The population of a certain town is growing at a constant rate. Suppose the population is 1900 initially, and after 4 years the population is 2212. Which of these expresses the rate at which the population is increasing?

Answers

Answer 1

Answer:

The rate of change relates the change in population to the change in time.  The population increased by 2212−1900=312 people over the four-years.  To find the rate of change, divide the change in the number of people by the number of years.

2212−19004=3124

3124/4 =78

So the population increased by 78 people per year.

Because we are told that the population increased, we would expect the slope to be positive.  This positive slope we calculated is therefore reasonable.


Related Questions

Which equation represents a line which is parallel to the line 2y-5x=-162y−5x=−16?

Answers

Answer:

Step-by-step explanation:

For two lines to be parallel to each other, they must have the same slope.

The standard form of expressing equation of a line is y = mx+c

m is the slope.

First let us get the slope of the given line

Given the line 2y-5x = -16

Rerwrite in standard form;

2y-5x = -16

2y = 5x-16

Divide through by 2;

2y/2 = 5x/2 -16/2

y = 5x/2 - 8

The slope of the line is 5/2

Since we are not given options, we can as well say that the equation of the line parallel to this line must have a slope of 5/2 no matter the intercept. Example of such line are;

y = 5/2 x + 2

If the mean of 20 prices is $10.39, and 5 of the items with a mean of $10.99 are sampled, what is the mean of the other 15 prices?

Answers

Answer:

$10.19

Step-by-step explanation:

We are told:

If the mean of 20 prices is $10.39

We have to find the total price

= Mean × number of prices

= 20 × $10.39

= $207.8

5 of the items with a mean of $10.99 are sampled

We would also find the total price

Mean × Number of samples

$10.99 × 5

= $54.95

what is the mean of the other 15 prices?

We find the total prices of the 15 prices

= Total 20 prices - Total of 5 prices

= $207.8 - $54.95

= $152.85

The mean of the other 15 prices

= $152.85/15

= $10.19

Translate to algebra:

Tom has t dollars. He buys 5 packets of gum worth d dollars each. How much money does he have left?

Answers

Answer: t - 5d

Step-by-step explanation: Since you are buying 5 and they cost d dollars you would multiply 5 by d. Then since you have t dollars as a total you subtract 5d from t so you get t -5d.

A chess game comes with two kings, two queens, four rooks, four Bishops, four knights, and sixteen pawns (a total of 32 pieces). A game piece is randomly selected, replaced, then another is chosen. Find the probability of selecting a king or queen, then a pawn.

Answers

Answer:

3/32

Step-by-step explanation:

Plz mark as brainliest!!!

30+3000??????????????????​

Answers

Answer:

3030

Step-by-step explanation:

it is the right answer wen you add it up

Write an equation in slope-intercept form that goes through (12, 4) and (20,8).

Answers

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: [tex]y = \frac{1}{2}x-2[/tex]

Step-by-step explanation:

Given two points are:

[tex](x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)[/tex]

Slope intercept form of line is given as:

[tex]y = mx+b[/tex]

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}[/tex]

Putting the value of slope in slope-intercept form we get

[tex]y = \frac{1}{2}x+b[/tex]

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

[tex]4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2[/tex]

Putting the value of b

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

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: [tex]y = \frac{1}{2}x-2[/tex]

In the table, please select the product (s), by name, that has the higher percentage of being ordered.

Answers

Answer: 1. peaches2. cherries3. oranges4. kiwi's5. bannanas6. apples7. mango'sStep-by-step explanation:

Best Buy has a 15% mail in rebate for any purchase over $1,000.
Chloe purchased a new computer system for $1436.88. How much
will Chloe receive back from Best Buy?

Answers

She will receive $215.53 (rounded)

You multiply $1436.88 by 15% which is .15

j
— + 7 = -12
-2

what is the answer​

Answers

j= 30

30/-2 + 7=12
——————

Answer:

j=38

Step-by-step explanation:

j

— + 7 = -12

-2

move the (7) to the other side by subtracting,

-12-7= 19

j

—  = -19

-2

continue by moving (-2) to the other side as well, do so by multiplying,

-19*-2= 38

therefore, j=38

I believe the answer is B can someone confirm

Answers

Answer:

Looks right, b is right

Step-by-step explanation:

The rest are false

Answer:

yes you are right

Step-by-step explanation:

B is correct

PLEASE HELP FAST AND CORRECT! 50 points!

Answers

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6×X+95=4/5×X

Subtract X from both sides of the equation

Multiply/Combine like terms

95=19/30×X

Multiply by 30/19 and simply

30/19*95=X

Solve for X to get 150

1/6×150=25

4/5×150=120

Answer:

150 cubic centimeters

Step-by-step explanation:

1/6*x+95=4/5*x

Move stuff around

95=1/6+4/5*x

Multiply/Combine like terms  

95=19/30*x

Multiply by 30/19 and then simplify

30/19*95=x

Solve for x

1/6*150=25

4/5*150=120

Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)

Answers

Answer:

A

Step-by-step explanation:

Because when you see X and Y, x multiplied by -6 is equal to y so if you check -84/-6, your correct answer should be 14 also A, hopefully this gave you the explanation you were looking for!!!!!!!!

6 / 3/5 ITS FOR A 20 PIONT

Answers

Answer:

10

Step-by-step explanation:

I'm guessing you meant this, but tell me if I'm wrong and I'll fix it

6 / (3/5)

6 * 5/3

30/3

=10

Hope it helped!

Answer:

thanks

Step-by-step explanation:

A.4
B.3
C.6
D.5........ please help

Answers

Answer:

The answer is

A. 4

Step-by-step explanation:

Mrs. Thompson wants to buy centerpieces to use at a party. It will cost $49 to have the centerpieces delivered plus $0.89 per centerpiece.

Part A
Let c be the number of centerpieces that Mrs. Thompson purchases. Choose the expression that shows the amount of money she will pay altogether for each centerpiece.
49c + 0.89
0.89 + c + 49
c(0.89 + 49)
49 + 0.89c
Part B
Evaluate the expression to find out how much Mrs. Thompson will pay if she orders 400 centerpieces.
Enter your answer in the box.

Answers

Answer:

a. 49 + 0.89c

b. $400

Step-by-step explanation:

Given

Delivery = $49

Cost per Centrepiece = $0.89

Solving (a): Expression that represents the equation.

From the question, we have that the number of centrepiece is represented by c

The expression can be gotten by the following formula.

Cost of Delivery + Cost per centrepiece * Number of centrepieces

This gives

49 + 0.89 * c

49 + 0.89c

Hence, the expression that represents the scenario is 49 + 0.89c

Solving (b): Payment for 400 centrepieces

To solve this, we simply substitute 400 for c in the expression in (a)

This gives:

Payment = 49 + 0.89 * 400

Payment = 49 + 356

Payment = 405

Hence, Mrs. Thompson will pay $405 for 400 centerpieces

Hello please this is kinda urgent so if you could answer really fast before 11:50 that would be great :-p-This is a school lesson on zearn no explenation needed just put the answer using /

Answers

Answer:

1  2/6 - 3/6

Step-by-step explanation:

This should be right if you are keeping the same amount but want to just change up the numbers!

Factor 12x^3-19x^2-13x-6 given that x-2 is the factor

Answers

Answer:

x-2(6x^2-4.4x-6.5-3) I believe.

What is the answer to m / π = 7.3

Answers

Answer:

m=7.3π=22.93

Step-by-step explanation:

m=7.3π=22.93

(rounded to 2 decimal places)

Explanation:

Multiply both sides by π

mπ×π=7.3×π

m=7.3×π

m=7.3×3.14159....

m=22.9336....

For π, you can use your calculator value as I have done here, or you can use 3.14or3.142or227

You will get slightly different answers each time.

what is the answer to this
u(2u+5)-4(U+3)​

Answers

Answer:

its 2u^2-4u+5u-12

Step-by-step explanation:

what is the value of x (M5/6) (M1/6)square root of 7=mxsquare

Answers

Answer:

it turns out google has the answer

Step-by-step explanation:

can i get brainlyest

Which of these numbers is greater than 2.25 but less than 1? Is it 1 or 1.5 or 0 or 2.5

Answers

Answer:

the answer is 1.5 because converting them into their fractional form indeed informs u that 1.5 is thus greater than 2.25 BT lesser than 1

what would be the value of m?

Answers

Answer:

126°

Step-by-step explanation:

First you need to find the 3rd inside angle.

72+54+x=180

126+x=180

x=54

Once you have the 3rd inner angle, you can take 180 and subtract it from it so you would have 180-54 which is 126

Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?

Answers

Answer

answers is 267 bits oof yard

Step-by-step explanation:

Answer:

146 divided into 18 would be 8.11111111111.. and so on.

Step-by-step explanation:

Hope that helps :)

Leslye wants to purchase a ticket to the dance. She will also purchase snack packs for herself and her friends. She is spending $3 for the ticket and knows that the snack packs will cost $5. Write
an inequality to show how many snack packs Leslye can purchase if she plans on spending less than $30.

Answers

Answer:

5 snack packs and 1 ticket.

Step-by-step explanation:

Do YoU kNoW dA wAe?

d Question 5 5. Given A is between Y and Z and YA = 14x, AZ = 10x and YZ = 12x + 48, find AZ

Answers

Answer:

Step-by-step explanation:

If A is in between Y and Z, then;

YA+AZ = YZ

Given.

YA = 14x,

AZ = 10x and

YZ = 12x + 48

Substitute into the formula

14x+10x = 12x+48

Find x;

24x = 12x+48

24x-12x = 48

12x = 48

x = 48/12

x = 4

Get AZ

AZ = 10x

AZ =10(4)

AZ = 40

Can somone help me on this please idk it

Answers

Hdhdhdhdhrhrbbrjfjfhf

ANSWER ASAP PLEASE I WILL GIVE THE BRAINLIEST THINGY!!

Sparky ate 2 1/2 bones in the morning and 1 2/3 bones in the afternoon. How many bones did Sparky eat all together?

Answers

Answer:

4 1/3

Step-by-step explanation:

2 + 1=3. 1/2+2/3 = 1 1/3. 3 + 1 1/3 = 4 1/3

Hope this helps! Give Brainliest if it did!

can u pls help me with this question ​

Answers

Answer:

The correct answer is D, 6/8.

Step-by-step explanation:

For ratios or fractions an equivalent fraction has the same value but just more pieces. Think of it like a pizza. But to make sure they are equivalent you have to multiply or divide them by a fraction equal to 1. In other words the numerator and the denominator have to be the same number. So, when we multiply 3/4 by 2/2 you get 6/8 because 3 x 2 = 6 (numerators) and 4 x 2 = 8 (denominators).

If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest! :)

4.497 < 4.387
Is this true?

Answers

Answer:

Yes

Step-by-step explanation:

Byron is 2 years younger than Cindy. Eight
years ago, the sum of their ages was 14.
How old is Byron now?​

Answers

Step-by-step explanation:

let age of Byron be b yr old and Cindy be c yr old.

c = b + 2 --(1)

b - 8 + c - 8 = 14

b + c = 30 --(2)

sub (1) into (2):

2b = 28

b = 14

therefore Byron is 14 yr old now.

Topic: simultaneous eqns

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

10

Step-by-step explanation:

Byron is 2 yrs younger than Cindy. 8 years ago the sum of their ages was 14.

Byron is 2 years at that time. Definitely, Cindy is 12 years old so the sum of their ages was 14. Let us just add 8 years to Byron's age at that time so 2 + 8 = 10

P.S: This just based on my understanding of the problem.

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