Solve, kara's store experienced fixed costs of $200 and variable costs of $4 a shirt. write an equation that can be used to determine the total expenses encountered by kara's

By setting up the proportion [tex]\(\frac{15}{x} = \frac{x}{135}\)[/tex] and solving for [tex]\( x \)[/tex], we find that [tex]\( x = 45 \).[/tex]

To find the value of [tex]\( x \)[/tex] when the terms 15, [tex]\( x \)[/tex], and 135 are in proportion, we set up the proportion:

[tex]\[\frac{15}{x} = \frac{x}{135}\][/tex]

This represents the relationship where the first ratio is equal to the second ratio. Cross-multiplying, we get:

[tex]\[15 \times 135 = x \times x\][/tex]

[tex]\[2025 = x^2\][/tex]

Taking the square root of both sides, we find:

[tex]\[x = \sqrt{2025}\][/tex]

[tex]\[x = \pm 45\][/tex]

However, since 15,  x , and 135 are in proportion, the value of  x  must be positive. Therefore,  x = 45 .

The question probable maybe:

If the three terms 15, x and135 are in proportion then what is the value of x

4 * 3 *2 *1 = 24 different ways

Answer:

  x = -3/2 ± i(√11)/2

Step-by-step explanation:

The quadratic formula can be used directly, but I find it convenient to divide by 14 first:

  x^2 +3x +5 = 0

The solution to ...

  ax^2 +bx +c = 0

is given by the formula ...

  x = (-b ±√(b^2 -4ac))/(2a)

Here, we have a=1, b=3, c=5, so the formula gives the solutions ...

  x = (-3 ±√(3^2 -4·1·5))/(2·1) = -3/2 ± i(√11)/2 . . . . . solutions are complex

Final answer:

The rule that represents the given function with ordered pairs (1, 4), (2, 16), (3, 64), (4, 256), (5, 1,024) is f(x) = 4^(x-1), which is determined by observing the pattern of the ordered pairs.

Explanation:

Identifying the Rule of a Function

The ordered pairs (1, 4), (2, 16), (3, 64), (4, 256), and (5, 1,024) represent a function where each input from the domain is mapped to a unique output in the range. Observing the pattern of the ordered pairs, we can infer a rule that corresponds to this function. Each second element in the pair appears to be an exponentiation of 4 to the power of the first element minus one.

The general rule for this function can be expressed as f(x) = 4^(x-1). We can verify this by plugging in the values from the domain (1 through 5) into the function:

For x = 1, f(1) = 4^(1-1) = 4^0 = 1

For x = 2, f(2) = 4^(2-1) = 4^1 = 4

For x = 3, f(3) = 4^(3-1) = 4^2 = 16

For x = 4, f(4) = 4^(4-1) = 4^3 = 64

For x = 5, f(5) = 4^(5-1) = 4^4 = 256

Therefore, the rule representing this function is f(x) = 4^(x-1).

The angle which is 24° more than the measure of its complementary angle is 66°.

Two angles whose sum is equivalent to 90 degrees are called complementary angles. Mathematically -

∠x + ∠y = 90°

Assume that the angle which is 24° more than the measure of its complementary angle be [x].

Then, we can write -

x + 24 = 90

x = 90 - 24

x = 66°

Therefore, the angle which is 24° more than the measure of its complementary angle is 66°.

To solve more questions on angles, visit the link below-

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a creditor will run her report,

 creditor = credit report.

Answer:

a) Creditor

Step-by-step explanation:

a) Right. Creditor

She's applying for a Car loan, the Creditor, i.e. the one who is going to lend her the money to buy a new car. In this case, if Jill is applying to a bank . The creditor will be the Bank she's applying for.

Let's look a the definition of Creditor:

A creditor is a person or company that provides credit to another person or company functions as a creditor.

creditor. (n.d.) Lightbulb Press Dictionary of Financial Terms. (2008). Retrieved September 18, 2019

b) Wrong. There is no direct cause-effect relation since a Government Representative might describe virtually any public civil servant. And also her application has nothing to do with Public Funding.

c) Wrong. Her employer is not the person appointed to determine if she's able to receive the loan. As her boss He/She whether Jill is eligible for a car loan.

d) Wrong. Similarly, her landlord is not the person appointed to determine if she's able to receive the loan.

The probability of an American roulette wheel landing on a green pocket is 1/19, which is calculated by dividing the number of green pockets by the total number of pockets on the roulette wheel.

The student is asking about the probability of a specific outcome in a random event, specifically, the likelihood of landing on a green pocket in an American roulette game. To find this probability, we need to look at the total number of pockets and how many of them are green. With 38 total pockets and 2 being green, the probability that the roulette wheel will land on a green pocket is calculated by the ratio of green pockets to total pockets.

To calculate it: Probability = Number of green pockets / Total number of pockets = 2 / 38 = 1/19

This simple division computes the likelihood of a single spin resulting in a green pocket landing. Importantly, this calculation assumes each pocket has an equal chance of being landed on and that there are no biases in the wheel.

Answer:

Settlers in the territory wanted the same approach to slavery as in the states they came from

Step-by-step explanation:

-6.5(n-5) = 18.2

-6.5n + 32.5 = 18.2

-6.5n = -14.3

n = -14.3 / -6.5 = 2.2

n = 2.2

Final answer:

To find the month when Pedro's exponentially growing ant farm and Bobby's linearly decreasing ant farm have the same number of ants, we set the exponential growth formula equal to the linear decrease formula and solve for the number of months, using graphical or numerical methods.

Explanation:

We need to determine after how many months Pedro's exponentially growing ant farm will have the same number of ants as Bobby's linearly decreasing ant farm.

Let's denote the number of months as m. Pedro's ant farm starts with 100 ants and grows at a rate of 15% per month, so the population at month m is PPedro = 100 × (1 + 0.15)m.

Bobby's ant farm starts with 350 ants and decreases by 5 ants per month, so the population at month m is PBobby = 350 - 5m.

We need to find the month m where PPedro is approximately equal to PBobby. This can be solved by equating and solving the two expressions:

100 × (1 + 0.15)m ≈ 350 - 5m

To solve this, we can use either graphical methods or numerical methods such as iterative approximation, since an exact solution may not be possible through algebraic methods. We are looking for the value of m that makes both sides approximately equal.