K
If your car gets 30 miles per gallon, how much does it cost to drive 320 miles when gasoline costs $2.80 per gallon?
The cost is $
(Simplify your answer. Round to the nearest cent as needed.)

Answers

Answer 1
320 miles divided by 30 miles is 10.6667 miles
10.6667 miles times $2.80 is $29.8668
$29.8668 = $29.87

It would cost about $29.87.

Related Questions

What is the greatest common factor of 24 and 8

Answers

Answer:

8

Step-by-step explanation:

hope i help

Answer:

8 is the gcf

welcome

Please help, answer all of the questions, I can check if it's correct or incorrect, just for you to be aware.

Answers

Answer:

  N, Y, N, Y, Y

Step-by-step explanation:

Given 5 scenarios, you want to know which of them involves a proportional relationship.

Proportional relation

A relation is proportional if the "output" is zero when the "input" is zero, and the rate of change is constant. The graph of a proportional relationship is a straight line through the origin.

Any relation involving a base cost or flat fee will not be a proportional relationship. The graph of such a relation may be a straight line, but it will not go through the origin.

Application

In the given scenarios, the cost of the pizza has an associated base cost. The cost of the bike rental has a flat fee. Neither of these relations are proportional relations.

The others all have a constant rate of change:

$45 per month60 miles per hour$12 per hour

These relationships are proportional.

evaluate this please

Answers

Answer: the answer is 1/16

Write the numbers in order from greatest to least. 15491, 15076, 15096, 15620

Answers

Answer:15620, 15491, 15096, 15076

Step-by-step explanation:

Which expression represents “5 more than the difference of 15 and 7”?

Answers

The expression that represents “5 more than the difference of 15 and 7 is (15 - 7) + 5 and the value will be 13.

How to illustrate the information?

It should be noted that an expression is used to show the relationship that exists between the variables that are illustrated.

In this case, it should be noted that we wat to know the expression that represents “5 more than the difference of 15 and 7.

This will be:

= (15 - 7) + 5

= 13.

Therefore, the expression that represents “5 more than the difference of 15 and 7 is (15 - 7) + 5 and the value will be 13.

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How can the statement be rewritten as a conditional statement in if-then form?

A rectangle with 4 congruent sides is a square.

If a rectangle has 4 congruent sides, then it is a square.
If a figure has 4 congruent sides, then it is a square.
If a figure has 4 congruent sides, then it is a rectangle or square.
If a figure is a rectangle, then it is a square.

Answers

The  statement be rewritten as a conditional statement in if-then form as If a rectangle has 4 congruent sides, then it is a square.

What is conditional statement ?

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

Given:

The conditional statement is  A rectangle with 4 congruent sides is a square.

According to given question we have

The conditional statement is given as A rectangle with 4 congruent sides is a square.

The counterexample must satisfy the hypothesis of the conditional statement.

So, '' If a rectangle has 4 congruent sides, then it is a square.''

Therefore, the  statement be rewritten as a conditional statement in if-then form as If a rectangle has 4 congruent sides, then it is a square.

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Answer: A

Step-by-step explanation:

i took it

Write a piecewise
function that represents
the total cost y (in
dollars) of ordering
x custom shirts. Then
interpret the domain
and range of the
function. Determine
the total cost of
ordering 26 shirts.

Answers

The cost of ordering 26 shirts will be 430.8 dollars.

What is a piecewise function ?

As the name suggest piecewise a piecewise function behaves differently for different domains or we can say that a function which has different parts.

According to the question given we have to write piecewise functions for ordering custom shirts.

Here y is the cost in dollars and x is the no. of shirts and also given that a 20 dollar processing fee is need for all orders and it is our constant in the function.

For 0 to 24 shirts or when 0<x≤24 and x ∈ N.

f(x) = 17x + 20.

∴Domain of the function is (0,24] and range of the given function is [37,428]

For 25 to 49 shirts or when  25≤x≤29 and x ∈ N.

f(x) = 15.80x + 20.

∴ Domain of this function is [25,49] and range of the function is [415,794.2].

For 50+ shirts or when x≥50 and x ∈ N.

f(x) = 14x + 20.

∴ Domain of this function is [50,∞) and range of this function is [720,∞].      

Now we have to determine the total cost of ordering 26 shirts for this we'll use f(x) = 15.80x + 20 because 26 lies in the domain of this function.

∴ f(x) = 15.80x + 20 for x = 26 it will be

f(26) = 430.8 dollars.

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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

Answers

The equation which can be used to solve for y, the length of the room according to the task content are;

y (y -5) = 750y² - 5y = 750.(y + 25)(y – 30) = 0.

Which equations can be used to solve for y, the length of the room?

According to the task content, the equations which can be used to solve for y, the length of the room according to the task content is to be determined.

Since the width of the room is 5 feet less than the length of the room.

Therefore, length = y and width = (y -5).

The area of the rectangle is therefore;

y (y -5) = 750

Therefore, the required equations are; 750 - y(y-5) = 0.

Or; y² - 5y = 750.

Or; (y + 25)(y – 30) = 0.

Therefore, the equation which can be used to solve for y, the length of the room according to the task content are;

y (y -5) = 750y² - 5y = 750.(y + 25)(y – 30) = 0.

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Divide: (4d2 + 2d - 3) ÷ (d - 7)

Answers

The quotient of the division (4d² + 2d - 3) ÷ (d - 7) is 4d + 30 and remainder is 207.

What is the Long Division?

Dividing one polynomial by the other is very similar to dividing one number by the other.

The steps for dividing polynomials using long method are as follows:

Arrange the polynomial indices in descending order. Substitute 0 for the missing term(s).Divide the dividend's first term (the polynomial to also be divided) by the divisor's first term. This yields the quotient's first term.Multiply this same divisor by the quotient's first term.Subtract the dividend from the product, then reduce the next term. The difference between this term and the next is the new dividend. Keep in mind the rule of subtraction: "change the sign of a subtrahend before proceeding to addition."Steps 2–4 must be repeated to determine the second term of a quotient.Repeat the procedure till a remainder is acquired. This can be zero or a number with a lower index than that of the divisor.

For the given question;

Dividend  = 4d² + 2d - 3

Divisor = d - 7

Divide dividend by divisor.

= ( 4d² + 2d - 3)/(d -3)

The quotient will come as 4d + 30.

Remainder = 207.

Thus,  4d² + 2d - 3 is not completed divisible by d - 3.

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Issa rents a car for a work trip. The rental fee is $200. She also decides to purchase the insurance, which is $18 per day. Select the expression that will help her determine what the total cost to the company will be.

Answers

The total cost to the company will be $ 6770.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

rental fee = $200

purchase the insurance= $18 per day

According to given question we have

We know that  to purchase the insurance for 1 year.

1 day=  $18

365 days= $18 *365=$ 6570

The total cost to the company will be

=$200+$ 6570

=$ 6770

Therefore, the total cost to the company will be $ 6770.

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Answer:

Step-by-step explanation:

g+(8+g)=30
How many games did Zander download?
How many songs did Zander download?

Answers

Answer:k

Step-by-step explanation:

h

If the interior angles formed by a transversal line of two distance lines are ____ than the two lines are parallel​

Answers

Answer:

El chapo so that your mean

NAW I NEED MORE HELP PLEASE

Answers

Answer:

-4

Step-by-step explanation:

We can use the slope formula: [tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]

this formula is really just representing: [tex]\frac{\Delta y}{\Delta x}\\[/tex] or in other words, change in y/change in x

The slope formula is calculating that difference by subtracting the y and x-values.

By just looking at the tables we can easily see that from x=6 to x=8 there is a change in 2

and from y=-16 to y=-24 there is a change in -8

So plugging this into the slope formula we get [tex]\frac{-8}{2}=-4[/tex]

If a patient is prescribed 0.8 µg per kilogram every 12 hours and the patient weight is 92 kg how much medication should a patient be given.

Answers

The patient of 92 kg of weight should be given 73.6  µg of prescribed medication every 12 hours .

Unitary method is a method of finding a single unit value from multiple unit values ​​and multiple unit values ​​from a single unit value.For convenience, we always write what we want to calculate on the right and what we know on the left. In a uniform way, we are given the values ​​of many things. First we must obtain one value by division, then we must obtain the value of more or less by multiplication.

It is given that a patient is prescribed 0.8 µg per kilogram every 12 hours

Using unitary method , we get

1 kg of body needs = 0.8 µg of medication

92 kg of body needs = 0.8 × 92

                                    = 73.6  µg of medication

Dose required in 12 hours = 73.6  µg of medication

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A 56-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 4 times as long as the first piece. If x represents the length of the first piece,
find the lengths of all three pieces?

Answers

The lengths of the 3 parts of the board x,y,z would be 7 inch, 14 inch, and 35 inch.

What exactly is proportion?A proportion is a mathematical equation that is predicated on the equality of two parameters.A proportion is a calculation that can be solved; a proportion is two ratios that are set equal to each other.Once I say that such a proportion is 2 ratios that really are equal to the other, I imply two fractions that really are equal to each other.

If 3 pieces of 56 in. board have been cut into the ratio x: y: z,

The second piece y equals 2x and,

The third piece z equals 5x.

Now calculate the value of x:

x + y + z = 56

x + 2x + 5x = 5

8x = 56

x = 7 inches

Then, 2nd piece;

2x = 2(7)

2nd piece = 14 inches.

Now, the 3rd piece;

5x = 5(7)

3rd piece = 35 inches.

As a result, the lengths of the 3 parts x,y,z are 7 inches, 14 inches, and 35 inches, respectively.

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what is equal to 7 whole in fractions

Answers

Answer:

[tex]\frac{7}{1}[/tex]

Step-by-step explanation:

Answer:

7/1

Step-by-step explanation:

hope this helps♡

(20 - [6 x (1 + 2)]} x 7

Answers

Step-by-step explanation:

(20-[6×3])×7

(20-18)×7

2×7=14

Which one is not a linear equation?
Choose the correct answer below.
A. 0.05x-0.09x = 0.50
B. 4x+9x = 12x
C. 8x^2-5x+2=0
D. 5x + 4(x-1) = - 4x

Answers

Answer:

C. 8x^2-5x+2=0

Step-by-step explanation:

The answer is Option C because it can only be solved by quadratic formula

Answer: c.
Explanation: can be solved with a quadratic formula

2. How many new seniors will know the winner of the homecoming
king election on the fourth day? Explain your reasoning

Answers

Using an exponential function, it is found that 48 new seniors will know the winner of the homecoming king election on the fourth day.

What is the missing information?

For this problem, we have that:

On the first day, 3 people know the result of the election.Each people tell the result to two more people, then each of these people tell to two more, and so on.

What is an exponential function?

An exponential function is modeled as follows:

[tex]y = ab^x[/tex]

In which:

a is the initial value.b is the rate of change.

For this problem, the parameters are given as follows:

a = 3, as three people know about the result on the first day.b = 2, as each people tells the result to two more people, who tell to  two more, and so on.

Hence the number of seniors that know the result on day x is given by:

[tex]y(x) = 3(2)^x[/tex]

On day 4, the amount is:

y = 3 x 2^4 = 3 x 16 = 48.

48 new seniors will know the winner of the homecoming king election on the fourth day.

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If there is an outlier should we report mean or median?

Answers

Answer:

The median is usually preferred in these situations because the value of the mean can be distorted by the outliers.

Step-by-step explanation:

Answer:

If there is an outlier you should report the median. This is because the value of a mean can be distorted by the outliers. So, you can use the median when the distribution is not symmetrical.  

Step-by-step explanation:

can someone help it only 2 qestions 20 points ​

Answers

Answer:13)45%

= 0.45

= 9/20

= (9 x 10)/(20 x 10)

= 90/200

1/2

= (1 x 100)/(2 x 100)

= 100/200

0.045

= 9/200

                      Descending order: 100/200, 90/200, 9/200                                                            1/2, 45%, 0.04514)125%

= 1.25

= 5/4

1 1/2

= 3/2

1.26

= 63/50

                  Descending order: 3/2 > 63/50 > 5/4                                                      1 1/2 > 1.26 > 125%

I would appreciate the help please!!
The graph of y = x2 –7x +12 is a parabola with x-intercepts at: {-3 and -4, or 3 and 4} and a vertex that is the: {lowest or highest} point on the curve.
Thanks in advance!

Answers

The graph of y = x2 –7x +12 is a parabola with x-intercepts at: {-3 and -4, or 3 and 4} and a vertex that is the: the x-intercepts are 3 and 4

The vertex is the lowest point on the curve

we know that

The equation of a vertical parabola in vertex form is equal to

y = a [tex](x-h)^{2}[/tex] + k

where

(h,k) is the vertex of the parabola

if a>0 -----> then the parabola opens upward (a vertex is a minimum)

if  a<0 -----> then the parabola opens downward (a vertex is a maximum)

In this problem we have

y = [tex]x^{2}[/tex] - 7x +12

a = 1

so

the parabola opens upward (a vertex is a minimum)

Find the x-intercepts of the quadratic equation

Equate the equation to zero

y = [tex]x^{2}[/tex] - 7x +12

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]x^{2}[/tex] - 7x = -12

Complete the square. Remember to balance the equation by adding the same constants to each side

[tex]x^{2}[/tex] - 7x + 12.25 = -12 + 12.25

[tex]x^{2}[/tex] - 7x + 12.25 = 0.25

Rewrite as perfect squares

[tex](x-3.5)^{2}[/tex] = 0.25

square root on both sides

(x - 3.5) = (+/-) 0.5

x =3.5(+/-) 0.5

x = 3.5+0.5=4

x = 3.5-0.5=3

therefore

the x-intercepts are 3 and 4

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a variety of seemingly unrelated mathematical descriptions, all of which may be shown to define the same curves.

One definition of a parabola includes a line and some extent  (the focus) (the directrix). The directrix isn't the main focus. The locus of points therein plane that is equally spaced apart from the directrix and the focus is known as the parabola. A right circular conical surface and a plane parallel to a different plane that is tangential to the conical surface intersect to form a parabola, which is additionally known as a conic section.

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write the expression in exponentail form 9 × 9 × 9 × 9 × 9 × 9 × 9

Answers

Answer:

9^7  

Step-by-step explanation:

9 to the 7th power

What two numbers are 3 away from -2 on the number line? Write the two answers in the space provided.

Answers

Answer:

-5, 1

Step-by-step explanation:
For every [tex]a[/tex] and [tex]x[/tex], the two numbers that are [tex]x[/tex] away from [tex]a[/tex] are [tex]a - x[/tex] and [tex]a + x[/tex].

Therefore, the two numbers that are 3 away from -2 are [tex]-2 - 3 = -5[/tex] and [tex]-2 + 3 = 1[/tex]

Complete the model to find -9 + 9 Show your work

Answers

Answer is 0

If you have to owe someone 9 dollars and they give you nine back it is 0.

You can also rearrange the problem to 9-9 (same thing) which is 0

Final answer is 0

Please help me Asap with Geometry.

Answers

Given that the sum of the interior angle of a triangle is 180 degrees, the numerical value of x is 4.

What are the interior angles?

In a polygon, an interior angle is one formed by two consecutive sides: that is, the vertex of an interior angle coincides with the vertex of the polygon.

A triangle is a polygon with three edges and three vertices.The sum of interior angle of a polygon is expressed as;

S = ( n - 2) × 180°

Where n is number of side.

Since a triangle has 3 sides, the sum of interior angle of a triangle will be;

( 3 - 2) × 180° = 1 × 180° = 180°

From the diagram;

Angle 1 = 35°Angle 2 = 60°Angle 3 = 22x - 3

Since the sum of interior angle of a triangle is:

180° .35° + 60° + ( 22x - 3 )° = 180°

Solve for x

35 + 60 + 22x - 3 = 180

95 + 22x - 3 = 180

92 + 22x = 180

22x = 180 - 92

22x = 88x = 88/22x = 4

The numerical value of x is 4.

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-3 -2 -1 0 1 2 3 4 How can you find the length of CD
Number line

Answers

Answer:

3

Step-by-step explanation:

Because C is 1 and D is 4, so 4-1=3.

Classwork: Multiply, Add, and Subtract Polyno
Math 3


Find the sum.
(3y² + y³ - 5) + (4y²-4y + 2y³ + 8)

Answers

I hope this was helpful

Given: AB is the height of the cone A plane, parallel to the base of a cone intersects the cone at the midpoint between points A and B. Determine the area of the cross-section formed by the intersection of the plane and the cone

Answers

The area of the cross-section formed by the intersection of the plane and the cone is 7.067 inch square .

What is cone?

A cone is a three-dimensional shape that has a circular base and it narrows down to a sharp point called a vertex.

Given:

The radius of the base= 3 inches.

height  =20 inches

According to given question we have

Since the plane intersects the cone at the midpoint between the vertex A and point B,

The radius of that circle formed from the intersection=1.5 inches.

The area is

A=π[tex]r^{2}[/tex]

A=π[tex](1.5)^{2}[/tex]

A=7.067 inch square

                                         

Therefore, the area of the cross-section formed by the intersection of the plane and the cone is 7.067 inch square .

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The option is missing

a) 4.71 inch square

b) 7.07 inch square

c)9.42 inch square

d) 13.24 inch square

slope = 2; (-1,4)

Gghhhgggggghgehwjwjwjwjwjwjw

Answers

The slope intercept form is given as  y = 2x + 6

The general expression for slope intercept form is given as:

                   y = mx + c

where, m = slope

             c = intercept

The formula for slope intercept form when we have been given the coordinates of a point and slope is given as :

           [tex](y-y_{1}) = m(x-x_{1})[/tex]      (1)

where ([tex]x_{1} , y_{1})[/tex] = the coordinates of a point

               m = slope of the line

putting the required values in equation (1) we get

            (y - 4) = 2(x- (-1))

            (y - 4) = 2(x+1)   [As (-)*(-) = +]

             y - 4 = 2x + 2

              y = 2x + 2 + 4

              y = 2x + 6

Thus the slope intercept form is y = 2x + 6

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