Point C is between A and B on AB. Use the given information to write an equation in terms of x. Then solve the equation to find x, AC, BC, and AB.

Given:

Two bags have a total weight of 8 3/4 pounds.

What could be their individual weights?

To answer the question, we will select the option that gives a sum of 8 3/4

We will check the options:

A. 7 pounds and 3/4 pounds

The sum = 7 + 3/4 = 7 3/4 pounds

So, option A is wrong

B. 3 1/4 pounds and 5 1/2 pounds

The sum = 3 1/4 + 5 1/2 = 8 3/4

So, option B is correct

C. 4 3/4 pounds and 4 pounds

The sum = 4 3/4 + 4 pounds = 8 3/4 pounds

So, option C is correct

D. 8 pounds and 1/4 pounds

The sum = 8 + 1/4 = 8 1/4

So, option D is wrong

E. 6 pounds and 2 3/4 pounds

The sum = 8 3/4

So, E is correct

The answer will be: B and C and E

The sum of angle 3x and 45 is equal to 72. So equation for x is,

Simplify the equation to obtain the value of x.

Determine the measure of angle 3x.

So value of x is 9 and measure of angle 3x is 27 degree.

The complement of a set x is everything in the in x by not 4 sets is denoted by: x'

The diagram contains a rectangle labeled with italic capital y. There is an oval inside the rectangle labeled with an pituitary capital X The region outside the oval but Inside the rectangle is shaded.

The outside of that figure is "not = x" or the logical nation of x.

A Venn diagram consists of two or three intersecting circles each representing a class labeled with a capital letter. Lowercase x and shading is used to indicate the presence or absence of some member of a particular class.

To solve the three-circle Venn diagram first enter the number of elements common to all three file sets. Then enter the remaining number of items in the Overlap area for each statement pair. Enter the number of remaining items in each set. Finally, find missing values ​​using all known sums.

Learn more about A Venn diagram here:-https://brainly.com/question/24713052

#SPJ1

Given:

There are given the statement:

The angle of elevation and the angle of depression are congruent:

Explanation:

According to the concept:

The angle of elevation and the angle of depression are congruent because they belong from an alternate interior angle.

Final answer:

Hence, the correct option is B.

Given:

Number of baseball points = 45 points

Number of basketball points = 14 points

Number of football points = 21 points

number of soccer points = 20 points.

To find the ratio of soccer to baseball points, we have:

soccer : baseball = 20 : 45

in simplest form, divide both sides by 5 which is the Greatest Common Factor (GCF) of both numbers.

Thus, we have:

20÷5 : 45÷5 = 4:9

Therefore, the ratio of soccer to baseball in simplest form is = 4 : 9

ANSWER:

4 : 9

The initial price of the computer was $X.

The current price is $0.36X

Thus, the current value is X-0.36X.

By taking the common factor, this can also be expressed as:

X(1-0.36).

Hence, the two(2) expressions that represent the value of the laptop today are options B and option D.

To find the answer to this question, find the difference between the old television weight and the new television weight. Substract 32 to 81:

The old television weighs 49 pounds more than the new one.

Answer

Option B is correct.

Initial velocity = 32 ft/s

Initial height = 24 ft.

Explanation

The function gives us the function that models the height, h, in feet for the ball as a function of time, t, in seconds.

h(t) = -16t (t - 2) + 24

We are then asked to find the initial velocity and the initial height of the ball.

This means we find the velocity and the height of the ball at t = 0

Velocity is given as the first derivative of the height function

v = (dh/dt)

h(t) = -16t (t - 2) + 24

h(t) = -16t² + 32t + 24

v = (dh/dt) = -32t + 32

When t = 0

v = -32t + 32 = -32 (0) + 32 = 0 + 32 = 32 ft/s

Initial velocity = 32 ft/s

For the initial height, t = 0

h(t) = -16t (t - 2) + 24

h(t) = -16t² + 32t + 24

h(0) = -16(0²) + 32(0) + 24

h(0) = 0 + 0 + 24

h(0) = 24 ft

Initial height = 24 ft.

Hope this Helps!!!

QUAD magnified 4 times gives Q'U'A'D'

D(7,0)

Q(0,0)

Then center of rectangle is at (D -Q)/2= 3.5

Area of rectangle QUAD= (7-0)•(5-0) = 35

4times area QUAD = 4x35= 140

Then

Q'= (0,0)

Q'U'= 4xQU = 4x5 = 20

(a) From the graph, the average recent college graduate engineer makes $65000, and the average recent college graduate accountant makes $40000. Therefore, an engineer makes $65000 - $40000 = $25000 more than the accountant.

(b) In marketing, the average graduate degree holder makes approximately $80000 (rounded down to the nearest thousand), and the average recent college graduate makes approximately $35000 (rounded down to the nearest thousand). Therefore, the average graduate degree holder makes $80000 - $35000 = $45000 more than the average recent college graduate

(c) graduate degree holder architect average earning: $75000 (rounded down to the nearest thousand)

average recent college graduate architect average earning: $35000 (rounded down to the nearest thousand)

The percent increase is computed as follows:

(d) graduate degree holder nurse average earning: $ 80000 (rounded down to the nearest thousand)

average recent college graduate nurse average earning: $45000 (rounded down to the nearest thousand)

The percent increase is computed as follows:

(e) Comparison between average earning of a degree holder and of a college graduate for each area:

Engineers

Increase = degree holders - college graduate

Increase = 110000 - 65000

Increase = 45000

Nurses

Increase = degree holders - college graduate

Increase = 80000- 45000

Increase = 35000

Finance

Increase = degree holders - college graduate

Increase = 100000 - 45000

Increase = 55000

Accountant

Increase = degree holders - college graduate

Increase = 85000 - 40000

Increase = 45000

Architects

Increase = degree holders - college graduate

Increase = 75000 - 35000

Increase = 40000

Marketing

Increase = degree holders - college graduate

Increase = 80000 - 35000

Increase = 45000

The greatest increase from college graduates to degree holders is in Finance

Number of sodas sold = 80

Number of hot dogs sold = 23

Let th number of sodas be xs

Let the number of hot dogs be h

The vendor sold a combined total of 103 sodas and hot dogs

s + h = 103............(1)

The nmber of soda sold was 57 more tha n the number of hot dogs sold

s = h + 57........()

Subtitute equation (2) into equation (1)

h + 57 + h = 103

2h = 103 - 57

2h = 46

h = 46/2

h = 23

Substitute h = 23 into equation (2)

s = 23 + 57

s = 80

Number of sodas sold = 80

Number of hot dogs sold = 23

Answer:

4 cups

Explanation:

First, we calculate the volume of the regular size popcorn:

Given that:

Thus, if each pair of 2 students share one regular-size popcorn, each student will get approximately 4 cups.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

264 + 638

Step 02:

place value blocks

264

+ 638

_______

902

That is the full solution.

tutor loses connection for 30+

Answer:

Step-by-step explanation:

The population means is an average of a group characteristic. A characteristic is just an item of interest.

Then, for the population mean and standard deviation of the age for males;

Total of population: 266

b: When x increases by 1, y increases 1 unit.

c. Apply the slope formula (m)

Replace with 2 points form the table:

For example:

Point 1 = (x1,y1)= (0,3)

Point 2= (x2,y2)= (1,4)

Replacing:

Slope = 1

It doesn't need to be written because x multiplied by 1 is equal to x.

Graph.

y=mx+b

y=x+3

Where :

b= y-intercept = 3( where the line crosses the y-axis)

m= slope=1

Recall that the domain is all the values of the graph from left to right.

From the given graph we get that its domain consists of all values greater than or equal to 0 and less than or equal to 42.

Then the domain of the given function in algebraic notation is:

Answer: Option D.

Volume of a cylinder = base area x heigth

Volume = 603.2 in3

Height = 12 in

Replacing:

603.2 = base area x 12

603.2/12 = base area

Base area = 50.26 in2

We have the following:

Bob's earnings can be calculated with the following equation

where x is the number of hours, they tell us that he made a profit of $ 207.50, we replace and solve for x

Therefore, Bob worked a total of 5 hours

From the question we're told that the sum of two consecutive numbers is 85,

Let the 1st number by y,

And the consecutive number be y+1

So, the sum of these two numbers will be equal to 85;

Let's go ahead and solve for y in the above equation;

So the first number is 42.

Let's find the consecutive number;

Therefore, the "first number = 42" and "consecutive number = 43"

FiThe radius, in inches, grows as a function of time in minutes according to:

We know that the area of a circle is given by:

Where r is the radius of the circle. Then, using r(t) in this equation:

Finally, we evaluate this function for t = 2:

First, we need to find 45% of $12

45% of $12 = 45/100 x12 = $5.4

He bought the shirt : $12 - $5.4 = $6.6

Therefore he saved $5.40

Answer:

1/4 x 1/2 =1/8

Step-by-step explanation:

The circle is split into four parts (1/4)

Then one of the parts is split in half (1/2)

So the equation represented by the model is 1/4 x 1/2 = 1/8

Answer:

1/4x1/2=1/8

Step-by-step explanation:

this is because it has 4 pieces and then it shows 1/2 of a 1/4 piece

x³ + 2x² - 9x - 18 is the polynomial function of least degree with integral coefficients that had the zeros -3 , 3 , -2.

Given, the zeros of a polynomial be,

-3 , 3 and -2

As, the polynomial has 3 zeros then the degree of the polynomial is also be , 3.

Let the polynomial be,

p(x) = (x - (-3))(x - 3)(x - (-2))

p(x) = (x + 3)(x - 3)(x + 2)

On multiplying the factors, we get

p(x) = (x² - 3²)(x + 2)

p(x) = (x² - 9)(x + 2)

p(x) = (x³ - 9x + 2x² - 18)

p(x) = x³ + 2x² - 9x - 18

So, x³ + 2x² - 9x - 18 is the polynomial function of least degree with integral coefficients that had the zeros -3 , 3 , -2.

Hence, x³ + 2x² - 9x - 18 is the polynomial function of least degree with integral coefficients that had the zeros -3 , 3 , -2.

Learn more about Polynomials here https://brainly.com/question/23974386

#SPJ9

we have the exponential function

For t=7 hours

substitute

Here, we want to simplify the expression

To do this, we shall use the term outside the bracket to multiply the terms inside the brackets before we proceed to add them together

We have this as follows;

Solution:

Given:

Graphs showing lines through different points.

To get the line of best fit for the data.

The line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points.

It is the line that touches most points or passes through most of the points.

From the four graphs given, the line that touches or passes through most points is;

Therefore, the graph above is the line of best fit.

The second graph is the correct answer.

ANSWER

EXPLANATION

The graph of the parent function f(x) = [x] is

The function has the value of x until the next integer. So we have:

f(x) = 0 when x = 0 until x = 1, and then it changes to f(x) = 1. This is for all values of x. We can say that the function "jumps" on each integer and then keeps its value.

If we do a vertical shift of 2 units we have to add 2 to each value of the parent function. This way the shifted function is f(x) = 2 when x = 0 until x = 1, and then it jumps to f(x) = 3:

Since all the sides of the figure have the same length, then the figure is a rhombus. Then, its diagonals intersect at an angle of 90°.

Let O be the intersection of the diagonals of the rhombus. Notice that the triangle EOA is a right triangle. Since the side EA is the hypotenuse of the triangle, then, recalling the trigonometric functions:

Use this information to solve for the segments EO and OA:

Since the diagonal EM is twice the segment EO and the diagonal BA is twice the segment OA, then the lengths of the diagonals are:

Therefore, the answer is:

Given the function:

As the coefficeint of x = 1

So, the given function represents a parent function