PPPLLLZZZ HHHEEELLLLPPPPP!!!!!!!

Joanne earned $57 in tips yesterday. Her earnings were $13 less than 7/8 of Erin's earnings.

1. Write an equation to represent Erin's earnings, x.

2. How much did Erin earn in tips?

We can argue that the volume of square prism is greater than the volume of the cylinder.

To find the volume of a prism, we need to multiply the of area of base by the height. Since the height is the same for both the square prism and the cylinder, we can focus on comparing the areas of their respective cross-sections.

The area of the cross-section of the square prism is given as 157 square units. Since the cross-section is a square, we can find the side length by taking the square root of the area. So, the side length of the square is √157 units.

The area of the cross-section of the cylinder is given as 50π square units. Since the cross-section is a circle, we can find the radius by taking the square root of the area divided by π. So, the radius of the cylinder is √(50π/π) = √50 units.

Now, to compare the volumes, we need to calculate the volume of each shape. The volume of the square prism is equal to the area of the base multiplied by the height, which is (√157)^2 * height. The volume of the cylinder is equal to the area of the base (π * (√50)^2) multiplied by the height. Since the heights are the same, we can compare the volumes by comparing the areas of the bases.

Since (√157)^2 is greater than (√50)^2, we can conclude that the area of the base of the square prism is greater than the area of the base of the cylinder. Therefore, the volume of the square prism is greater than the volume of the cylinder.

In summary, based on the given information, we can argue that the volume of the square prism is greater than the volume of the cylinder.

Learn more about volume of square prism: https://brainly.com/question/28490327

#SPJ11

Answer: The graph ou are looking for is added in the picture.

Graph 1 shows the correct representation the solution of the system.

The point that satisfies all of the equations in a system of linear equations is called the solution.

A system of linear equations could be solved through graphing as well as identifying the intersection point, or by solving the variables algebraically.

here, we have,

For the given question;

The system of linear equation are given as;

x + 2y ≤ 16  .......eq 1

4x + y > 6    ......eq 2

Consider equation 1;

x + 2y = 16

For x = 0; y = 8 , Point = (0, 8)

For y = 0, x = 16, Point = (16, 0)

As the inequality of the eq 1 is less than equal to, the shaded region will lies below the line with solid lines.

Consider equation 2;

4x + y = 6

For x = 0; y = 6 , Point = (0, 6)

For y = 0, x = 1.5, Point = (1.5, 0)

As the inequality of the eq 2 is greater than, the shaded region will lies above the line with doted lines.

Thus, graph 1 shows the correct representation the solution of the system.

To know more about the solution of system of linear equation, here

brainly.com/question/13054392

#SPJ3

complete question:

Which graph is the solution of the system

x+2y≤16

4x+y>6

1 2 3 4

Answer:

She has 9.00 left

Step-by-step explanation:

She borrowed 8.00 then she made 17.00 then you subtract 17.00 - 8.00 and get 9.00

Answer:

c

Step-by-step explanation:

To open the mystery door, you need to input a 3-digit code. The code calculated using least common multiple to open the mystery door is 630.

Based on the given hints, let's determine the code.

Hint 1: The last two digits are the least common multiple of 5 and 6.

The least common multiple (LCM) of 5 and 6 is 30.

Hint 2: The hundreds digit is the greatest common factor of 12 and 18.

The greatest common factor (GCF) of 12 and 18 is 6.

Putting these hints together, we can construct the 3-digit code:

The hundreds digit is 6, and the last two digits are 30.

Therefore, the code to open the mystery door is 630.

To know more about least common multiple, click here: brainly.com/question/30060162

#SPJ11

The summary of the calculations for the given data set is as follows: The median is 48, the mean is approximately 46.42, the variance is approximately 120.52, the standard deviation is approximately 10.98, and the quartiles are Q₁ = 42, Q₂ = 48, and Q₃ = 52.

1. Median:

Arrange the data in ascending order: 21, 27, 28, 29, 32, 35, 35, 36, 41, 41, 42, 42, 43, 44, 44, 45, 46, 46, 46, 47, 47, 48, 48, 48, 49, 49, 50, 50, 51, 51, 52, 52, 53, 53, 54, 54, 56, 56, 56, 58, 64.

The median is the middle value, which is 48.

2. Mean:

Sum all the values: 45 + 52 + 48 + 41 + 56 + 46 + 44 + 42 + 48 + 53 + 51 + 53 + 51 + 32 + 56 + 21 + 49 + 56 + 28 + 35 + 64 + 48 + 46 + 43 + 52 + 50 + 54 + 47 + 44 + 47 + 50 + 49 + 52 + 28 + 36 + 54 + 41 + 29 + 35 + 58 + 42 + 46 + 27 = 1998.

Divide the sum by the number of data points (43): 1998 / 43 = approximately 46.42.

3. Variance:

Calculate the mean: 46.42 (from the previous step).

For each data point, subtract the mean, square the result, and sum all the squares.

Sum of squares: (45 - 46.42)² + (52 - 46.42)² + ... + (27 - 46.42)² = 52680.34.

Divide the sum by the number of data points (43): 52680.34 / 43 = approximately 1225.12.

4. Standard Deviation:

Take the square root of the variance: √1225.12 = approximately 35.00.

5. Quartiles:

Q₁: The median of the lower half of the data set is the 22nd value, which is 42.

Q₂: The overall median is the 22nd value, which is 48.

Q₃: The median of the upper half of the data set is the 32nd value, which is 52.

learn more about Standard Deviation here:

https://brainly.com/question/23907081

#SPJ4

The solutions to the given equation on the interval 0≤x<2π. −8sin(5x)=−4√ 3 The solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

To find the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π, we can start by isolating the sine term.

Dividing both sides of the equation by -8, we have:

sin(5x) = √3/2

Now, we can find the angles whose sine is √3/2. These angles correspond to the angles in the unit circle where the y-coordinate is √3/2.

Using the special angles of the unit circle, we find that the solutions are:

x = π/3 + 2πn

x = 2π/3 + 2πn

where n is an integer.

Since we are given the interval 0 ≤ x < 2π, we need to check which of these solutions fall within that interval.

For n = 0:

x = π/3

For n = 1:

x = 2π/3

Both solutions, π/3 and 2π/3, fall within the interval 0 ≤ x < 2π.

Therefore, the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

To know more about interval refer here:

https://brainly.com/question/11051767#

#SPJ11

The expected value with a sample size of 20 and a probability of 0.25 will be 5.

The anticipated value is an extension of the weighting factor in statistical inference. Informally, the anticipated value is the simple average of a significant number of outcomes of a randomly selected variable that was separately chosen.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

If x is a binomial random variable with n = 20 and p = 0.25. Then the expected value is given below.

E(x) = 20 x 0.25

E(x) = 5

The expected value with n = 20 and p = 0.25 will be 5.

More about the expected value link is given below.

https://brainly.com/question/13945225

#SPJ1

The statue of the cat is 14 meters tall.

If the ladder is 6 meters tall and it casts a shadow that is 3 meters long and the statue of a cat casts a shadow that is 7 meters long, then we can use the concept of similar triangles to determine the height of the statue of the cat.

The ratio of the height of the ladder to the length of its shadow is 6/3 = 2.

We can also assume that the ratio of the height of the statue of the cat to the length of its shadow is also 2.

so, the height of the statue of the cat can be calculated by:

height of statue of the cat = (2 * shadow length of the statue of the cat) = (2 * 7) = 14 meters

Therefore the statue of the cat is 14 meters tall.

To learn more about the triangle, visit:

brainly.com/question/2773823

#SPJ4

A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is

Given n(sample size) = 84

Population mean(μ) = 180

Standard Deviation(σ) = 36

Standard error of the mean = σx-bar = σ/√n = 36/√84 = 36/9.165 = 3.927

Standardizing the sample mean we have

Z = (x-bar - μ)/σx-bar = (x-bar - μ)/σ/√n

x-bar = 180

Z(x-bar=185 at point C) = (185 - 180)/3.927 = 5/3.927 = 1.273

Z(x-bar=181 at point D) = (181 - 180)/3.927 = 1/3.927 = 0.254

The area ABCD is the probability that the sample mean will lie between 181 and 185.

The shaded Area ABCD = (Area corresponding to Z = 2 or x-bar = 185) - (Area corresponding to Z = 1 or x-bar = 181)

Area corresponding to Z = 1.273 = 0.898

Area corresponding to Z = 0.254 = 0.598

The shaded Area ABCD = 0.898-0.598 = 0.300

Therefore the probability that the sample mean will lie between 181 and 185 is 0.300.

To learn more about Probability, click here https://brainly.com/question/25870256

#SPJ4

The area (in square feet) of a trapezoid with height h and bases b1 and b2 is 72 square feet

The formula for calculating the area of the trapezoid is given as:

A = 0.5(b1+b2)h

Given the following

h=12

b1=5

b2=7

Substitute

A = 0.5(5+7)*12
A = 12 * 6

A = 72 square feet

Hence the area (in square feet) of a trapezoid with height h and bases b1 and b2 is 72 square feet

Learn more on area of trapezoid: https://brainly.com/question/1463152

#SPJ1

The required number of children and adults for sitting in the theater are 300 and 50 respectively.

A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.

Let be consider number of children be x and that of adults is y.

We have,

x + y = 350-------(1)

y = 350 - x

And 5x + 10y = 2000------------------(2)

Put value of y in equation (2)

5x + 10( 350 - x) = 2000

5x + 3500 - 10x = 2000

-5x = -1500

x = 300

Then

y = 350 - x = 350 - 300 = 50

Thus, There will be 300 children and 50 adults in the  theater .

To know more about equation of two variable visit:

brainly.com/question/29209545

#SPJ1

Answer:

To do this we just solve for y. Subtract 6x from both sides. Divide both sides by -2. The line has a slope of 3.

Step-by-step explanation:

When rotated about its center, a regular hexagon has 6 rotational symmetries. in addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

When a regular hexagon is rotated about its center, it has 6 rotational symmetries, one for each angle of 60 degrees.

In addition to rotational symmetry, a regular hexagon also has 6 lines of reflectional symmetry. Each line of symmetry passes through the center of the hexagon and two opposite vertices, dividing the hexagon into two congruent halves.

Hence, when rotated about its center, a regular hexagon has 6 rotational symmetries. in addition to rotational symmetry, a regular hexagon has 6 lines of reflectional symmetry.

To learn more on Polygons click:

https://brainly.com/question/24464711

#SPJ1

The length of the diagonal of the rectangle is 41 units.

To find the length of a diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).

In this case, the rectangle is the right triangle, and the lengths of the two shorter sides are 9 and 40 units. So we can write the equation:

9² + 40² = d²

Expanding both sides:

81 + 1600 = d²

Adding the two sides:

1681 = d²

Taking the square root of both sides:

d = 41 units

So the length of the diagonal of the rectangle is 41 units.

To learn more about the triangle, visit:

brainly.com/question/2773823

#SPJ4

The length of the diagonal of the rectangle is 41 units.

To find the length of a diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).

In this case, the rectangle is the right triangle, and the lengths of the two shorter sides are 9 and 40 units. So we can write the equation:

9² + 40² = d²

Expanding both sides:

81 + 1600 = d²

Adding the two sides:

1681 = d²

Taking the square root of both sides:

d = 41 units

To learn more about Triangle

brainly.com/question/2773823

#SPJ4

Answer:

C.8/27

Step-by-step explanation:

The type of variable for,

a. The number of counties in California: Quantitative discrete.

b. The stages of childhood: Qualitative ordinal.

c. In the scenario above, 23 minutes is a statistic, because 28 students is a sample.

d. Between 6 minutes and 8 minutes: Approximately 68% of the athlete's mile times are expected to be between 6 and 8 minutes, according to the empirical rule.

e. Between 4 minutes and 7 minutes: Approximately 68% of the athlete's mile times are expected to be between 4 and 10 minutes, according to the empirical rule.

f. Less than 9 minutes: Approximately 84% of the athlete's mile times are expected to be less than 9 minutes, according to the empirical rule.

In statistics, variables can be categorized into two types: qualitative and quantitative.

Qualitative variables describe characteristics or qualities that cannot be measured numerically, such as gender or hair color.

Quantitative variables, on the other hand, represent numerical values that can be measured or counted.

There are two types of quantitative variables: continuous and discrete. Continuous variables can take any numerical value within a range, such as age or weight.

Learn more about the type of a variable at

https://brainly.com/question/14501374

#SPJ4

The event A and B of a person that is selected at random from a group of college students are not independent. Option a is correct.

In order to determine whether the events A and B are independent or not, we need to find whether the occurrence of one event affects the probability of the other event happening or not. To find out the probability of the selected person being a woman and voting Republican, we need to calculate P(A and B).

P(A and B) = P(A) x P(B)  ...eqn (1) [This is the formula for independent events.]

P(B) is the probability of selecting a student who votes Republican, given by:

P(B) = Total number of students who vote Republican/Total number of students in the group

P(B) = (Assume) 200/1000 = 0.2

Substitute these values in equation (1):

P(A and B) = P(A) x P(B)

P(A and B) = 0.3 x 0.2

P(A and B) = 0.06

The probability of selecting a woman who votes Republican is 0.06. Now, to check whether the events are independent or not, we need to compare this probability with P(B).

If P(A and B) = P(B), then the events A and B are independent. But, if P(A and B) ≠ P(B), then the events A and B are dependent. As we have seen above:

P(A and B) = 0.06P(B) = 0.2

Since P(A and B) ≠ P(B), the events A and B are dependent. Therefore, a is correct.

Learn more about events https://brainly.com/question/32716243

#SPJ11

Answer:

D

Step-by-step explanation:

PIN stands for Personal Identification Number. Option d is correct.

An alphanumeric or numeric string called a personal identification number (PIN) is used to verify a person's identity in a system.

Automated Teller Machines (ATM) for a bank, are the primary use cases for PINs (ATM). PINs are frequently used in place of more complex passwords to unlock mobile devices and authenticate users to applications.

Along with the development of the ATM, PINs were invented in the UK. In 1967, Barclays debuted ATMs as a convenient way for consumers to obtain cash. They also introduced ATM check deposits, which made use of codes printed on checks to help correctly account for such transactions.

Learn more about Personal Identification Numbers here,

https://brainly.com/question/11955768

#SPJ5

The possible unit rate for Josh is 2.91 minutes per mile. However, keep in mind that this is just one possible rate and there could be other values that satisfy the conditions given in the problem.

Unit rate is a rate that is simplified to have a denominator of 1.

In other words, it is a ratio that compares two measurements with one of the measurements set to 1.

For example, if a car travels 100 miles in 2 hours, the unit rate for the car's speed would be 50 miles per hour.

Kody's unit rate can be found by dividing the time taken by the distance covered:

Unit rate = Time / Distance = 80 minutes / 35 miles = 2.29 minutes per mile (rounded to two decimal places).

To find a possible unit rate for Josh, we can use the fact that he rode at a faster rate per mile than Kody. Let's say that Josh's unit rate is x minutes per mile. Since he rode for 102 minutes, we can set up the following equation:

35 miles x (minutes per mile) = 102 minutes

Solving for x, we get:

x = 102 minutes / 35 miles = 2.91 minutes per mile

To know more about mile visit:

https://brainly.com/question/28161927

#SPJ1

Answer:

divide 3 by the amount of feet to get to the yards

Step-by-step explanation:

For every three feet, there's always one yard

so to do this only given feet, we'll need to divide the amount of feet by 3 to represent the amount of yards

The future value that Shawn will have in the bank after 5 years of investing $1,000 at a rate of 3% compounded quarterly is $1,161.18.

The equation that represents the situation is B) A = 1,000 (1.0075)⁴ˣ⁵

The future value describes the compounded present value at an interest rate.

The future value can be determined using the above FV formula or equation or an online finance calculator as follows:

N (# of periods) = 20 quarters (5 years x 4)

I/Y (Interest per year) = 3%

PV (Present Value) = $1,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $1,161.18

Total Interest = $161.18

Learn more about the future value at https://brainly.com/question/24703884.

#SPJ1

Answer:

8

Step-by-step explanation:

Since one-sixth was multiplyed be 1 1/3, we just have to find the opposite, six-ones. We multiply that by 1 1/3 and we get 8!

Answer:

maybe 12 because

Step-by-step explanation:

30/25=1.2

10×1.2=12

Answer:

  9x +y = 12

Step-by-step explanation:

You want the standard form equation for the line with slope -9 through the point (2, -6).

The point-slope form equation is a good place to start when given a point and a slope. That equation is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y -(-6) = -9(x -2) . . . . line with slope -9 through point (2, -6)

This can be rearranged to the desired form:

  y +6 = -9x +18 . . . . . . eliminate parentheses

  9x +y = 12 . . . . . . . . add 9x -6

Since the 1980s, the percentage of Americans who are members of a workplace union has declined significantly.

According to data from the Bureau of Labor Statistics, the union membership rate in the United States has experienced a substantial decrease over the past few decades. In the 1980s, the union membership rate was around 20% of the total workforce. However, as of the most recent available data, which is from 2020, the union membership rate stands at approximately 10.8%.

This indicates a decline of about 9.2 percentage points since the 1980s. The reasons for this decline include various factors such as changes in labor laws, economic shifts, and shifts in industries and employment patterns.

To learn more about   percentage   click here: brainly.com/question/31733229

#SPJ11

Answer: a) x=23. b) x=12

Step-by-step explanation:

a) Alternate angles are equal
b) corresponding angles add to 180 degrees

Given:

The set of ordered pairs.

To find:

Which set of ordered pairs represents a function?

Solution:

A set of ordered pairs represents a function, if there exist unique output value for each input value.

In option A,

{(2, 9), (5, 9), (1, -6), (-5, 5)}

It is a function because all input has unique outputs.

In option B,

{(6, 6), (6, 8), (-8, -7), (-3, -8)}

For x=6, there exist two outputs y=6 and y=8. So, it is not a function.

In option C,

{(1, 8), (9, -3), (7, -4), (7, -6)}

For x=7, there exist two outputs y=-4 and y=-6. So, it is not a function.

In option D,

{(-5, -1), (-3, -7), (-5, 3), (-7, -4)}

For x=-5, there exist two outputs y=-1 and y=3. So, it is not a function.

Therefore, the correct option is A.

From the given option, the  set of ordered pairs that represents a function is {(2, 9), (5, 9), (1, -6), (-5, 5)\}

A coordinate is known to represents a function if all the domain values have a unique value in the codomain.

The x-coordinate point should not be repeated for the coordinate to be a function, otherwise it is not a function.

From the given option, the  set of ordered pairs that represents a function is {(2, 9), (5, 9), (1, -6), (-5, 5)\}

Learn more on ordered pair of function here; https://brainly.com/question/1634684

#SPJ2

Answer:

2 days

Step-by-step explanation:

because if he buys two each day then he will have four cards on the second day