A town's population is 38,200. About 100 people move out of the town each month. Each month, 150
people on average move into town. A nearby town has a population of 40,400. It has no one moving in
and an average of 150 people moving away every month. In about how many months will the
populations of the towns be equal? Write an equation to model the situation. Then solve the equation
and answer the question.

Answer:

4

explanation:

I took the test

The constant of proportionality  is 4.

The constant value of the ratio between two proportional quantities is the constant of proportionality. When either their ratio or their product gives a constant, two varying quantities are said to be in a relation of proportionality. The type of proportion between the two given quantities determines the value of the proportionality constant: Variation in both a direct and inverse manner.

given relation

x 1  2  3  4

y 4 8 12 16

the equation is

y = 4x

1 * 4 = 4

2 * 4 = 8

3 * 4 = 12

and so on...

Hence the constant is 4.

Learn ore about constant of proportionality;

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Answer:

8 - i

General Formulas and Concepts:

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

(3 - 4i) + (5 + 3i)

Step 2: Simplify

Answer:

I think it would have to be the last one please tell me if i am right

Step-by-step explanation:

Answer:

It's the graph in the middle, just did it on edge

Step-by-step explanation:

Answer:

D is a right angle

B is an accute angle

A and C are obtuse

Answer:

d. $34.94

Step-by-step explanation:

the monthly finance charge = (24 * 145.59) /100 = $34.94

Answer:

−5(−6y−3w+2)

=(−5)(−6y+−3w+2)

=(−5)(−6y)+(−5)(−3w)+(−5)(2)

=30y+15w−10

=15w+30y−10

Answer:

The third Number line = C

P = - 1 ; Q = 7

Step-by-step explanation:

P = - 1 ; as the tick marks are 1 unit apart ; hence the point P is located either side of - 2 and 0 ; therefore, the point Q is either :

(-2 + 1) = - 1 or (0 - 1) = - 1

Q = 7 ; Q is position on between 6 and 8 ; therefore, the number which falls in the middle of both numbers is 7.

Answer:

C. the third one

Step-by-step explanation:

have nice day

Answer:-35

Step-by-step explanation: 7x5 = 35, but since the 5 is a negative it’s -35

Answer:

-35

Step-by-step explanation:

whenever multiplying positive and negative integers, if one of the factors are negative, then the answer will be negative. if both are negative, the answer becomes a positive, and if both are positive, the answers stays positive.

in this case 7 is positive and 5 is negative so  your anwers is -35

hope i helped!

:)

Answer:

12(7 - 3)

Step-by-step explanation:

All the other do not equal anything.

Answer:

(-3,-8)

Step-by-step explanation:

I would explain but that would take too much time.

Answer:

3-8

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

A(-2 , 1)   ; B(2 , 4)

[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\[/tex]

              [tex]= \sqrt{(2-[-2])^{2}+(4-1)^{2}}\\\\= \sqrt{(2+2)^{2}+(4-1)^{2}}\\\\= \sqrt{(4)^{2}+(3)^{2}}\\\\= \sqrt{16+9}\\\\= \sqrt{25}\\\\= \sqrt{5*5}\\\\= 5[/tex]

Answer:

B. 2

Step-by-step explanation:

Step 1:

2x + 2          Equation

Step 2:

2 ( 0 ) + 2        Input x value

Step 3:

0 + 2        Multiply

Answer:

B. 2

Hope This Helps :)

Answer:

B

Step-by-step explanation:

Answer:

18/7

Step-by-step explanation:

Convert the mixed number 247 2 4 7 into an improper fraction first by multiplying the denominator (7) by the whole number part (2) and add the numerator (4) to get the new numerator. Place the new numerator (18) over the old denominator (7) .

Answer:

-5x³ + 10x² = -5x²(x - 2)

Step-by-step explanation:

Answer:

-5x³ + 10x² = -5x²(x - 2)

Step-by-step explanation:

this is right i fact checked it

happy trails

Answer:

Original: -2g + 1.5 = 17.3

Solving:

-2g = 15.8

-g = 7.9

Answer:

g = -7.9

And don`t worry I only know how to do this because I remember it from a few years ago. I`m not even caught up in my own math class ;--;

Hope that helps

Answer:

i think its a

Step-by-step explanation:

Given:

The function on the Input output table.

To find:

The range of the given function.

Solution:

We know that, range is the set of output values.

From the given table it is clear that, hours of training is the input variable and pay per month is the output value.

So, range of the given function is the set of pay per month.

Range = {1100, 1200, 1300, 1400, 1500, 1600, 1700}

Therefore, the correct option is A.

Answer:

15

Step-by-step explanation:

3a+b=54

3a+9=54

3a=45

a=15

Answer:

y=2

Step-by-step explanation:

add the -5y over and you get 14y=28

then divide by 14 on both sides and you get y=2

Answer

by 20%????

Step-by-step explanation:

Final Answer: 34 months

Steps/Reasons/Explanation:

Hey there! Each year is 12 months. We can see that 2 years is already given. 2 years × 12 months = 24 months.

For [tex]\frac{5}{6}[/tex] we will multiply it by two to find the remaining amount of months. [tex]\frac{5}{6}[/tex] × [tex]2[/tex] = [tex]\frac{10}{12}[/tex]. This means that there is an extra 10 months of a year remaining.

Now we have to add them up. 24 months + 10 months = 34 months.

~I hope I helped you :)~

Answer:

I am pretty sure the answer is 11 minutes and the cost was $2.09

Step-by-step explanation:

Ihope this helps you:)

Step-by-step explanation:

Ok so we start with $15 now the remaining amount is $12.91, so let's substract

15.00 - 12.91 = 2.09

Alright now I must work with this number, since every minute used on the call is 19 cents, i must divide 2.09 to see how many 19 cents fit into this number

2.09 / 0.19 = 11

So she lasted talking or in this call 11 minutes....

I hope this helps!

Answer:

The answer is "70  and 2200".

Step-by-step explanation:

Please find the complete question in the attached file.

The total payment  = y

The number of copies to be sold = x

[tex]\to y = 70x + 2200[/tex]

In part (a):

Change of pay = discrepancies between (x+1) sale and (x) sale of copies for every copy sold

[tex]=[70(x+1) + 2200] - [70x + 2200] \\\\= 70x + 70 + 2200 - 70x - 2200\\\\= 70\\\\[/tex]

In part (b) :

[tex]\to y = 70x+ 2200[/tex]

when [tex]x = 0[/tex]

[tex]\to y = 70(0) + 2200\\\\[/tex]

       [tex]=0+2200\\\\=2200[/tex]

Answer: Your answer would be -8

Step-by-step explanation:

You have to divide each side by factors that doesn't contain the variable.

Hope this helped you! <3

Answer:

awnser my question

Step-by-step explanation:

nkkeneneii3

Answer:

1/2

Step-by-step explanation:

Answer:

The volume of the right circular cone is approximately 17.9 m³

Step-by-step explanation:

The given parameters of the cone are;

Height = 17 m

Circumference of the base, C = 6.3 m

The circumference, C, of a circle is given by the formula, C = 2×π×r

Therefore, we have;

C = 6.3 m = 2×π×r

r = 6.3/(2 × π) ≈ 1.002676

The volume, V, of a cone is given by the following formula;

[tex]V = \dfrac{1}{3} \times \pi \times r^2 \times h[/tex]

Where;

r = The radius of the base ≈ 1.002676

h = The height of the cone = 17 m

[tex]V = \dfrac{1}{3} \times \pi \times 1.002676^2 \times 17[/tex]

V = 1/3 × π × (1.002676 m)² × 17 m ≈ 17.89776 m³ which by rounding up to one decimal place is 17.9 m³

The volume of the right circular cone, V ≈ 17.9 m³.