Suppose jefferson middle school had 616 students and averaged 28 students per teacher during the year. If Jefferson Middle Schools student population increases by 18% this year and 9% of last years teacers left, how many new teachrs does Jefferson need to hire to keep its average of 28 students per teacher

Answer:

The error is the solution.

The solution is all real numbers, or infinite amount of solutions.

Step-by-step explanation:

Step 1: Write equation

-4(2n - 3) = 12 - 8n

Step 2: Solve for n

Here we see that n can equal any number. If you plug in any number n, it will render the equation true. Therefore, our solution is n = infinite amount of solutions.

n = 0 is only slightly correct. 0 does work as the solution, but there are solutions as well.

Answer:

12/25 (0.48 in decimal form)

Step-by-step explanation:

3/5 divided by 1 1/4

Make 1 1/4 an improper fraction:

1 1/4 = 5/4

Now we flip 5/4 (the second fraction) when we divide and then multiply it by the first fraction.

Our equation now:

3/5 x 4/5

After multiplying across, you get 12/25 (0.48 in decimal form).

Hope this helps!

Answer: x= 200

Step-by-step explanation: Any value greater than 103 will be equal to x. So... in this case, x= >103. (200>103).

Choice D. Because in an arithmetic sequence, you add some value that we call common difference to the preceding term in order to get the proceeding term. Choice D looks like it because it starts at 5 and we add 6 to it it'll be 11 and another 6 it'll be 17 and so on.

Answer:

B

Step-by-step explanation: the common difference is 2.7

Answer: That the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.

Step-by-step explanation:

In this case, x represents the number of years after the year 2000.

Then we can think that x = 0, represents the year 2000 itself.

Now, remember that the y-intercept is the value of y when we have x = 0.

Then the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.

The information that we can conclude with this is that the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.

Answer:

c=1/4d

Step-by-step explanation:

Answer:

c = d/4

Step-by-step explanation:

solve this literal equation using inverse operations:

4c = d

/4    /4

c = d/4

Answer: 2-

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The angles are the same, but we know nothing about the sides

For triangles to be congruent, the sides have to be the same length

Since we don't have information about the sides, we do not know if they are congruent.

Answer:

false

Step-by-step explanation:

brainliest plz

Answer:

21+6x

Step-by-step explanation:

I dont know if it is a choice but this works

you just distribute so 3*7+(3*2x)=21+6x

hope this helps

brainliest?

please

Answer:

r = 2

Step-by-step explanation:

3|3 - 5 * 2|- 3 = 18

3|3 - 10| - 3 = 18

3 * 7 - 3 = 18

21 - 3 = 18

18 = 18

(Since there are absolute value signs, the answer to |3 - 5r| will be positive)

Answer:

r=0.8

Step-by-step explanation:

3|3-5r|-3=18

9-15r -3=18

6-15r=18

15r=12

r=0.8

Step-by-step explanation:

i think the correct answer is j // k by the converse of the same side interior angles theorem

Answer:

C

Step-by-step explanation:

Answer:

if the area of a right isosceles triangle is 128. m,what will be the length of the identical side of the triangle

The name of my shape is a parallelogram. The sides are:

The perimeter is 34 feet because:

Step 1: Add smaller groups.

10 + 10 = 20

7 + 7 = 14.

Step 2: Add the two numbers.

14 + 20 = 34.

Hope this answer helps you!

Answer:$60.30

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

3x-15=27 (add 15 to both sides)

3x=42 (divide both sides by three)

x=14

The required number is -4.

A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.

Now it is given that, 15 is subtracted from three times a certain number,

the result is 27.

Now let x be the number.

Three times the number = 3x

Therefore, 15 is subtracted from three times a certain number = 15 - 3x

Therefore, the equation for 15 is subtracted from three times a certain number, the result is 27 is,

15 - 3x = 27

Subtracting 15 both the side we get,

15 - 3x - 15 = 27 - 15

⇒ -3x = 12

or, x = -12/3

⇒ x = -4

which is the required number.

Thus, the required number is -4.

More about linear equation :

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Answer:

B

Step-by-step explanation:

the line is perpendicular to y=1/2x-3

so its gradient, m, would be -2 (m¹m²= -1)

sub the coordinates and the gradient into this equation to find the equation of line in slope intercept form

y-y¹ = m(x-x¹)

The equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate, y₁ - y coordinate, m - slope

Point (-2,2)

Then the equation of a line perpendicular to the graph of y= 1/2x-3.

its gradient, m, would be; -2 (m¹m²= -1)

Now Write the equation as;

y-y₁ = m(x-x₁)

y - 2= -2(x + 2)

y = -2x - 2

Hence, the equation of the line  in slope-intercept form that passes through (-2,2) and is perpendicular to the graph of y= 1/2x-3 is; y = -2x - 2

Learn more about equations here;

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Answer:

x>2

Step-by-step explanation:

9x+5>23

9x>23-5

when the five grosses the inequality sign it changes to a negative since it was initially a positive

9x>18

[tex] \frac{9x}{9} > \frac{18}{9} [/tex]

x>2

Answer:

a) draw the triangle using the graph points

b) move the triangle 3 points to the left and 1 point down

c) translation

d) draw this shape

e) write down the coordinates

Step-by-step explanation:

The x-3 in translation tells you to move 3 squares to the left along the x axis in translation and y-1 tells you to move down one on the y axis.

Answer:

B).  $38,821

Step-by-step explanation:

By using several of the known mathematical formulas, and what is given to us at the very bottom (and top) of the answer, we can see that the correct answer is  

$38,821

on e2020

The total amount that Valerie will pay for her new car is $35,899.87.

We can use an online finance calculator to compute the total amount that Valerie will pay for her new car as follows:

Auto Price = $32,495

Loan Term = 60 months (12 x 5)

Interest Rate = 8.64%

Down Payment = $1,877

Trade-in Value = $28,433 ($32,495 x 87.5%)

Sales Tax = 8.23%

Title, Registration and Other Fees = $2,557 ($2,243 + $314)

Calculate

Monthly Pay: = $44.98

Total Loan Amount = $2,185.00

Sale Tax = $334.30

Upfront Payment = $4,768.30

Total of 60 Loan Payments = $2,698.57

Total Loan Interest = $513.57

Total Cost (price, interest, tax, fees) = $35,899.87

Thus, the total amount that Valerie will pay for her new car is $35,899.87.

Learn more about financing a car purchase at https://brainly.com/question/20566521

Answer:

First year = 30000

Second year = 12000

Step-by-step explanation:

Given

[tex]Loan = \$42000[/tex]

Represent first year with f and second year with s.

So, we have:

[tex]s + f = 42000[/tex]

and

[tex]f = 3s - 6000[/tex]

Required

Solve for f and S

Substitute 3s - 6000 for f in the first equation.

[tex]s + f = 42000[/tex]

[tex]s + 3s - 6000 = 42000[/tex]

[tex]4s - 6000 = 42000[/tex]

Collect Like Terms

[tex]4s = 42000 + 6000[/tex]

[tex]4s = 48000[/tex]

Solve for s

[tex]s = 48000/4[/tex]

[tex]s = 12000[/tex]

Substitute 12000 for s in [tex]f = 3s - 6000[/tex]

[tex]f = 3 * 12000 - 6000[/tex]

[tex]f = 36000 - 6000[/tex]

[tex]f = 30000[/tex]

Answer:

x = 11/c

Step-by-step explanation:

cx - 4 = 7

Add 4 to each side

cx - 4+4 = 7+4

cx = 11

Divide each side by c

cx/c = 11/c

x = 11/c

Answer:

The constant of proportionality of the graph is 0.75

Step-by-step explanation:

The coordinates of the points on the lines are;

(400, 300), (250, 187.5), and (120, 90)

Which can be written in a tabular form as follows;

Number of US dollars   [tex]{}[/tex]                       Number of euros

120                                 [tex]{}[/tex]                        90

250                                [tex]{}[/tex]                        187.5

400                                [tex]{}[/tex]                        300

Given that the graph is a straight line graph, we can represent the graph with the straight line equation, y = m·x + c

Where;

c = The y-intercept (where the graph meets the y-axis) = 0

m = The slope = The constant of proportionality

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]m =\dfrac{300-90}{400-120} = \dfrac{210}{280} = 0.75[/tex]

We have, y = m·x = 0.75·x.

Therefore, the constant of proportionality of the graph = 0.75.

Answer:

v=-2

Step-by-step explanation:

if v = -2, 8 x -2= -16

7.

a. This is an equation because it has to parts, separated by an equal sign

b. 5 because 5 is the number b is multiplied by in the first part

c. idk

d. a, b, and c are the variables

e. idk

sorry haven't done this in a while

Answer:

130°

Step-by-step explanation:

Line AD = 180°

Angle BED = 50°

180°-50°=130°

Answer:

Step-by-step explanation:

approx. 140 degrees