Over 20 years, the population of a town
decreased by 275 people to a population of
850. Write and solve an equation to find the
original population.

Answers

Answer 1

Answer:

p= 1125

Step-by-step explanation:

p-275= 850

p- 275= 850

  + 275  +275

p= 1125

P= the original population minus D= decrease in population is equal to C= the current population

p-d=c

Answer 2

Answer:

1125 people

Step-by-step explanation:

We don't know the exact quantity, but we know it has decreased by 275 and it's currently 850, so we will represent it like this:

x - 275 = 850

x = original amount of people

Now we just solve it like any equation

x = 850 + 275

x = 1125

Hope it was helpful ;)


Related Questions

a cinema has three screens last saturday there were 500 visitors

Answers

Yes very much so good job

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

Therefore, 175 visitors went to screen 3.

Step-by-step explanation:

write down an expression for the nth term of the following sequence

5, 11, 17, 23, ...

Answers

Answer:

[tex]a_{n}[/tex] = 6n - 1

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence

d = 11 - 5 = 17 - 11 = 23 - 17 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 6 , then

[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1

6n-1
Because:
6n= 6,12,18,24
6n-1=6x1-1=5,6x2-1=11,6x3-1=17 and 6x4-1=23

A weather station on the top of a mountain reports that the temperature is currently 0°C and has been falling at a constant rate of 3°C per hour. If it continues to fall at this rate, find each indicated temperature.

Answers

Answer:

-6°C

-15°C

 -1.5°C

Step-by-step explanation:

The computation is shown below:

in one hour the temperature falls by 3°C i.e.

= 0 - 3

= -3°C

In  two hours

= 2 ×  - 3°C

= -6°C

In  five hours

= 5 × -3°C

= -15°C

in half an hour

= 0.5 × -3°C

= -1.5°C

Find the area of the circle if r=13 ​

Answers

Answer:

530.93

Step-by-step explanation:

Answer:

a= 530.93 or the closest number to it...

Step-by-step explanation:

your welcome

Please help i will give brainliest

Answers

Answer:

-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8

Step-by-step explanation:

Answer:

-4.2

-3.5,

-2.1,

-1

-1.5

-0.5

1

3.5,

4.8

Step-by-step explanation: Please feel free to point out if I'm wrong or if I missed any (i did spaces so you could see easier, also from top to bottom is least to greatest)

PLEASE HELPPPPPPPP
Solve for p.

–5 = –(p − 5) + –1

p =

Answers

Answer:

9

Step-by-step explanation:

-5= -p+5-1

-5= -p+4

-9=-p

p=9

if my answer helped please mark as brainliest.

Answer:

p = 9

Step-by-step explanation:

-5-((-p-5)-1)=0

Subtract  1  from both sides of the equation :

                     p = 9

b. After the 10th graduation
ceremony, how many total
graduates are there? Explain how
you determined your answer.

Answers

Answer:

chccucuxudhwhhwhsvahajw 10th g - ceremony

Find x

4x^2-4=3x^2-3x

Answers

4

2

4

(

3

2

3

)

=

Answer:

Step-by-step explanation:

Triangle QRS has the angle measures shown.

What is the measure of the obtuse angle?

m2Q=(1x)

mZR= (3x)

m25 = (6x)

O 18

54

108

© 216

Answers

Answer:

108 degrees

Step-by-step explanation:

Given the following angle measures in triangle QRS

m<Q = 1x

m<R = 3x

m<S = 6x

Note that the largest angle is the obtuse angle since they are always greater than 90 and less than 180 degrees

The sum of angle in a triangle is 180 degrees

m<Q + m<R + m<S = 180

1x + 3x + 6x = 180

10x = 180

x = 180/10

x = 18

The obtuse angle is 6x

Measure of the obtuse angle = 6x

Measure of the obtuse angle = 6(18)

Measure of the obtuse angle = 108 degrees

Hence the measure of the obtuse angle is 108 degrees

Ben earns a salary of $120 a week plus $25 for each table he sells at
the furniture store. He wants to earn at least $320 this week.

Please answerr

Answers

Answer:

add 25 each time and count how many times you add it on

Step-by-step explanation:

and that will be your answer

Convert 4 years into hours.

Hint: 1 non-leap year =8760 hours and 1 leap year=8784 hours. One out of every 4 years is a leap year.

Answers

Answer: 4 years =35.064 hour

Step-by-step explanation:

8760 multiplied by 3 is 26,280

add the year hours

26,280+ 8784 = 35,064 hours

Answer:

35064

Step-by-step explanation:

Help please, 20 points! Which inequality represents the values of X that ensure triangle ABC exists?

Answers

Answer:

C.

Step-by-step explanation:

The inequality 1< x <5 represents the X values that ensure triangle ABC exists. The value of x is between 1 and 5.

How to find side of triangle ?

This free triangle calculator computes the edges, angles, area, height, perimeter, median, and other values, as well as a triangle diagram.

When attempting to find the hypotenuse, we use our two known sides as a and b. It makes no difference which leg is a and which is b. Then we solve for c by squaring a and b and taking the square root of both sides.

Pythagoras theorem: If the sides of a right triangle are hypotenuse, perpendicular, and base, then the square of the hypotenuse side is equal to the sum of the squares of the base and perpendicular.

If leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)If leg b is unknown, then. b = √(c² - a²)For hypotenuse c missing, the formula is. c = √(a² + b²)

For given triangle,

AB + BC = AC

2x + 4 + 6x > 18

8x > 18 - 4

4x >7

AC + AB > BC

18 + 2x + 4 >6x

22 > 6x-2x

22 > 4x

22 > 4x >7

Inequality which ensure triangle exists is 22 > 4x > 7.

To learn more about side of triangle refer :

https://brainly.com/question/24279384

#SPJ2

1 Expand each expression
a 4(x+6)

Answers

Answer:

4x+24

Step-by-step explanation:

The correct answer is:

4(x+6)

4x + 24

Describe all numbers x that are at a distance of 4 from the number 9. Express this using absolute value notation.

Answers

Answer:

|x - 9| = 4

Step-by-step explanation:

All numbers x that are at a distance of 4 fro the number 9

Given two numbers a and B, the absolute distance between them is written as :

|a - b| = c

Hence all numbers x at distance of x from 9

|x - 9| = 4

{x : |x - 9| = 4}

Can someone help solve it​

Answers

Answer:

C

Step-by-step explanation:

The answer is C (the third one)

A circle has a radius of 6x9y5cm. What is the area of the circle in square centimeters?
12πx11y7
12πx18y10
36πx11y7
36πx18y10

Answers

Answer:The answer is the second option: 36πx^18y^10

Step-by-step explanation:

To solve this exercise, you must follow the proccedure below:

1. You have that:

- The formula for calculate the area of the circle is: A=πr² ("r" is the radius of the circle).

-The problem says that the circle has a radius of 6x^9y^5 (r=6x^9y^5)

2. When you substitute r=6x^9y^5 into A=πr², you obtain:

A=πr²

A=π(6x^9y^5 cm)²

3. By applying the exponents properties, you have:

A=36πx^18y^10 cm²

Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-
axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C?

Answers

Answer:

A. A = B and B = C

Answer:

A) A=B and B=C

Step-by-step explanation:

find the following square by using the identities
[tex](2xy + 5y) {?}^{2} [/tex]

Answers

Answer:

4x²y² + 20xy² + 25y²

Step-by-step explanation:

(a + b)² =  a² + 2ab + b²

a = 2xy   ; b = 5y

(2xy +5y)² = (2xy)² + 2*(2xy) * (5y)  +(5y)²

                 = 2²x²y² + 2* 2* 5 * x*y*y + 5²*y²

                =4x²y² + 20xy² + 25y²

what does 7 = 4 – 3x

Answers

Answer:

Can I be marked brainliest?

x = -1

Step-by-step explanation:

Switch it around

4 - 3x = 7

-3x + 4 = 7

Subtract 4 from both sides of the equation

-3x + 4-4 = 7-4

Simplify

-3x = 3

Divide both sides of the equation by the same term

-3x/-3 = 3/-3

x = -1

Answer:

-1

Step-by-step explanation:

 7=4-3x     Add like terms

-4  -4

3=-3x       Now divide

/3  /3

x=-1

Please help!!!!
Which point is on the graph of f(x) = 6*?
O A. (1,6)
O B. (6,1)
O C. (0,6)
O D. (0,0)

Answers

C is the answer Because f(x) is a horizontal line on the 6

Answer: A: (1, 6)

Step-by-step explanation:

pls help fast its urgent

Answers

Answer: -8

Step-by-step explanation:

3 - (-8) = 3+8

3+ 8=11

help me with this please​

Answers

Answer:

44 cm²

Step-by-step explanation:

Ar(big rect.) = (4+4)×(4+3)

= 8×7

= 56

Ar. of small rect. = 4×3 = 12

Area of X = 56-12

= 44 cm²

Pls help I have no idea

Answers

Answer:

Step-by-step explanation:

If you connect the chord ends to the center you will see that you form a right triangle where:

[tex]r^2=16^2+\left(\frac{9x-15}{2}\right)^2\ and\ r^2=16^2+\left(\frac{7x+5}{2}\right)^2\\ \\

\text{From these equations we can see}\\ \\ (9x-15)^2=(7x+5)^2\\ \\ 9x-15=7x+5\\ \\ 2x=20\\ \\ x=10[/tex]

28+c=36 what is the value of c

Answers

Answer:

to find the value of c, isolate it.

28 + c = 36

c = 36 - 28

c = 8

now, to check:

28 + 8 = 36 ✓

28+c=36
-28 -28
subtract 28 to get c by itself

c= 36-28

c= 8

hope this helps!

A multiple-choice test with 50 questions has five possible choices for each question. There are 4 marks for each correct answer, -1 mark for each incorrect answer, and 0 marks for each unanswered question. What is the total score of a student with 35 correct answers, 10 incorrect answers and 5 unanswered questions?

Answers

Answer: 130 marks

Step-by-step explanation:

There are 4 marks for every correct answer and there are 4 marks for each correct answer:

= 35 * 4

= 140 correct marks

There are -1 marks for every incorrect answer and there are 10 incorrect answers:

= 10 * -1

= -10 marks

Total score = 140 - 10

= 130 marks

Answer:

130 marks

Step-by-step explanation:

Please help! Will mark brainliest

Answers

Answer:

point A

Step-by-step explanation:

good thing to do.

Answer:

point E

Step-by-step explanation:

The square root of 335 is 18.3

335÷2=167.5

167.5+167.5=335

willie has 4 treasure chests which have a combined weight of 240 pounds. If each chest weighs at least 20 pounds what is the heaviest possible weight of one of the chests?

A. 177
B. 180
C. 217
D. 234

Answers

Answer:

B. 180

Step-by-step explanation:

There is a condition that each chest needs to be at least 20 pounds and we can use that to our advantage. Because we want one of the boxes to be really heavy, we need the other three to be really light. Let's set the heavy box as variable y. Set each of the other three boxes equal to 20. Because the combined weight is 240, then the equation so far is 240 = (20*3)+y.

Now, we can solve for y. 240-60 = 180, so the heaviest box has to be 180 lb.

A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level.
x + (2x + 40) + (3x – 50) = 15,002
The upper level has seats.

Answers

U, M, L are the seats in the upper, middle, and lower levels, respectively.
U+M+L = 15,002

L = 3U-50
M = 2U+40

Substitution:
U + (2U+40) + (3U-50) = 15,002
6U - 10 = 15,002
6U = 15,012
U = 2,502

Answer:

The correct answer is 2,502 seats

Step-by-step explanation:

50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 620 students in the school how many students would you expect in the entire school to prefer Coke?

Answers

Answer:

around 470 students would prefer coke

Step-by-step explanation:

50 - 12 = 38

38 / 50 = 76%

620 (0.76) = 471.2

equação de 1°grau resultado-2x+3=-1+x+2​

Answers

Answer:

2/3

Step-by-step explanation:

-2x+3=-1+x+2

-2x-x+3=-1+2

-3x+3=1

-3x=1-3

-3x=-2

3x=2

x=2/3

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