What is the greatest common factor needed to simplify 60/96?
A. 6
B. 12
C. 2
D. 8

The only option that represents independent events is;

D. Teacher prefers coffee; Teacher teaches social studies

Independent events are defined as those events whose occurrence are not dependent on any other event. For example, when we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail.

Now, we see the table showing drink preferences for teachers in a high school.

Now, from the table, the row that has the highest total will be an independent event while the column that has the highest total will be an independent event.

Thus, we see that the column that has the highest total is coffee while the rows that have the highest total are english and social studies.

The only option with both combination is option D which is correct.

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Answer:

I think ifs y<5 I did this question last year but if not I'm sorry I tried sorry if I'm late

Answer:

x <= 5

Step-by-step explanation:

1st step: Observe the line

The line drawn is vertical.

Hence, it must be in the form x = k , where k is a constant.

2nd step: The line passes through the coordinate (5, 0) along the x axis.

Hence, k is this case is 5.

The shaded region of the graph includes values of x lesser than or equal to 5. (left part of the graph)

Hence, the inequality satisfied by the shaded region is x <= 5. (y can be of any value)

Part A: The weekly gross pay with overtime above 40 hours is as follows:

Part B: The gross pay per pay period is as follows:

Gross pay refers to the total earnings before taxable deductions and taxes are removed.

The gross pay per week entails a total paycheck of 52 since there are approximately 52 weeks in a year.

There are 12 months in a year and 26 biweekly payments annually.

Semimonthly payments are made on two set dates in a month, which translates to 24 payments annually.

PART A: Weekly Gross Pay:

1) Hourly rate = $9.90

Total hours worked = 34

Gross pay = $336.60 ($9.90 x 34)

2) Hourly rate = $14.36

Total hours worked = 40

Gross pay = $574.40 ($14.36 x 40)

3) Hourly rate = $12.75

Total hours worked = 45

= ($12.75 x 40 + 5 x $12.75 x 1.5)

= ($510 + $95.625)

Gross pay = $605.625

4) Hourly rate = $13.40

Total hours worked = 51

= ($13.40 x 40 + 11 x $13.40 x 1.5)

= ($536 + 221.10)

Gross pay = $757.10

PART B: Gross Pay Per Pay Period:

5. Annual Salary = $26,805

Pay period = weekly

Number of paychecks = 52

Gross pay per week = $515.48 ($26,805/52)

6. Annual Salary = $49,000

Pay period = monthly

Number of paychecks = 12

Gross pay per month = $4,083.33 ($49,000/12)

7. Annual Salary = $53,278

Pay period = biweekly

Number of paychecks = 26 (52/2)

Gross pay per paycheck = $2,049.15 ($53,278/26)

8. Annual Salary = $32,450

Pay period = semimonthly

Number of paychecks = 24 (1st and 15th)

Gross pay per paycheck = $1,352.08 ($32,450/24)

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Answer:

d. [tex]\csc x +\cot x[/tex]

Step-by-step explanation:

[tex]\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}=\frac{\sin x(1+\cos x)}{\sin^2 x}=\frac{1+\cos x}{\sin x}=\csc x+\cot x[/tex]

The ratio would be 5:3

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related.

5 feet to 36 inches

converting feet to inches

1 foot = 12 inches

Therefore, 5 feet = 5x12

5 feet = 60 inches

60 inches : 36 inches

Finding the lowest possible terms

5 inches : 3 inches

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Is the ordered pair (6,4) a solution to the inequality y > -1/2 x + 7: D. No, because (6,4) is on the line.

In order to determine if this ordered pair (6, 4) is a true solution based on the given linear inequality, we would have to test the ordered pair by substituting their values into the linear inequality as follows;

For ordered pair (6, 4), we have the following:

y > -1/2x + 7

4 > -1/2 × (6) + 7

4 > -3 + 7

4 > 4 (False).

In this context, we can reasonably infer and logically conclude that the ordered pair (6, 4) is not a true solution for the given linear inequality because it is located on the line.

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The art project with an area of 63.6 square inches and length of 12 inches, have a width of is 5.3 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

Area is the amount of space occupied by a two dimensional shape or object.

Let x represent the width and y represent the length

Let us assume that the art project is a rectangle with a length of 12 inches, since the area is 63.6 square inches, hence:

Area = length * width

63.6 = xy

63.6 = x(12)

x = 5.3 in

The width of the project is 5.3 inches.

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Answer: 3hr 16min

I hope this answers your Question

The measure of central tendency of the data set that has a mode of 60, and median of 64 is the mean, 67.[tex]\overline{54}[/tex]

A measure of central tendency is a descriptive statistics that describes the location of the center of a set of data.

Measure of central tendencies includes the mean, the mode, and the median.

The mean is the average value of the data set

The mode is the value of the most frequent data of the data set

The median is the value at the middle of the dataset, when the data is arranged in order of their increasing values.

The values in the data set are;

56, 60, 60, 60, 62, 64, 64, 66, 66, 90, 95

The mean of the data = (56 + 60 + 60 + 60 + 62 + 64 + 64 + 66 + 66 + 90 + 95) ÷ 11 ≈ 67.[tex]\overline{54}[/tex]

The mode of the data = 60

The median of the data = 64

The value of the measure of central tendency that most accurately describes the set of data is 67.[tex]\overline{54}[/tex], which is the mean.

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An expression which represents the amount of money the friends still need to buy the microphones include the following: B. 8x² - 7x + 12.

In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two or more variable on a graph, with a maximum exponent of two (2).

Generally speaking, the standard form of a quadratic function is given by;

ax² + bx + c = 0

Next, we would determine the total amount of money that has been saved by these three friends, Nakobe, Mikah, and Ashton as follows;

Total amount of money saved = x² + x - 12 + 3x + 4

Total amount of money saved = x² + 4x - 8

Now, we can determine the total amount of money that is still needed for the purchase of the microphones:

Total amount of money remaining = 9x² - 3x + 4 - (x² + 4x - 8)

Total amount of money remaining = 9x² - 3x + 4 - x² - 4x + 8

Total amount of money remaining = 8x² - 7x + 12.

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Answer:

B: 8x² − 7x + 12

Answer:

  2000/17 = 117 11/17 miles

Step-by-step explanation:

You want to know the number of miles of a 250-mile trip that are not downhill if 9/17 of the trip is downhill.

The fraction that is not downhill is the difference between the fraction representing the whole trip, and the fraction that is downhill:

  [tex]\dfrac{17}{17}-\dfrac{9}{17}=\dfrac{17-9}{17}=\dfrac{8}{17}[/tex]

That fraction of the total trip miles is ...

  (8/17) · (250 mi) = (8·250)/17 mi = 2000/17 mi = 117 11/17 mi

The number of miles not downhill was 2000/17 or 117 11/17 miles.

The number sentence 4 + 4 + 1 = 9 shows one way to find the sum of 4 and 5.

What is sum of numbers?

By adding the digits of a number, we can find the sum of digits. To determine the digit sum, we can disregard the place values of the digits. For instance, 1 + 8 + 5 or 14 is the digit sum of 185.

We have to find Which number sentence shows one way to find the sum of 4 and 5.

Since, the sum of 4 and 5 equal to 9.

4 + 4 + 1 = 4 + 5

Given:

No. 1 - 4

No.  2 - 5

way   1. 4 + 5 = 9

2.  4 + 4 + 1 = 9

3. 4 + 3 + 1 + 1 = 9

4. 4 + 2 + 1 + 1 + 1 = 9

5. 4 + 1 + 1 + 1 + 1 + 1 = 9

Hence, the last option 4 + 4 + 1 is correct.

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Answer:

Step-by-step explanation:

Given various quadrilaterals with side lengths marked, you want specific side lengths.

Opposite sides of the parallelogram are the same length, so ...

  5x -18 = 2x +12

  3x = 30 . . . . . . . . . add 18-2x

  x = 10

  DA = 3x -6 = 3·10 -6 = 24

All of the sides of a rhombus are the same length, so ...

  3p -6 = 2p +9

  p = 15 . . . . . . . . . . . add 6-2p

  GS = 2p+9 = 2·15 +9 = 39

The perimeter is the sum of the side lengths.

  46 = (x +8) +(2x +1) +(3x -6) +(4x -7)

  46 = 10x -4

  50 = 10x

  5 = x

Then the side lengths are ...

The length of the shortest side is 9 inches.

__

Additional comment

The attachment shows a graphical solution to the third problem. The lines y1–y4 are the side lengths as a function of x. The black line finds the value of x that makes the perimeter be 46. That value is 5. The vertical line at x = 5 intersects the other lines at their side length values. The bottom of these is the shortest side length: 9 inches when x=5.

Answer:

A.

A math error was made when computing the total shipments for day 4.

The number of rocks that each friend will get will be 10 rocks.

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

In this case, Frank had 42 rocks that he wanted to share with his 4 friends. If he gave each friend the same number of rocks, the rocks that each friend will get will be:

= 42 / 4

= 10.5

Each person gets 10 rocks

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The dimensions of the rectangle are 25 by 4.12  feet

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

Rectangle area = 103 square feet

The area of a rectangle is calculated as

Area = Length * Width

Assume the length is 25

So, we have

Area = 25 * Width

Substitute the known values in the above equation, so, we have the following representation

25 * Width = 103

Divide both sides by 25

Width = 4.12

Hence, the dimensions are 25 by 4.12  feet

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They are independent since the sum of the number cubes is 7 B = the second number cube shows an even number.

From the information, Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is 7}, and let B = {the second number cube shows an even number}.

If the occurrence of one event does not change the likelihood that the other event will also occur, two events A and B are said to be independent. The two events are said to be dependent if the occurrence of one event affects the likelihood that the other event will also occur.

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Answer:

$5.46

Step-by-step explanation:

To calculate tax, you multiply 5.20 by 1.05

You multiply by 1.05 because this represents an increase in price

This equals 5.46 dollars

Answer:

What grade is this ? I can help you

Answer:True

Step-by-step explanation:

Answer:

Read below:

Step-by-step explanation:

To use the distributive property to solve 40x43, you can rewrite the expression as (40)(43) and then distribute the 40 to get:

40 * 43 = 40 * (40 + 3) = 40 * 40 + 40 * 3 = 1600 + 120 = 1720

To use the distributive property to solve 70x24, you can rewrite the expression as (70)(24) and then distribute the 70 to get:

70 * 24 = 70 * (20 + 4) = 70 * 20 + 70 * 4 = 1400 + 280 = 1680

Answer:

Word form:

Fifteen billion and one hundred thirty million.

The shortest way of writing this would be:

1,513 + 10 to the seventh power.

Step-by-step explanation:

Hope it helps!

Graph of function f(4x) is a parabolic shape having the x value = {1, 2, 3, 0, -1, -2, -3} and y value = {17, 65, 145, 1, 17, 65, 145}

In mathematics, a function is an expression that describe a relationship between an independent variable and dependent variable in a symbolic form.

we are given, f(x) = x² + 1

let y = f(x)

if we put 4x instead of x we get function of f(4x) = (4x) ²+1

                                                             y =     f(4x) = 16 x² +1

for different input value of x, we get different output value of y

such as x=1, 2, 3, -1, -2, -3 ,0

we get f(4x) = y = 17, 65, 145, 17, 65, 145, 1

if we put the x and y values on the XY coordinate system we will get a parabolic curve.

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The output for x = 0, is 2.

The output for x = 0, is 2.

The output for x = 0, is 2.

The output for x = 0, is 2.

An input-output table is a table that shows the relationship between sets of numbers that always follow the same rule. Input-output tables can be very complex (with several math operations) or simple (with just one math operation).

Given the equation

output = x+2

If input x = 0

output = 0+2 = 2

If input x = 1

output = 1+2 = 3

If input x = 2

output = 2+2 = 4

if input x = 3

output = 3+2 = 5

Hence for the every value x in the table the output will be 2, 3, 4, 5 respectively.

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Answer: 7.5 minutes

Step-by-step explanation:

Answer:

50 in

Step-by-step explanation:

(1)

[tex]area \: of \: the \: whole \: circle \: = \pi {r}^{2} [/tex]

= 22 × 5 ×5

7

= 78.57

(2)

[tex]area \: of \: the \: unshaded \: circle \: = \pi {r}^{2} [/tex]

= 22 × 3 ×3

7

= 28.28

(1) - (2) = Area of shaded circle

= 78.57 - 28.28

= 50.29

The value of the equation A = ( 2³ x 4 ) / 2 + 2 = 18

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A = 18

Substituting the values in the equation , we get

A = ( 2³ x 4 ) / 2 + 2   be equation (1)

On simplifying the equation , we get

2³ = 8

A = ( 8 x 4 ) / 2 + 2

A = 32/2 + 2

A = 16 + 2

The value of A = 18

Therefore , the value of A = 18

Hence , the equation is A = ( 2³ x 4 ) / 2 + 2

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Answer:

To perform a dilation with a scale factor of 2, we multiply the x and y coordinates of each vertex by 2.

R(1,3) becomes R'(2,6)

S(4,3) becomes S'(8,6)

T(3,1) becomes T'(6,2)

U(2,1) becomes U'(4,2)

To perform a translation of 2 units down, we subtract 2 from the y-coordinates of each vertex.

R'(2,6) becomes E(2,4)

S'(8,6) becomes F(8,4)

T'(6,2) becomes G(6,0)

U'(4,2) becomes H(4,0)

So, the image of trapezoid RSTU after a dilation with a scale factor of 2, followed by a translation of 2 units down is trapezoid EFGH, with vertices E(2,4), F(8,4), G(6,0), and H(4,0).

Answer:

27.551%

Step-by-step explanation:

based on the given conditions ,formulate:

(1000x1.25-980)divide by 980

calculate the product or quotient :

1250 - 980 over 980 calculate the sum which would be 270 over 980

we gon cross out the common factor 27 over 98

rewrite the fraction as a decimal = 0.27551

multiply a number to both the numeration and denominator : 0.27551 x 100 over 100

now write as a single fraction  0.27551 x 100 / 100

calculate the product = 27.551 over 100

rewrite the fraction with denominator equals 100 to a presantage = 27.551