Identify any misrepresentation issues in the given graph. ▪︎The horizontal axis scale is not appropriate. ▪︎The horizontal axis ticks are not placed correctly.▪︎ The vertical axis scale is not appropriate. ▪︎The vertical axis ticks are not placed correctly. ▪︎The axis labeling is not complete. ▪︎There are distracting visual effects. ▪︎The graph is designed appropriately.

Answer:

There are 54 4th graders.

There are 48 5th graders.

Step-by-step explanation:

1/6 of the 4th graders is 9 students.

1/6 x = 9

x = 9 × 6

x = 54

There are 54 4th graders.

1/3 of the 5th graders is 16 students.

1/3 x = 16

x = 3 × 16

x = 48

There are 48 5th graders.

There are 54 Fourth grader and 48 Fifth graders were enrolled in the school.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number of fourth graders be x.

and, let the number of fifth graders be y.

As, One-sixth of the fourth graders is 9.

and, one-third of the fifth graders is 16.

Then, 1/6 x = 9

x= 54

and, 1/3 y= 16

y= 48

Hence, there are 54 Fourth grader and 48 Fifth graders were enrolled in the school.

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This problem is about a simple algebraic expression which we need to reduce in its simplest form. To do that, we need to reduce like terms, that is, terms that are similar, for example, terms 5x and 9x are similar because they have the same variable; also terms 12, 4, and 16 are also similar because they are single numbers.

Now, we reduce them using the algebraic sum properties, that is, numbers with the same sign will sum, and numbers with different signs will subtract:-

Then, we have

Given:

Find: Slope - intercept form.

Sol:

Slope - intercept form:

Slope intercept form of equation is:

We need to first determine the expression of the line, for that we will use the point slope form, which is given below:

Where m is the slope and (x1, y1) are the coordinates of a known point on the line.

Now we need to graph it, for that we need two points. We already know the coordinates of one of them (5,2), now we need another, we can use the point for which x is equal to 0.

Now we have (0, 23/4). We need to draw a line that passes

The given expression is

To solve this, we just have to replace each value of the sum in the expression, then we sum. Let's do it

Now, we sum all these items

Answer:

The values of h and k are 9 and -8, respectively

Step-by-step explanation:

This is how to determine the values of h and k

The vertex of the function g(x) is located at (9, –8)

The vertex of a function is represented as:

Vertex = (h,k)

This means that:

(h,k) = (9,-8)

By comparison, we have:

h = 9 and k = -8

So, the values of h and k are 9 and -8, respectively

Given that:

- There are 15 strawberry chews in the bag.

- There are 5 cherry chews in the bag.

You know that there is no orange chew in Kaylee's bag. Therefore, knowing this, you can determine that the probability that Kaylee reaches in without looking and pulls out an orange chew is:

By definition, the probability is zero when it is impossible for the events to happen.

Since there is no orange chew in her bag, it is impossible that she reaches in

without looking and pulls out an orange chew.

Hence, the answer is: Impossible.

3

1) The number to be found, is a multiple of 5 and also greater than 526 but also lesser than 541.

2) So we have, the next number whose last digit is 5 immediately greater than 526 and lesser than 541 is 535

3) So 3 is the missing digit

Answer:

A is correct.

0 < x < 75 represents the correct domain.

We have the following:

5)

solving for x:

6)

solving for x:

From the information on the pie chart, the proportion of students that participated in dances is 20 out of 100.

Then, if we represent this in a bar chart where 100% is 10 squares, the proportion of students that participated in dances should be represented by:

Answer: 2 shaded squares out of 10 squares

First we can simplify the result

in order to know the missing fraction, we will call x

we can check it

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

CONCLUSION:

The final answer is:

( OPTION C )

To determine how many employees have more than 10 years of service we need to look for dots that are to the right of the "10" position on the horizontal axis. There are a total of 11 employees that fit that criterion. We now need to look for which of these 11 employees earn less than 40,000 per year, for that we have to find the number of dots below the line of 40,000 and to the right of 10 years of service. There are a total of 5 dots.

There are 5 employees with more than 10 years of service which earn less than $40,000.

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

Step 01:

We must analyze the problem to write the expression.

Step 02:

The expression is:

x = number

1 + 1 * x

The solution is:

1 + 1 * x

First option describes line e: Each point is less than 4 units from the y-axis.

The second option describes line f:

We have the following division:

for this, we have to divide each remainder by x, and use the law of signs in reverse order. The division will look like this:

Therefore, the result of the division is:

Answer:

4

Explanation:

Given the below function;

To find g(7), all we need to do is substitute the x for 7 in the below and solve;

It is given that,

The amount she invested in Fund A was $7000 less than the amount she invested in Fund B.

So, A=B-7000

And it is given that, Fund A returned a 7% profit and Fund B returned a 3% profit.

The total profit from the two funds together was $1610.

It can be written as,

7% of A +3% of B=1610

Substitute A=B-7000, we get

7% of (B-7000) +3% of B=1610

On solving we get,

Hence, the investment in fund B is $21,000.

Using the law of sines:

Using the triangle sum theorem:

Upload the picture please,

First you need to find the slope using the formula

Slope = (y2 - y1) / (x2 - x1)

Choose two points from the table

P1 = (6, 38)

P2 = (5, 32)

Identify x1, y1, x2, y2

x1 = 6 y1 = 38 x2 = 5 y2 = 32

Substitute the values to find the slope

slope = m = (32 - 38) / (5 - 6)

= -6/-1

= 6

Find the equation of the line using the formula

y - y1 = m(x - x1)

x1 = 6 y1 = 38

Substitution

y - 38 = 6(x - 6)

Simplify

y - 38 = 6x - 36

Solve for y

y = 6x - 36 + 38

y = 6x + 2

let s1 and s2 be the distance covered by the two buses

s1 + s2 = 350 ................................eqn I

velocity (v) = distance (s)/time (t) .........................eqn II

from eqn II the velocity of the first bus, v1 = s1/t1

s1 = v1t1 .................................eqn III

velocity of the second bus, v2 = s2/t2

s2 = v2t2 ...........................eqn IV

substitute eqn III and eqn IV into eqn I

v1t1 + v2t2 = 350

the time taken for any two moving objects to simultaneously cover any distance is equal. Thus,

t1 = t2 = t

eqn V becomes

v1t + v2t = 350

t(v1 + v2) = 350

v1 = 40

v2 = 60

t(40 + 60) = 350

100t = 350

divide both sides by 100

100t/100 = 350/100

t = 3.5 hours

Ty hiked up a mountain to 2523 meters above sea level.

Height of the TY above the sea level = 2523meter

. Pete is a scuba diver and dove 319 meters below sea level

Depth of the Pete = 319 meter

To find the how much higher was Ty than Pete,

Find the differecne between thier disatnce from sea level

Answer: Ty was 2204 meter higher than Pete

Therefore, when daily output is 106300 units, the cost will be at its lowest.

The average cost, or how much it generally costs to produce a unit, can be discovered using the cost function. The average cost function is defined as A(x)=C(x)x, where x > 0. The average cost per unit is calculated by dividing the total cost by the number of units produced. Costing is necessary to make sure that all costs are met and that the group decides on a price that will result in a profit. Finding ALL of a company's costs, including manufacturing, sales, administration, overhead, etc., is the first and most crucial stage. Costs are then divided into fixed and variable costs.

Given,

C=0.04x2 - 8.504x + 25302....... (1), where x is the number of units produced in thousands, gives the cost of generating x thousands of units of lemon-scented widgets in a day.

We must determine the daily production rate that will reduce costs.

dC/dx = 0

The current prerequisite for minimum cost is

0.08x - 8.504 = 0

0.08x = 8.504

x = 106.3

In light of equation (1),

x =106.3

Therefore, when daily output is 106300 units, the cost will be at its lowest.

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The equation is:

P = 5M

The graph is shown in the explanation

Given that a printer prints 5 photos per minute.

Since P represents the number of photos printed in M minutes, we have:

The graph of this is shown below:

Answer

The answer = 5,184,000,000

There are 5,184,000,000 possible phone numbers.

Explanation

The question told us that telephone numbers are in the form NYZ-ABC-XXXX, then proceeds to give us the restrictions on some of the positions available.

- N can only be numbers: 2-9;

- Y can only be numbers 0-7

- and A&C cannot be 2

We are then told to calculate the number of phone numbers possible.

This question is a special type of permutation and combination.

To solve it, it will be a multiplication of the possible numbers that can take up each position.

N, can only be numbers 2 to 9. Number of possible digits = 8

Y, can only be numbers 0 to 7. Number of possible digits = 8

Z, no restriction, can have numbers 0 to 9. Number of possible digits = 10

A, number cannot be 2. Number of possible digits = 9

B, no restriction, can have numbers 0 to 9. Number of possible digits = 10

C, number cannot be 2. Number of possible digits = 9

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

Total number of possible phone numbers

= 8 × 8 × 10 × 9 × 10 × 9 × 10 × 10 × 10 × 10

= 5,184,000,000

Hope this Helps!!!

Answer:

$663.95

Explanation:

Given the following:

Original price of a camera: $799.95

Discount: 17%

Discounted price = 17% of original price of the camera

Discounted price = 0.17*$799.95

Discounted price = $135.99

Selling price = Original Price - Discounted price

Selling Price = $799.95 - $135.99

Selling price = $663.96

Hence the selling price is $663.95

The budget of a new house can only afford 1/4 of the floor area

the total area of the floor is designed to be 2200 square feet

15% of the floor is tiled

let the budget be x

area to be done in ceramic tile is 1/4 x the total budget

1/4 * 2200 = 550

550 square feet area of the floor will be use for ceramic tiles alone

Answer:

3

Step-by-step explanation:

0+1=1-1+0+2=3-3+1+2+0-1=4

2387.25 is the amount of tax

Take the original price and multiply by x to get the tax added

26525 * x = 2387.25

Divide each side by 26525

x = 2387.25/26525

x =.09

Change this to a percent form

.09 * 100%

x = 9 %

The sales tax percent 9 %