Darin had $15.00. After spending
3/5
of his money for a movie and popcorn, how much of his money did he have left?
A.
$3.00
B.
$6.00
C.
$9.00
D.
$12.00

Answer:

2,-1

Step-by-step explanation:

You read the X axis first then the Y axis

Answer:

1

Step-by-step explanation:

the greatest common factor of 9 and 22 is 1.

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

first three terms are

-1, -1/2 & 0

Step-by-step explanation:

here,

a=-1

and d=1/2

so

t1 = -1

t2 = a+(n-1)d= -1 +(2-1)*(1/2)=-1/2

t3= a+(n-1)d= -1 +(3-1)*(1/2) =0

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

f(-9) = -119

Step-by-step explanation:

Hello!

You can evaluate for f(-9) by substituting -9 for x in the equation f(x) = -11 + 12x.

The evaluated value is -119.

Answer:

Step-by-step explanation:

slope is the x axis and y intercept is the y axis

so 1/2 will go on the x axis and -9 will go on the y axis

1/2 uses the rise over run method

Answer:

Answer is in the screenshot. The equation for the line is y=1/2 x - 9

Step-by-step explanation:

To graph a line when you know the slope and y intercept, you make a point on the y intercept. Your y intercept iIs -9 so you would make a point on (0,-9).

After you have the point on (0,-9) you use the slope to create the rest of your line. Slope is just Rise  

                            Run

Your slope is 1/2. That means your next point on the line is up 1 unit and right 2 units. The next point on the line is (2,-8).

Answer:

3

Step-by-step explanation:

The shape is a triangular prism.

The volume of a triangular prism is the area of cross section times length.

Area of cross section is the area of a triangle.

15 × x × 1/2

15/2x

The length is 8 cm.

15/2x × 8

120/2x

The volume is given.

120/2x = 180

60x = 180

x = 180/60

x = 3

Answer:

There were 40 people total at the party and we assume each had cake of one type.

So, the % of those who had chocolate is:

32/40 = .8 = 80%

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

To calculate the recommended sample size (n) for your study, you can use the formula n = z²(pq)/e², where z represents the z-score for the desired confidence level, p represents the probability of the desired response, q represents the probability of the undesired response, and e represents the acceptable sample error.

Given the assumptions that p = q and the client wants a 95% confidence level with a sample error of +/-10%, we can plug in the values as follows:

1. For a 95% confidence level, the z-score (z) is 1.96.
2. Since p = q, we can assume p = 0.5 and q = 0.5 (because p + q = 1).
3. The acceptable sample error (e) is 10%, or 0.1 in decimal form.

Now, plug these values into the formula: n = (1.96²)(0.5)(0.5)/(0.1²).

Step-by-step calculation:
n = (3.8416)(0.25)/0.01
n = 0.9604/0.01
n ≈ 96.04

The recommended sample size (n) for your study, based on the provided assumptions and formula, is approximately 96 participants.

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Answer:

- 21

Step-by-step explanation:

let the integer be n , then

\(\frac{n}{7}\) = - 3 ( multiply both sides by 7 to clear the fraction )

n = 7 × - 3 = - 21

that is the integer is - 21

The function describes the motorboat's distance from the shore

y = -4x+50

Given,

In the question:

A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore

After 9 minutes, it is 14 km from the shore.

So, The rate of change =

                 =   \(\frac{Final Distance - initial distance}{time} \\\\\frac{14-50}{9} = -4\)

Negative sign shows that there is decrease in distance per minute

The rate of change of distance is 4 km / minutes

General equation : y = mx+ c

Where m is the slope and c is the constant

Substitute the values in the equation :

y= -4x +50

Where y is the final distance and x is the minutes

So, Option C is true

Hence, The function describes the motorboat's distance from the shore

y = -4x + 50.

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Answer:

Step-by-step explanation: ok so counting my 5’s .. 5, 10, (15) it’s 3 times soo 5 shirts cost 25 you are gonna do 25x3 so it’s 75

Answer:

$75.00

Step-by-step explanation:

5 tshirts cost $25.00.

25$.00 ÷ 5 will give the cost of 1 t-shirt.

which is = $5.

therefore, to find the cost of 15 tshirts;

15 × $5

which is = $75.00.

hope it helps. :)

The area of the arrow above is 400 square inches.

To find the area of the arrow, we can split it into two triangles and one rectangle. The first triangle has a base of 20 inches and a height of 10 inches, so its area is (1/2)*20*10 = 100 square inches. The second triangle also has a base of 20 inches and a height of 10 inches, so its area is also 100 square inches. The rectangle has a length of 30 inches and a width of 20 inches, so its area is 30*20 = 600 square inches. Therefore, the total area of the arrow is 100 + 100 + 600 = 800 square inches. However, since the area of the small rectangle at the bottom is not included in the arrow, we subtract its area, which is 2*10*10 = 200 square inches. Thus, the final area of the arrow above is 800 - 200 = 600 square inches.

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Gerry's beginning basis in the S corporation is $20,545.

To calculate Gerry's beginning basis in the S corporation, we need to consider the cost of the assets transferred and the additional expenses incurred for the conversion.

The cost of the assets transferred is given as $19,570. This represents the original cost of the assets when Gerry acquired them.

The adjusted basis of the assets is stated as $9,600. The adjusted basis takes into account any adjustments made to the original cost, such as depreciation or other deductions.

To calculate the beginning basis in the S corporation, we add the cost of the assets transferred ($19,570) to the adjusted basis ($9,600). This gives us a total of $29,170.

In addition to the assets, Gerry incurred an additional expense of $975 for the conversion to an S corporation. We include this amount in the calculation of the beginning basis.

Therefore, Gerry's beginning basis in the S corporation is $29,170 + $975 = $20,545.

This beginning basis is important for determining Gerry's tax consequences and future deductions within the S corporation structure.

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The set of numbers whose decimal representations are neither repeating nor terminating is known as the set of irrational numbers.

Irrational numbers are numbers that cannot be expressed as fractions and have non-repeating and non-terminating decimal representations. Examples of irrational numbers include √2, π (pi), and e (Euler's number). These numbers are infinite and non-repeating, meaning their decimal representation goes on forever without following a specific pattern. The proof that √2 is irrational was first demonstrated by the ancient Greeks, and the irrationality of π and e was proven much later in history. Irrational numbers play a significant role in mathematics and are essential for understanding concepts like limits, calculus, and geometry.

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What is the mathematical term for the set of numbers whose decimal representations are neither terminating (finite decimal) nor repeating (infinite periodic decimal)?

Let x be the full price of each Mighty Mare toy pony.

During the holiday sale, Pamela purchased each toy at $3 less than its full price. Therefore, the price she paid during the sale was:

x - $3

Since she bought 4 of these toys, her total cost during the sale was:

4(x - $3)

We also know that Pamela paid a total of $52 during the sale. Therefore, we can set up an equation:

4(x - $3) = $52

Simplifying this equation, we get:

4x - $12 = $52

Adding $12 to both sides, we get:

4x = $64

Dividing both sides by 4, we get:

x = $16

Therefore, each Mighty Mare toy pony costs $16 at full price.

Let's assume that the full price of each Mighty Mare toy pony is x dollars. Since Pamela purchased 4 Mighty Mare toy ponies, each at $3 less than its full price, the cost of each toy pony during the sale would be (x - 3) dollars.

To find the equation that represents this situation, we can set up the equation based on the given information:

4 * (x - 3) = 52

In this equation, 4 represents the number of Mighty Mare toy ponies purchased, (x - 3) represents the cost of each toy pony during the sale, and 52 represents the total amount paid by Pamela.

By solving this equation, we can determine the value of x, which represents the full price of each Mighty Mare toy pony.

Answer:

12   50/50 chance

Step-by-step explanation:

Answer:

9.1 x 10²

Step-by-step explanation:

The compound inequality that has a solution set of all real numbers is:  x > -2 or x < 1

A mathematical expression known as a compound inequality consists of two or more inequalities linked together by the logical operators "and" or "or." It represents a set of values that simultaneously meet each of the stated inequalities. Take the compound inequality 2x + 3 7 and x - 4 > -2, for instance. We treat this compound inequality as two separate inequalities, 2x + 3 7 and x - 4 > -2, in order to solve it. We first determine the intersection of the solution sets after solving each inequality separately. The values of x in this situation that meet both inequality are: 0 x 3.

1. A compound inequality is an inequality that combines two or more simple inequalities using the words "and" or "or."

2. The solution set of all real numbers means that any number on the number line is a solution to the inequality.

3. In the given inequality, x > -2 or x < 1, we have two simple inequalities connected by "or."

4. If x > -2, we have all numbers greater than -2 (to the right of -2 on the number line) as solutions.

5. If x < 1, we have all numbers less than 1 (to the left of 1 on the number line) as solutions.

6. Since we're using "or," a number only needs to satisfy one of these conditions to be a solution. So, all real numbers satisfy either x > -2 or x < 1, making this the compound inequality with a solution set of all real numbers.

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Answer:

The image if the point is (-7, -9)

Step-by-step explanation:

∵ The given point is (9, -7)

∴ x = 9 and y = -7

∵ The given point is rotated 270° counterclockwise about the origin

→ By using the third rule above

∴ The image of the point is (y, -x)

→ That mean change the sign of x-coordinate, then switch them

∵ x = 9 and y = -7

∴ The image if the point is (-7, -9)

Answer:

3/4 pounds

Step-by-step explanation:

Given the weights :

weight of beans 1/4 pound, 1/2 pound, 3/4. pound and 1 pound.​

Greatest weight = 1 pound

Least weight = 1/4 pound

Difference = greatest weight - Least weight

Difference = (1 - 1/4) pound

Difference in weight = 3/4 pounds

The effect of educational attainment on the time spent sleeping per week is examined using the simple regression model sleep = β0 + β1educ + u. The sample mean and standard deviation of sleep and educ can be calculated using the data in PS2 Q4.dta.

To find the sample mean of sleep and educ, sum up all the values of sleep and educ respectively and divide by the total number of observations.

The standard deviation can be calculated by taking the square root of the variance, where the variance is the average of the squared deviations from the mean.

These calculations provide measures of central tendency and dispersion for the variables sleep and educ.

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The length of the segment A'A is 18 units

The length of the segment B'B is 8 units

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

The similar triangle

Using the ratio of corresponding sides, we have

(AA' + 12)/20 = 12/8

So, we have

AA' + 12 = 20 * 12/8

AA' + 12 = 30

Evaluate

AA' = 18

Here, we have

(BB' + 6)/20 = 6/8

So, we have

BB' + 6 = 20 * 6/8

BB' + 6 = 15

Evaluate

BB' = 8

Hence, the length is 8 units

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The slope (m) that passes through the given points (4, 3) and (6, 7) is (B) 2.

So, the slope will be:

Now, calculate as follows:

Therefore, the slope (m) that passes through the given points (4, 3) and (6, 7) is (B) 2.

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The slope of the tangent line to the curve at the point (1, 2) is -3/5.

A line's slope is a number that describes its steepness and direction. It is calculated by dividing the vertical change by the horizontal change between any two points on a straight line.

To find the slope of the tangent line to the curve at the point (1, 2), we need to first find the derivative of the curve with respect to x and evaluate it at x = 1 and y = 2.

Taking the partial derivative of both sides of the equation with respect to x, we get:

3x² + 10xy + 5x² dy/dx + 4y - 4dy/dx = 0

Simplifying this expression and solving for dy/dx, we get:

dy/dx = (4 - 13x² - 10xy) / (10x + 5x²)

To find the slope of the tangent line at the point (1, 2), we substitute x = 1 and y = 2 into this expression:

dy/dx = (4 - 13(1)² - 10(1)(2)) / (10(1) + 5(1)²) = -3/5

Therefore, the slope of the tangent line to the curve at the point (1, 2) is -3/5.

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The total cost of haircuts for Michael's three children, including tip, would be $207.00.

If Michael gave a 20% tip and the haircuts cost $57.50, the tip would be:

Tip = 0.20 * $57.50 = $11.50

The total cost of the haircuts, including the tip, is as follows:

Total cost = haircut cost + tip

The total cost is $57.50 + $11.50.

The total cost is $69.00.

Since Michael took his three children to get haircuts, the total cost for all three children, including tip, would be:

Total cost for three children = three times the total cost

Total cost for three children = three times $69.00

The total cost for three children is $207.00.

As a result, the total cost of haircuts for Michael's three children, including tip, would be $207.00.

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Determine the total number of marbles in the bag.

The number of marbles that ae not yellow are red and blue, whose total count is 10 in bag.

Determine the probability for the choosen marble is not yellow.

So answer is 5/12.

Option C is correct.

Answer:

D.

Step-by-step explanation:

The subtraction property involves subtracting the same number that is subtracted from one side of the equal sign and also subtracting same from the other side of the equal sign

For example: y + 3 = 2

To apply the subtraction property, subtract 3 from each side. Thus:

y + 3 = 2 - 3

From the given equation solved, the subtraction property was not applied in any of the steps shown.

Answer:D.)The addition property of equality was not applied to solve this equation

Answer:

printer 404 computer 808

Step-by-step explanation:

let the price of computer be c and printer be p

c+p=1212

c=2p

2p+p=1212

3p=1212

p=1212/3 =404

c=2p=2x404=808