show or explain all your work

Answer:

uno a tres

Step-by-step explanation:

Creo que es correcto

Avísame si estoy equivocado

Y que tengas un feliz día de acción de gracias

The actual area of the closet's floor is 3.52 square meters.

To find the actual area of the closet's floor, we first need to convert the dimensions from the scale drawing to their actual dimensions.

According to the given scale, 2 cm on the scale drawing represents 1 meter in reality. Thus, to convert the dimensions from the scale drawing to actual dimensions, we need to multiply each dimension by the conversion factor:

Actual length = 4.4 cm × (1 m / 2 cm) = 2.2 m

Actual width = 3.2 cm × (1 m / 2 cm) = 1.6 m

Now that we have the actual dimensions, we can calculate the actual area of the closet's floor:

Actual area = Actual length × Actual width

= 2.2 m × 1.6 m

= 3.52 square meters

Therefore, the actual area of the closet's floor is 3.52 square meters.

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Answer:

see explanation

Step-by-step explanation:

(a)

Expressed as the product of its prime factors

324 = 2² × \(3^{4}\)

(b)

\(\sqrt{324}\)

= \(\sqrt{2^2}\) × \(\sqrt{3^{4} }\)

= 2 × 3²

= 2 × 9

= 18

Answer:

B) p<5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

D. 28 dollars

Step-by-step explanation:

42% = .42

"of" means to multiply

68.89 × .42= 28.9

28 is the closest answer.

Answer:

The answer would be D.28 dollars

Step-by-step explanation:

Its 28 dollars because,

Discount = Original Price x Discount %/100

Discount = 68.99 × 42/100

Discount = 68.99 x 0.42

You save = $28.98

Final Price = Original Price - Discount

Final Price = 68.99 - 28.9758

Final Price = $40.01

Answer:

y = - 3

Step-by-step explanation:

Given

8(y - 3) = - 48 ( divide both sides by 8 )

y - 3 = - 6 ( add 3 to both sides )

y = - 3

The function f'(2) is  32 / 7 and f(-5) = -445.

To find f'(2) for the equation 3^4 + f(x) + x^2(f(x))^2 = 0, we need to differentiate both sides of the equation with respect to x. Since we are evaluating f'(2), we are finding the derivative at x = 2.

Differentiating the equation:

d/dx [3^4 + f(x) + x^2(f(x))^2] = d/dx [0]

0 + f'(x) + 2x(f(x))^2 + x^2(2f(x)f'(x)) = 0

Since we are looking for f'(2), we can substitute x = 2 into the equation:

0 + f'(2) + 2(2)(f(2))^2 + (2)^2(2f(2)f'(2)) = 0

Simplifying the equation using the given information f(2) = -2:

f'(2) + 8(-2)^2 + 4(-2)(f'(2)) = 0

f'(2) + 8(4) - 8(f'(2)) = 0

f'(2) - 8f'(2) + 32 = 0

-7f'(2) + 32 = 0

-7f'(2) = -32

f'(2) = -32 / -7

f'(2) = 32 / 7

Therefore, f'(2) = 32 / 7.

For the second part of the question, we are given the equation 2g(x) + 7x sin(g(x)) = 28x^2 + 67x + 40 and g(-5) = 0. We need to find f(-5).

Since we are given g(-5) = 0, we can substitute x = -5 into the equation:

2g(-5) + 7(-5)sin(g(-5)) = 28(-5)^2 + 67(-5) + 40

0 + (-35)sin(0) = 28(25) - 67(5) + 40

0 + 0 = 700 - 335 + 40

0 = 405 + 40

0 = 445

Therefore, f(-5) = -445.

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For all the given sequence of transformations, Rectangles ABCD and WXYZ will be similar.

It is given that Rectangles ABCD and WXYZ are similar, but not congruent.

For all the transformations given represents the similar rectangles. Dilations, rotations, translations and reflections all lead to similar figures.

Therefore, for all the given sequence of transformations, Rectangles ABCD and WXYZ will be similar.

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The measure of angle ACE is 28 degrees

To determine the measure of the angle, we need to know the following;

From the information shown in the diagram, we have that;

<ACB + ACD = 90

substitute the angle, we have;

62 + ACD = 90

collect the like terms, we get;

ACD = 90 - 62

ACD = 28 degrees

But we can see that;

<ACE and ACD are corresponding angles

Thus, <ACE = 28 degrees

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Answer: 3

Step-by-step explanation:

A simple way to calculate the distance between numbers on a number line is to count every number between them. A faster way is to find the distance by taking the absolute value of the difference of those numbers. We have to find PQ. TAking the difference we have 94-91= 3.

Answer:

\(3\)

Step-by-step explanation:

You can find the length by subtracting.

\(Q-P\)

\(94-91\)

\(=3\)

You can also find the length by counting the units of the distance covered between the points.

Answer:

2.5

Step-by-step explanation:

2.5x4=10

10-10=0

a)There are 15,120 agent arrangements where order is important.b)The number of agent arrangements where order is not important is 1.

(a) When order is important, we are looking for the number of permutations. To calculate the number of agent arrangements for the 5 new customers, we use the formula:

nPr = n! / (n-r)!

where n is the number of agents (9), r is the number of customers (5), and ! represents the factorial.

9P5 = 9! / (9-5)!
= 9! / 4!
= 15,120

There are 15,120 agent arrangements where order is important.

(b) When order is not important, we are looking for the number of combinations. In this case, since each customer must be assigned an agent, there's only one way to distribute the agents, as all customers will receive service regardless of agent order. Therefore, the number of agent arrangements where order is not important is 1.

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Step 1: 3x + 2 - 4x Distributive Property: The distributive property is used to multiply the 2 by the 4x, resulting in 8x.

The distributive property is a rule of mathematics that states that when you multiply a number by the sum of two other numbers, the result is the same as if you had multiplied the number by each of the two numbers separately and then added the results together. This property is also known as the distributive law of multiplication over addition. For example, if you are asked to multiply 3 x (2 + 5), you can use the distributive property to calculate it as 3 x 2 + 3 x 5, which equals 6 + 15, or 21.

Step 2: 3x + 8x, Combine Like Terms: The like terms of 3x and 8x are combined, resulting in 11x.
Step 3: 11x ÷ 11, Division Property: The division property is used to divide 11x by 11, resulting in x.

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Step-by-step explanation:

(6+b)/b = x (= an integer number)

6 + b = bx (= still an integer number)

6 = bx - b = b(x - 1) (= still an integer number)

b = 6/(x - 1) (= still an integer number)

now for b to be integer, (x-1) must be a factor of 6 (6 must be divisible by x-1 with 0 remainder).

and integer includes negative numbers too.

the factors of 6 are therefore

1, 2, 3, 6, -1, -2, -3, -6

so, b can be 6/±1 = ±6

b can be 6/±2 = ±3

b can be 6/±3 = ±2

b can be 6/±6 = ±1

so, all possible values for b are also the listed factors of 6 :

-6, -3, -2, -1, 1, 2, 3, 6

The hypothesis among the given options is Option (4) "The number of hours college students play video games will inversely correlate with their overall GPA."

A hypothesis is a statement that proposes a possible explanation for a particular phenomenon or relationship between two or more variables. It is an assumption that can be tested using scientific methods, and it helps to guide research and experimentation. A hypothesis usually takes the form of a testable prediction or an assertion about a cause-and-effect relationship.

Option 4) "The number of hours college students play video games will inversely correlate with their overall GPA" is an example of a hypothesis. A hypothesis is a testable statement that predicts a relationship between two or more variables. In this case, the hypothesis predicts an inverse correlation between the number of hours played of video games and the overall GPA of college students.

Therefore, the correct option is (4) The number of hours college students play video games will inversely correlate with their overall GPA

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According to the diagram, there are eight fractions of 3/8 in three.

We are shown a diagram of three equal parts divided into eight equal parts.

Divide 3 by 8 to get the value of the equal part.

As a result, the value of each can be given as 3/8.

Therefore There are 8 groups of 3/8 in 3 as per the given diagram.

The diagram is attached below:

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The rate of change is represented by the slope of each club.

For Club A is 12.

For Club B we calculate using the formula

The value is 21.

For Club C we apply the same formula and use the poins shown in the graphic

For club D the slope is the value that is paid each month

which in this case is $20

According to this the greatest rate of chande is for Health Club B

Answer:

40 sq units

Step-by-step explanation:

There is an area formula for rhombus that uses the diagonals of the rhombus.

Area_rhombus

= (d1 × d2)/2

The diagonals of the rhombus are the length and width of the rectangle, which we know that product.

Area_rectangle

= length × width

= 80 sq units

Area_rhombus

= 80/2

= 40

The area of the rhombus is 40 sq units.

Answer:

The answer should be B.

Step-by-step explanation:

If you have 5 qualified candidates to fill the positions of president and vice president, then their have 20 ways to be fill the positions.

In the given question,

If you have 5 qualified candidates to fill the positions of president and vice president, then we have to find how many ways can the positions be filled.

We have total 5 qualified question.

Their have total 2 position president and vice president.

When the one position one of president filled then their one left 4 qualified candidate for the vice president position.

So the possible ways to fill the position is find by multiplying the 5 and 4. So

Possible ways=5*4

Possible ways=20

Hence, if you have 5 qualified candidates to fill the positions of president and vice president, then their have 20 ways to be fill the positions.

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Answer:

answer is 56

Step-by-step explanation:

you want to multiply both numbers and that is your answer.

In a lumped parameter analysis, the temperature profile with time is typically represented by an exponential curve, option a

1. Lumped parameter analysis: This analysis assumes that the system being studied can be represented by a single node or point with uniform properties. It simplifies the problem by neglecting spatial temperature variations within the system.

2. Temperature profile: The temperature profile refers to how the temperature changes within the system over time.

3. Exponential curve: In many cases, the temperature profile in a lumped parameter analysis follows an exponential curve. This curve represents an exponential decay or growth of temperature over time. The rate of change of temperature decreases exponentially as time progresses.

4. Reasoning: The exponential curve is commonly observed in situations involving heat transfer, such as the cooling or heating of objects. It occurs due to the exponential relationship between the temperature difference and the rate of heat transfer. As the temperature difference decreases, the rate of heat transfer decreases, resulting in a gradual approach to equilibrium.

Therefore, the correct answer is (a) Exponential.

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Answer:

$494

Step-by-step explanation:

Given data

Amount transfer= $6

Balance after transfer= $488

Let the total amount in the account before the transfer be x

Hence

x-6= 488

x= 488+6

x=$494

Hence the amount in the account before the transfer is $494

Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= $5,000

Unitary variable cost= $25

First, we need to structure the total cost formula:

Total cost= fixed costs + unitary cost*number of units

Total cost= 5,000 + 25*x

x= number of units

For 100:

Total cost= 5,000 + 25*100= $7,500

For 150:

Total cost= 5,000 + 25*150= $8,750

For 200:

Total cost= 5,000 + 25*200= $10,00

For 250:

Total cost= 5,000 + 25*250= $11,250

For 300:

Total cost= 5,000 + 25*300= $12,500

Answer:

Where is the a. b. c. or d?