The current population of a small city is 38500 people. Due to a loss of jobs, the population is decreasing by an average of 150 people per year. How many years (from now) will it take for the population to decrease to 36400 people?

A) Write an equation you can use to answer this question. Be sure all the numbers given above appear in your equation. Use X as your variable and use no commas in your equation.

B) Solve your equation in part [A] for X

Answer:

solution 25 over 2

Step-by-step explanation:

Answer:

x=12.5

Step-by-step explanation:

Solution,

8x +80 = 180

or, 8x = 180-80

or, x = 100/8

or, x = 12.5

.:. x = 12.5

Answer:

x=8

Step-by-step explanation:

3(10-x)=6

30-3x=6

-30. -30

-3x/-3= -24/-3

Divide -3 to both sides

x=8

Brainliest please

Hope this helps :D

Answer:

y = -[tex]\frac{3}{2}[/tex]x + 4[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given: 3x + 2y = 9

Get y alone: 2y = -3x + 9

Get y alone part 2: y = -[tex]\frac{3}{2}[/tex]x + 4[tex]\frac{1}{2}[/tex]

Unless we have an x value this is as far as we can solve. Have a nice day! :D

(side note: it is now also in slope-intercept form!)

Answer:

6 batches  

Step-by-step explanation:  

24 people x 4 cupcakes = 96 cupcakes  

96 cupcakes / 16 per batch = 6 batches  

Hope this helped, have a nice day! :)

The sum of angles in a parallelogram adds up to 360 degrees

The values of x and y are 25 and 15, respectively.

The angles are given as:

[tex]\mathbf{\angle 1 = 4x + 13}[/tex]

[tex]\mathbf{\angle 2 = 4y + 7}[/tex]

[tex]\mathbf{\angle 3 = 3x - 8}[/tex]

[tex]\mathbf{\angle 4= 5x - 12}[/tex]

The opposite angles of a parallelogram are equal.

So, we have:

[tex]\mathbf{4x + 13 = 5x - 12}[/tex]

Collect like terms

[tex]\mathbf{5x - 4x = 13 + 12}[/tex]

[tex]\mathbf{x = 25}[/tex]

Simiarly, we have:

[tex]\mathbf{4y + 7 = 3x -8}[/tex]

Substitute 25 for x

[tex]\mathbf{4y + 7 = 3 \times 25 -8}[/tex]

[tex]\mathbf{4y + 7 = 75 -8}[/tex]

[tex]\mathbf{4y + 7 = 67}[/tex]

Subtract 7 to both sides

[tex]\mathbf{4y = 60}[/tex]

Divide both sides by 4

[tex]\mathbf{y = 15}[/tex]

Hence, the values of x and y are 25 and 15, respectively.

Read more about quadrilaterals at:

https://brainly.com/question/6321910?referrer=searchResults

Answer:

5 and 1

Step-by-step explanation:

for the first one, replace x with 2 and then do 6-1=5

for the second one replace x with 1. 1 to the second power is 1

Answer:

perennials in education

Answer:

[tex]f(x) = 8 x + 5...(1) \\ f(x) = 21...(2) \\ (1) = (2) \\ 8x + 5 = 21 \\ 8x = 21 - 5 \\ 8x = 16 \\ x = \frac{16}{8} = 2 \\ x = 2 \\ thank \: you[/tex]

Answer:

[tex]f(x) = 8x + 5 \\ f(x) = 21 \\ 8x + 5 = 21 \\ 8x = 21 - 5 \\ 8x = 16 \\ x =\frac{16}{8} \\ \boxed{x = 2}[/tex]

Answer:

6.3151

Step-by-step explanation:

461 ÷ 73 = 6.31506

it gets rounded to the 4th decimal place of to 6.3151

Answer: He will get 10$ in interest, so 210$ in total.

Answer:

-42 ft

Step-by-step explanation:

Answer: 2 hours 30 minutes in total.

Step-by-step explanation: Because when it says that a game lasts for 5/8 hours and Jane only play 4 of these games, Which means that you have to multiply the number of hours lasted by the total number of games that have been played. Therfore 5/8 x 4 = 20/8 but you simplify your answer and you will get 2 hours and 30 minutes in total.

Answer:

x= (2/5)-(2y/5)      (Im not sure if this is what you need but this is the answer simplified)

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

Answer:

there is no solution

Step-by-step explanation:

Answer:

1001 y

Step-by-step explanation:

Answer:

y=125º

Step-by-step explanation:

135+x=180            180-135=x    45=x

180-100=80

80+45+x=180             100=x+45          55=x

interior angles are 45,80,55

180=y+55

125=y

Answer:

the formula finding area in a trapezoid is A=a+b

2h.

Step-by-step explanation:

Answer:

It is the first one. A 3/4 / x  =  1mile/ 5280 ft.

Step-by-step explanation:

Answer:

is the first one. A 3/4 / x  =  1mile/ 5280 ft.

Step-by-step explanation:

Answer:

0.819

Step-by-step explanation:

0.122+0.183+0.209+0.183+0.122=

9514 1404 393

Answer:

  w = ms +10e

Step-by-step explanation:

The basic idea is to undo what is done to w. Here, 10e is subtracted, and the difference is divided by m. We undo these in reverse order. To undo the division, we multiply by m. To undo the subtraction, we add the quantity that was subtracted. Any operation that we perform must be done to both sides of the equation.

  [tex]s = \dfrac{w - 10e}{m}\qquad\text{given}\\\\ms=w-10e\qquad\text{multiply by $m$}\\\\ms+10e=w\qquad\text{add $10e$}[/tex]

Usually, you want to write that with w on the left:

  w = ms +10e

Answer:

Step-by-step explanation:

x = 75°

75° + 75° + a = 180°

a + 150° = 180°

a = 180° - 150°

a = 30°

y + 30° = 90°

y = 90° - 30°

y = 60°

I hope I've helped you

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required values are ~

[tex] \boxed{x = 75 \degree}[/tex]

and

[tex] \boxed{y = 60 \degree}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

As it's shown in the figure, the sides opposite to x and Angle 75° are equal. So the corresponding Angles are also equal to one another.

that is ~

I have taken an angle and marked it as " m " in the attachment.

So, according to Angle sum property of a triangle,

now, it's given that the sum of Angle y and Angle m is 90°

hence,

Answer:

(6x2-5)(x2+2)

Step-by-step explanation:

6x⁴-5x²+12x²-10

collect the like terms

(6x⁴+12x²)-(5x²-10)

6x²(x²+2)-5(x²+2)

(6x²-5)(x²+2)

Answer:

The expression simplified is as follows:

[tex](4x-1)^{2}[/tex] · [tex](3x+2)^{3}[/tex]

Hope this helps and have a nice day!

Answer:

x = 9

Step-by-step explanation:

Find common denominator

[tex]\frac{d}{3} +\frac{3*9.9}{12.9}[/tex]

Combine fractions with common denominator

[tex]\frac{d+3*9.9}{3} =12.9[/tex]

Multiply the numbers

[tex]\frac{d+29.7}{3} =12.9[/tex]

Multiply all terms by the same value to eliminate fraction denominators

[tex]3(\frac{x+29.7}{3} )=3 * 12.9[/tex]

Cancel multiplied terms that are in the denominator

x=29.7= 3 · 12.9

Multiply the number

x= 12.9=38.9

Subtract 297 from both sides of the equation

x+29.7-29.7=38.9-29.7

Simplify

x = 9.0

Hence, the answer is 9.

Answer:

2 2/3

Step-by-step explanation:

Answer: 6 feet

Step-by-step explanation: 12 x6 =72 or 72/12 =6

Answer:

8

Step-by-step explanation: