Hyung-Jin did an analysis of starting salaries of elementary school teachers in his area. He called three schools and was quoted the following salaries: \$28,300,\$27,000 , and $ 3,000, . What is the average salary in his area? Show your work.

Answers

Answer 1

Answer:

average - $19,333.33

Step-by-step explanation:

$28,300, $27,000 , and $ 3,000

total =58,000/3 = 19,333.33


Related Questions

The slope of the line that passes through the points (0,3) and (5,13) is

Answers

Answer: The slope is 2

Step-by-step explanation:

The slope is the Rise (the change in y) over the Run (the change in x).

We can calculate the Rise and Run from the two given points:

(0.3) and (5,13)

Rise = (13 - 3) = 10

Run =  (5 - 0) = 5

Rise/Run = 10/5 = 2:  the slope is 2.

The equation for this line is y = 2x + b.  The y-intercept, b [from the general form y=mx+b (where m is the slope)]  is the value of y when x=0.  The point (0,3) says y=3 when x=0, so b = 3.

y = 2x + 3.

The number 43.9 is 24% of x. What is the value of x rounded to the nearest whole number?

Answers

Answer:

183

Step-by-step explanation:

percentage=actual/base

B=A/P

B=43.9/0.24

B= 182.9=183

The value of x rounded to the nearest whole number is 183.

What is Percentage?

In mathematics, a number or ratio that can be expressed as a fraction of 100 is known as a percentage. To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As per the given data:

Number = 43.9

The given number is 24% of x.

Percentage = (value / total) × 100

By substituting the given data:

24 = (43.9 / x) × 100

x = (4390/24)

x = 182.91

after rounding off to the nearest whole number

x = 183

Hence, the value of x rounded to the nearest whole number is 183.

To learn more on Percentage, click:

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#SPJ3

What is the quotient of 9198 and 14?

Answers

Answer:

656.36

Step-by-step explanation:

you just divide then have to round the decimal point to 36

Tute Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating. 15% tip on a bill of $53.67 The amount of the tip is approximately $ Submit​

Answers

Answer:

$68.53. 67%

Step-by-step explanation:

$68. 58 I think I'm not sure

14a + 2 =
Please help

Answers

Answer: ( 2 x 7 ) a + 2

Step-by-step explanation:

In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following
of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a Johnny was asked how long it will take the population to reach complete sentence)

Answers

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

The parameters are given as:

[tex]\mathbf{P_o = 10000}[/tex]--- the population in 2005

[tex]\mathbf{r = 0.3\%}[/tex] -- the rate at which the population declines

To model a population, we make use of the following exponential function

[tex]\mathbf{P = P_o \times(1 -r)^t}[/tex]

Where P is the current population in t years.

So, we have:

[tex]\mathbf{P = 10000 \times(1 -0.3\%)^t}[/tex]

When the population reaches half of the initial population, then P = 5000.

So, we have:

[tex]\mathbf{5000 = 10000 \times(1 -0.3\%)^t}[/tex]

Divide both sides by 10000

[tex]\mathbf{0.5 = (1 -0.3\%)^t}[/tex]

[tex]\mathbf{0.5 = (0.997)^t}[/tex]

Take logarithm of both sides

[tex]\mathbf{log(0.5) = log(0.997)^t}[/tex]

Rewrite the equation as

[tex]\mathbf{log(0.5) = tlog(0.997)}[/tex]

Make t the subject

[tex]\mathbf{t = \frac{log(0.5)}{log(0.997)}}[/tex]

[tex]\mathbf{t = 231}[/tex]

This means that the population will halve its initial population in 231 years.

Johnny's assumption is that, none of the residents of the town will live up to 231 years.

Read more about population functions at:

https://brainly.com/question/25704773

Sophie decides to ride her bike also. After 3 days, she rode 114 minutes. After 8 days, she rode 304 minutes. What is Sophie's rate per day? She ridesminutes per day

Answers

Answer:

38 minutes per day

Step-by-step explanation:

Divide 114 to 3

114 ÷ 3 = 38

Divide 304 to 8

304 ÷ 8 = 38

Answer:

1 day = 38 minutes

Step-by-step explanation:

3 days = 114 minutes

=> 1 day = 38 minutes

=> 8 days = 38 x 8 minutes.

Her rate is 1 day = 38 minutes. Hoped this helped.

What is (2x-7y)^2 simplified

Answers

Answer:

4x² - 28xy + 49y²

Step-by-step explanation:

(2x - 7y)²

= (2x - 7yy)(2x - 7y)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x - 7y) - 7y(2x - 7y) ← distribute parenthesis

= 4x² - 14xy - 14xy + 49y² ← collect like terms

= 4x² - 28xy + 49y²

Stacy and Jessica own a small business. Stacy, working alone can complete a job in 8 hours. Jessica can complete the same job in 9 hours. How long would it take them to complete the job working together?

Answers

Answer:

17 hour

Step-by-step explanation:

8+9=17

HELP ASAP PLS ….. THIS IS SO CONFUSING

Answers

Answer:

-1/5

Step-by-step explanation:

-0.2

-2/10

-1/5

So just move -1/5 back from 0 .

You just need to divide 1 by the 1/5

Which relation is not a function?
A. {(2, 4), (1, 2), (0,0), (-1,2), (-2,4)}
B. {(2,4), (1, 1), (0,0), (-1, 1), (-2,4)}
C. {(2, 2), (1, 1), (0,0), (-1,1), (-2, 2)}
D. {(2, 2), (1, 1), (0,0), (1,-1), (2,-2)}

Answers

Answer: Choice D

Explanation:

We have the two points (2,2) and (2,-2) which have a repeated x coordinate. This is not allowed if we wanted a function. A function must have any x input lead to exactly one and only one output (assuming the input is in the domain).

Answer:

the correct is C. because they are lines going to 2.

PLEASE HELP WILL MARK BRAINILEST

1. The formula for the volume of a rectangular box is V = lbh. What is the formula for h in terms of V, l and b?

2. Solve 7x + 3y = m, for y

3.The formula for the potential energy P = mgh. What is the formula for m in terms of P, g, and h?

Answers

Answer:

1. h = V/lb

2. y = (m - 7x)/3

3. m = P/gh

During lunch, Mr. Lee eats a piece of chicken that contains 9 1/9 grams of protein, and Mr. Scott eats a piece of salmon that contains 7 1/7 grams of protein. How much more protein did Mr. Lee eat at lunch?

Answers

Answer:

Mr. Lee ate [tex]1\frac{61}{63}[/tex] more protein than Mr. Scott

Step-by-step explanation:

Find the least common denominator for both fractions.

9: 9, 18, 27, 36, 45, 54, 63

7: 7, 14, 21, 28, 35, 42, 49, 56, 63

Multiply 1/9 by 7/7:

[tex]9 \frac{1}{9} = 9 \frac{7}{56} \\[/tex]

Multiply 1/7 by 9/9:

[tex]7\frac{1}{7} = 7\frac{9}{63}[/tex]

Subtract the two fractions:

[tex]9\frac{7}{63} - 7\frac{9}{63} = 1\frac{61}{63}[/tex]

Solve for the unknown side of each right triangle

Answers

Answer:

x = 4.4 cm

Step-by-step explanation:

Since this is a right triangle, the Pythagorean Theorem applies:  a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.

Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:

x^2 = (6.9 m)^2 - (5.3 m)^2, or

x^2 = 47.61 - 28.09 = 19.52

Then the length, x, of the unknown side is x = +√19.52 m, or

x = 4.4 cm

Given: x + 2 < -5.



Choose the solution set.

{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}

Answers

Answer:

x < -7

Step-by-step explanation:

Subtract 2 on both sides to get x < -7.

Hope this helps :)

5у2х 1.5y
If you could do this asap ty

Answers

Answer:

[tex]2.5y^{3}x[/tex]

What is 3/4 multiplied by 3

Answers

I would say it’s 9/4.

Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.

1. 0.3, 0.9, 1.5, 2.1

2. 1, 8, 27, 64

Answers

Step-by-step explanation:

an arithmetic sequence is when every new term is created by adding a certain constant to the previous term.

1. is an arithmetic sequence. the constant is 0.6.

0.3 + 0.6 = 0.9

0.9 + 0.6 = 1.5

1.5 + 0.6 = 2.1

...

so, we have

a1 = 0.3

an = an-1 + 0.6

and

an = a1 + (n-1)×0.6 = 0.3 + (n-1)×0.6

2. is neither an arithmetic nor a geometric sequence.

it is simply

an = n³

In a telephone poll, 11 people said they like shopping and 9 people said they do not like shopping. What is the ratio of the number of people who do not like shopping to the number of people who like shopping? hurry I need helpppp

Answers

Answer:

9:11

Step-by-step explanation:

well 11 and 9 can be simplified so......

b)
Solve the system by substitution.
2x – 6y = –24
x = 5y – 22

Answers

Answer:

Solution: 2x-6y divided by -24

2x=-24(-6y)

2x=6y-24

x=(6y-24) divided by 2

x=(6y-24)x 1/2

x=6y x 1/2 -24 x 1/2

x=3y-24x1/2

x=3y-12

457x64-(163+208x45) + ( 2820÷20)-1802

Answers

Answer:

18064

Step-by-step explanation:

these equations are always in this order:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

To remember this, my teacher told us the phrase; "Please Excuse My Dear Aunt Sally".

The first three terms of an arithmetic sequence are as follows.

52, 44, 36

Find the next two terms of this sequence.

Answers

Answer: 8

Step-by-step explanation:

8x-3y=9
3x+2y=8
(Guys need help on this simultaneous equation)

Answers

Step-by-step explanation:

sorry that's all i know hehe


What are the coordinates of the vertex for the function shown below ?

Answers

Answer:

Step-by-step explanation:

We can answer this in two ways:  Differentiation and Graphing.

Differentitate:

The first derivative of a function yields a function that provides the slope for any point on the line of the original function.  The slope of a vertex is zero, so we can set the first derivative to 0 and solve for x.

f(x) = 3(x-1)^2 + 4

f(x) = 3(x-1)(x-1) + 4

f(x) = 3(x^2 - 2x + 1) + 4

f(x) = 3x^2 - 6x + 7

f'(x) = 6x -6

Set this = 0 and find x:

0 = 6x -6

x = 1

The value of y when x=1 in the original equation is:

f(1) = 3(1-1)^2 + 4

y = 4

The vertex is (1,4)

Graph:

You can use DESMOS to plot the function.  The result is attached.  Look for the vertex and read the coordinates.  (1,4) seems to work.

Find the value that makes the equation below true:

6r+7 = 13+7r

Answers

r=-6
just solve for x

At a hockey game a vendor sold a combined total of 168 sodas and hotdogs. The number of sodas sold was two times the number of hotdogs sold. Find the number of sodas and the number of hotdogs sold.

Answers

Step-by-step explanation:

168/3 = 56

so 112 sodas

56 hotdogs

Type the missing number in this sequence:
5,
12, 19,
26,

Answers

Answer:

33

Step-by-step explanation:

You are adding 7 each time.

Hope this helps :)

Answer:

33

Step-by-step explanation:

Sequence is the progression of a number in a sequencial order.

[tex]5 + 12 + 19 + 26 + 33[/tex]

which one is the answer? Please i need this quick

Answers

Answer:

Step-by-step explanation:

what is the question

10. Triangle JKL is shown. Based on the information in the diagram, what is the measure of ZJKL? (G6D)

Answers

Answer:

Angle K = 70degrees

Angle L = 68degrees

Step-by-step explanation:

Angle in a triangle add up to 180degrees

Figure out triangle the small triangle to the left side of the paper.

42+68+x=180

110+x=180

X=70

Angle K = 70degrees

Knowing that figure for angle L

70+42+x=180

112+x=180

X=68

Angle L = 68degrees

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT

Answers

Answer:

115°

Step-by-step explanation:

Since ∠ACM and ∠ACE form a straight line that means that they are supplementary (they add up to 180°). So, if m∠ACB is 65°, then m∠ACE is 180° - 65° which is 115°

Answer:

115

Step-by-step explanation:

[tex]fca + acb + bcd = 180 \\ 90 + 65 + bad = 180 \\ bad = 25 \\ \\ bad = fce \\ fce = 25 \\ \\ ace = acf + fce \\ = 90 + 25 \\ = 115[/tex]

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