Kristin's car goes 18.95 miles for every gallon of gas. If she is planning a trip for 379 miles and gas costs $1.23 per gallon, what is the cost of gas for the trip?

Answer:

1.5

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

-2 1/4 = \(-\frac{(2*4)+1}{4}= -\frac{9}{4}\)

-1 1/2 = \(-\frac{(1*2)+1}{2}=-\frac{3}{2}\)

-2  1/4 ÷ -1 1/2 = \(-\frac{9}{4} * -\frac{2}{3}\)

                      = \(\frac{3}{2}\)

                     = 1 1/2

Use KCF method

Keep the first number.

Change division to multiplication

Flip the second number

The absolute deviation of each of the data values are 4, 1 and 3 respectively.

The absolute deviatuon gives the distance of any given value in a dataset to the mean value. The absolute deviation is always positive as it does not consider the side to which the value belongs.

Absolute deviation = |value - mean|

Mean = 4

Absolute deviation of 0 = |0 - 4| = 4

Absolute deviation of 3 = |3 - 4| = 1

Absolute deviation of 7 = |7 - 4| = 3

Hence, The absolute deviation of each of the data values are 4, 1 and 3 respectively.

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Answer:

can you please write it in english

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

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Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.

To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).

The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.

Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.

So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.

Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)

Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.

Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.

Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.

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Answer:

Socratic app

Step-by-step explanation:

it will help you

Answer:

can we get a picture

Step-by-step explanation:

Okay, here are the steps to solve this problem:

* The purchase price of the motorcycle is $9,100

* The down payment on the lease is $600

* The monthly lease payment is $250

So to find the function that describes the total cost (p) in terms of time (t) in months:

p(t) = 600 + 250t

* The initial down payment is $600

* Each month, you pay $250

* So the total paid after t months is $600 + $250t

To find how long it will take to pay more than the purchase price:

600 + 250t > 9,100

250t > 8,500

t > 34

So in this case, it will take 35 months or slightly over 2 years of lease payments to exceed the purchase price of the motorcycle.

Does this make sense? Let me know if you have any other questions!

Answer:

p = 600 + 250t

t = 34

Step-by-step explanation:

To find a function that describes how the cost of the lease depends on time, we need to consider the initial cost and the monthly cost of the lease. The initial cost is the down payment of $600, which is paid once at the beginning of the lease. The monthly cost is $250, which is paid every month for the duration of the lease. Therefore, the total cost of the lease after t months is:

p = 600 + 250t

This is the function that models the situation. It is a linear function with a slope of 250 and a y-intercept of 600.

To find how long can the motorcycle be leased before more than the purchase price has been paid, we need to compare the cost of the lease with the purchase price of $9100. We need to find the value of t that makes p equal to 9100. We can do this by solving the equation:

p = 600 + 250t

9100 = 600 + 250t

Subtracting 600 from both sides, we get:

8500 = 250t

Dividing both sides by 250, we get:

t = 34

This means that after 34 months, the cost of the lease will be equal to the purchase price. Therefore, to pay more than the purchase price, the motorcycle must be leased for more than 34 months.

Here's a funny way to remember this:

Why did the motorcycle renter cross the road? To get to his monthly payment!

What do you call a motorcycle that costs more than its worth? A cycle-path!

How do you make seven an even number? Just remove the "s"!

Answer:more work pls

Step-by-step explanation:

Answer:

can you space it plz

Step-by-step explanation:

Answer:

The correct answer is choice B.

Step-by-step explanation:

Monocots differ from the dicots In the structural features of the leaves, the stems, roots, and flowers. The differences start from the very beginning of the plant's life cycle: the seed. Monocots have one cotyledon, while dicots have two. When it comes to leaves,  monocots have narrow leaves with the typical parallel leaf veins. Dicots have broad leaves with a network of netted leaf veins.

Answer:

24*10

Step-by-step explanation:

The wholesaler's percent markup based on cost is approximately 81.00%.

To calculate the percent markup based on cost, you need to find the difference between the selling price and the cost price, and then express that difference as a percentage of the cost price.

Given:

Selling price = $1,230.80

Cost price = $680

Markup = Selling price - Cost price

Markup = $1,230.80 - $680

Markup = $550.80

Now, calculate the percent markup based on cost:

Percent Markup = (Markup / Cost price) * 100

Percent Markup = ($550.80 / $680) * 100

Percent Markup ≈ 81.00%

The wholesaler's percent markup based on cost is approximately 81.00%.

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Step-by-step explanation:

Kindly find attached the rough sketch of the triangular pyramid and the rough sketch of it cross section.

Basically a triangular pyramid has a triangular base. when a fictitious line is made to pass through perpendicularly to the base, the cross section that will result will still have a triangular orientation but this time a smaller one compared to the original triangular orientation or sides of the pyramid  

The value of x when we solve the equation 6/ -4.5 = 8/4x is x = - 1.5.

A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. Another well formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's equivalents in other languages may have slightly different definitions. For instance, an équation is defined as having one or more variables in French.

The given equation is:

6/ -4.5 = 8/4x

Using the method of cross multiplication or butterfly method of multiplication we have:

6(4x) = (8)(-4.5)

24x = -36

x = -1.5

Hence, the value of x for the equation 6/ -4.5 = 8/4x is x = - 1.5.

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explanation:

Low interest rates are better than high interest rates when borrowing money, whether with a credit card or a loan. A low interest rate or APR (annual percentage rate) means you're paying less for the privilege of borrowing over time. High interest rates are only good when you're the lende

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Answer:

3/5

Step-by-step explanation:

3/4 * 4/5= 12/20= 3/5

Answer: 94.2

Step-by-step explanation:

30 x 3.14

For a more accurate answer, multiply by the π symbol

30 x π = 94.25

Therefore , the solution of Inverse function comes out to be of x-20 equals to x+20

A function f has an inverse function only if for every y in its range there is only one value of x in its domain for which f(x)=y. This inverse function is unique and is frequently denoted by f−1 and called “f inverse.” For an overview into the idea of an inverse function, see the function machine inverse.Steps for finding the inverse of a function fReplace f(x) by y in the equation describing the function. Interchange x and y. In other words, replace every x by a y and vice versa.

Here,

Solve for y.

Replace y by f-1(x).

y=x-20

x=y-20

Solve for y,x = y-20

x+20

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Answer:

ƒ^(-1)(x) = x + 20

Step-by-step explanation:

To find the inverse of the function ƒ(x) = x - 20, we need to switch the roles of x and y and solve for y.

Let's start by replacing ƒ(x) with y:

y = x - 20

Next, swap x and y:

x = y - 20

Now, solve for y by isolating it:

x + 20 = y

Therefore, the inverse of the function ƒ(x) = x - 20 is given by:

ƒ^(-1)(x) = x + 20

Answer:

the number of meters in the milky way

Step-by-step explanation:

becuse the world is infinite

Answer:

The answer is option (B)

Here is the explanation...

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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Answer:

10+5x

Step-by-step explanation: First 3x becomes a neggative thus saying there is a minus infront of it then combine the like therms with 8x making it 5x. Once you do that take 7 and add it to 3. Therefore the answer is 5x+10.

Combining like terms in the expression the simplified expression is

5x + 10.

We have,

To combine like terms and simplify the expression 7 - 3x + 3 + 8x, group the terms with the same variable (x) and then add or subtract their coefficients.

The expression can be rewritten as:

(-3x + 8x) + (7 + 3)

Combining like terms:

(5x) + (10)

Thus,

The simplified expression is 5x + 10.

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Step-by-step explanation:

We are here given that a point B is between A and C . Also ,

And we would like to calculate the length of BC . For figure refer to the attachment. From figure we can see that ,

\(\rm:\implies AC = AB + BC \)

Substitute the respective values,

\(\rm:\implies 21 = 2x + 3x + 1\)

Add like terms ,

\(\rm:\implies 21 = 5x +1 \)

Subtract 1 on both sides,

\(\rm:\implies 21-1 = 5x \)

Simplify,

\(\rm:\implies 20=5x \)

Divide both sides by 5,

\(\rm:\implies \blue{ x = 4}\)

Now consider ,

\(\rm:\implies BC = 3x+1 \)

Plug in the value of x found above ,

\(\rm:\implies BC= 3(4)+1\)

Simplify,

\(\rm:\implies BC = 12+1\)

Add,

\(\rm:\implies \underline{\boxed{\blue{\rm{ \quad BC \quad =\quad 13\quad }}}}\)

And we are done !

Answer:

+ BC = AC

x + 2x+1 = 22

3x +1 = 22

3x = 21

x = 7

AB = 7

BC = 2*7+1 = 14 + 1 = 15

15 - 2

13

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

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Check the picture below.