Grill-N-Broil sells ½ pound hamburgers for which you get to choose the individual condiments when you order. They charge $4.15 for the hamburger and 15¢ for each condiment. Which equation could be used to find the cost, C , of a burger depending upon the number of condiments, x , on the burger?

Answer:

There are infinite solutions.

Think about it. The equation says essentially:

12 + any number = 12 + any number.

y + 12 = y + 10 + 2

y + 12 = y + 12

  y - y = 12 - 12

       0 = 12 - 12

       0 = 0

Step-by-step explanation:

In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Answer:

\(A\approx 159.6\)

Step-by-step explanation:

1. Approach

To solve this problem, divide the given figure up into two smaller figures, a rectangle and a semi-circle. Find the area of each figure and add up the values to find the total area. Remember the formula to find the area of a rectangle is as follows (\(A=(length)(width)\)). The formula to find the area of a circle is the following, (\(A=(\pi)(r^2)\)).

2. Find the area of the rectangle

The radius is the measurement in a circle from the center of a circle to any point on the circle's circumference (outer edge). The diameter is a line going through a circle connecting two opposite edges on a circle and passing through the center of a circle. By its definition, the diameter is always twice the radius of a circle.

As one can see in the rectangle, the side of the rectangle is made of the diameter of the circle. Since the diameter of a circle is twice the radius, one must multiply the radius by (2), then multiply that value by the length of the rectangle to find the area of the rectangle,

\(A=(length)(width)\\\)

Substitute,

\(A_r=(length)(2(radius))\\A_r=(14)(2(5))\)

Simplify,

\(A_r=(14)(2(5))\\A_r=(14)(10)\\A_r=140\)

3. Find the area of the semi-cricle

Now one has to find the area of the semi-circle. Since a semi-circle is half of a circle, one must divide the formula to find the area of a circle by (2) in order to find the area of a semi-circle. Remember parameter (r) represents the radius, and (\(\pi\)) represents the numerical value (3.1415...)

\(A=\frac{(\pi)(r^2)}{2}\)

Substitute,

\(A_s=\frac{(\pi)(5^2)}{2}\)

Simplify,

\(A_s=\frac{(\pi)(5^2)}{2}\\A_s=\frac{(\pi)(25)}{2}\\A_s=12.5\frac{(\pi)}{2}\\A_s\approx19.635\)

4. Find the total area

To find the total area of the figure, one must add up the two components, add the area of the rectangle to the area of the semi-circle,

\(A=A_r+A_s\\\)

Substitute,

\(A=140+19.635\)

Simplify,

\(A=159.635\)

\(A\approx 159.6\)

Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

The solution to the system of equations is 3x + y = -19 and -3x + 3y = 3 is (-5, -4)

From the question, we have the following parameters that can be used in our computation:

3x + y = -19

-3x + 3y = 3

Next, we plot the graph of the system (see attachment)

Using the graphing function on a calculator, we have the solution to be

(-5, -4)

This is so because the equations 3x + y = -19 and -3x + 3y = 3 intersect at the point (-5, -4) and they are not equivalent equations

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Joshua was trying the subtract 8 – 4.13. He lays up the dilemma like this. 8-4.13 Joshua's issue therefore has a 3.87 as its solution.

Subtraction is a mathematical operation or procedure that involves calculating this same difference between two quantities or numbers.Whenever a number is removed from another, the phrase "taking away 1 integer from the other" is also used.

Part A: Joshua's setup is flawed since he did not align all decimal points during the subtraction.

Part B: In order to accurately subtract 4.13 off 8, we must first line up the decimal points before subtracting each digit as in columns going right to left. We can add a zero but after number 8 to align all decimal points as there are no digits beyond the decimal point in the number 8.

markdown

Code to be copied: 8.00 - 4.13 ———

Now, starting from the right, we can subtract the numbers from each column:

copy markdown 8.00

- 4.13

———

3.87

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The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

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Answer:

hello good evening

be happy always

Answer:

3 hours and 45 minutes

Step-by-step explanation:

let's assume the tank has a volume of x liters.

let's assume the speed of filling it is x/6 liters per hour for A and x/10 liters per hour for B.

the formula to calculate the time is:

time = volume / speed

If the pumps work together, the total speed is x/6 + x/10, which is 16/60 x

So the time this takes is:

time = x / (16/60 x) = 60/16 hours = 3.75 hours = 3 hours and 45 minutes.

The probability of getting a black card and a numbered card is 9/26.

To calculate the probability of getting a black card (E1), we need to determine the number of black cards in a standard deck of 52 cards.

There are 26 black cards in total, which consist of 13 spades (black) and 13 clubs (black).

Therefore, the probability of drawing a black card (P(E1)) is:

P(E1) = Number of favorable outcomes / Total number of possible outcomes

P(E1) = 26 / 52

Simplifying this fraction, we get:

P(E1) = 1/2

So the probability of drawing a black card is 1/2.

To calculate the probability of drawing a numbered card (E2), we need to determine the number of numbered cards (2 through 10) in a standard deck.

Each suit (spades, hearts, diamonds, clubs) contains one card for each numbered value from 2 to 10, totaling 9 numbered cards per suit.

Therefore, the probability of drawing a numbered card (P(E2)) is:

P(E2) = Number of favorable outcomes / Total number of possible outcomes

P(E2) = 36 / 52

Simplifying this fraction, we get:

P(E2) = 9/13

So the probability of drawing a numbered card is 9/13.

To calculate the probability of both events occurring together (getting a black card and a numbered card), we multiply the individual probabilities:

P(E1 ∩ E2) = P(E1) × P(E2)

P(E1 ∩ E2) = (1/2) × (9/13)

Simplifying this fraction, we get:

P(E1 ∩ E2) = 9/26

Therefore, the probability of getting a black card and a numbered card is 9/26.

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Answer:

6.2

Step-by-step explanation:

Answer:

The answer to this problem is 6.2

Step-by-step explanation:

The Algebraic expression is a 2ℓ+2w for ℓ= 5.7 and w = 6.2

Answer: Option A.

Step-by-step explanation:

Suppose you have a rectangle in the plane X-Y, such that one of the vertices of the rectangle is on the point (0,0) and the rectangle has sides parallel to both x-axis and y-axis.

Now, you rotate it around the y-axis. The created figure will be a cylinder with a radius and height depending on the measures of the original rectangle.

Now, if you cut it horizontally (this means that you have a cut parallel to the x-z plane) is equivalent to have a view of the cylinder from the top (as if you where on the positive y-axis), and this figure will be a circle, so the correct option is A:

Answer:

the y intercept

Step-by-step explanation:

the k in algebra is the y intercept :))

Answer:

12 and 1 over 25

Step-by-step explanation:

Twelve wholes and one divided by 24 is 0.04

Answer:

If you divide both top and bottom of \(\frac{2}{10}\) by 2, you get \(\frac{1}{5}\)

Answer:

because you have to find common denominators

2/10= 1/5

2/10= 1x2/5x2

Whatever you do to the bottom, you do to the top so that is why i also multiplied the numerator by 2.

2/10=2/10

Hope it helped!! Pls mark brainliest :)) Have a good day

Step-by-step explanation:

Answer:

The range of the function is: -∞≤y≤∞.

Consider the provided function.

The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.

The range of a cubic root function is all real numbers.

Now consider the provided function.

The above function can be written as:

Taking cube on both sides.

The graph of the function is shown in figure 1:

For any value of x we can find different value of y.

Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is  -∞≤y≤∞ .

Therefore, the range of the function is: -∞≤y≤∞ (A).

Answer:

The simplest interest will be $15 ⇒ B

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

∵ Eugene borrows $250 at a 4% annual interest rate

∴ P = 250

∴ r = 4% = 4 ÷ 100 = 0.04

∵ The time is 18 months

→ Change the time to year because the rate is annual

∵ 1 year = 12 months

∴ t = 18 ÷ 12 = 1.5 years

→ Substitute the values of P, r, and t in the rule above to find the interest

∵ I = 250 × 0.04 × 1.5

∴ I = 15

∴ The simplest interest will be $15

Answer:

Imao

Step-by-step explanation:

Answer: The team needs to win 15 more games to get 90% winning percentage.

Step-by-step explanation:

80%=4/5  divide 15 by 5 and you get 3, which is 1/5 of 15, so you must multiply it by 4 to get 80% of 15 which is 3*4=12

If you want 90%(or 9/10) of 30, you do the same thing, and you get 27.

27-12=15.

The team needs to win 15 more games to get 90% winning percentage

Answer:

10000

Step-by-step explanation:

ghhutddtuyitdffyuyfofuyyfu

Answer:

$5,665

Step-by-step explanation:

First, you multiply 5,500 times 3 to get 16,500, and then divide by 100 to get 165. That is how much she earned over the past three years, but it is NOT her new account balance, because you have to add 5,500 and 165, which you would get a final sum of $5,665. I hope this helps :)

Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

Answer: 18

Step-by-step explanation:

\(\triangle HJK \cong \triangle HLK\) by HL. Therefore, \(JK=2\) by CPCTC.

Using the segment addition postulate, \(GK=9\).

Furthermore, \(\triangle HGK \cong \triangle HMK\) by HL. This means that \(MK=9\) by CPCTC.

Using the segment addition postulate again, \(GM=9+9=18\).

The graph of the function f (x) = |x| is shown in attached figure.

Hence, Option A is true.

What is mean by  Modulus function?

The modulus function is the magnitude or absolute value of a positive or negative number. It is defined as y = |x| or f (x) = |x|

Where, f : R → R and x ∈ R.

This is also called the absolute value function.

Given that;

The modulus function is,

⇒ y = |x|

Now, The modulus function is,

⇒ y = |x|

Since, The function y = |x| is not differentiable at x = 0.

So, It break at point x = 0, and have all positive values of y.

Which is shown in image A.

Thus, The graph of function y = |x| is shown in attached figure.

Therefore, In the images;

⇒ Option A is true.

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The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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Answer:

$12.500

Step-by-step explanation:

Answer:

3 pints = 6 cups

Step-by-step explanation:

Formula: multiply the volume value by 2

Answer:

6 cups

Step-by-step explanation:

1 pint = 2 cups

3 pints = 3x2 cups

3 pints = 6 cups

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Total hay eaten by horse is 983 pounds.

given,

handy ate 779 pound hay in first month .

in the next month handy ate 204 pounds of hay,

we have to add both the numbers ,204+779

=983pounds.

so,

the total amount of hay eaten by handy is 983 pounds.

The addition formula is the statement that shows an addition fact and is expressed as, addend + addend = sum.

Long addition is a process for adding numbers together.

Stack your numbers and align the columns by place value.

Add all numbers column by column from right to left.

Record the sum in the answer space for each column.

If the sum of any one column is greater than nine, carry the additional digits to the next highest column.

The addition is the process of adding 2 or more numbers to get a final result. The 4 main properties of addition are commutative, associative, distributive, and additive identity. Commutative refers that the result obtained from addition is still the same if the order changes.

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