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ioda
2 years ago
9

According to the 2000 Census the population of Canton was 7,720. The population of Holly Springs was 3,200. Canton's population

increases at a rate of 80 people a year and Holly Spring's population increases at 120 people a year. In how many years will the populations be equal?
Mathematics
2 answers:
antoniya [11.8K]2 years ago
7 0
It will take 113 years. I did this the long way by multiplying each rate by the same number, and I eventually got 113.
wariber [46]2 years ago
4 0

Answer:

It will take 113 years.

Step-by-step explanation:

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
hodyreva [135]

Answer:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.

Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is

9/3 = 27/9 = 3

Therefore, the relationship is a direct variation and the function to model it is

y = 3x

Step-by-step explanation:

3 0
2 years ago
List a pair of vertical angles, then state the relationship between vertical angles ​
strojnjashka [21]

Answer:

6, 8

7, 9

1, 4

they are congruent (same angle measure)

5 0
3 years ago
Read 2 more answers
Find the midpoint of the segment with the following endpoints.<br> (4,2) and (7,6)
Tema [17]

Answer:

The answer is

<h2>( \frac{11}{2} \: , \: 4)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(4,2) and (7,6)

The midpoint is

M = ( \frac{4 + 7}{2}   \: , \:  \frac{2 + 6}{2} ) \\  = ( \frac{11}{2} \: , \:  \frac{8}{2} )

We have the final answer as

( \frac{11}{2} \: , \: 4)

Hope this helps you

4 0
2 years ago
What is the value of x <br> Enter your answer, as a decimal in the box
Maru [420]

Answer:

the answer is 8.334

Step-by-step explanation:

3 0
3 years ago
the initial vertical velocity of a rocket shot straight up is 42 meters per second. How long does it take for the rocket to retu
Snowcat [4.5K]
It takes 4.3 seconds for the rocket to return to earth.

The equation is:
0=-9.8t^2+v_0t+h_0
where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height.  We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42.  This gives us:

0=-9.8t^2+42t

We will use the quadratic formula to solve this.  The quadratic formula is:
x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Plugging in our information we have:
t=\frac{-42\pm \sqrt{42^2-4(-9.8)(0)}}{2(-9.8)}&#10;\\&#10;\\=\frac{-42\pm \sqrt{1764-0}}{-19.6}&#10;\\&#10;\\=\frac{-42\pm \sqrt{1764}}{-19.6}&#10;\\&#10;\\=\frac{-42\pm 42}{-19.6}=\frac{-42-42}{-19.6} \text{ or } \frac{-42+42}{-19.6}&#10;\\&#10;\\=\frac{-84}{-19.6}\text{ or }\frac{0}{-19.6}&#10;\\&#10;\\=4.3\text{ or }0

x=0 is when the rocket is launched; x=4.3 is when the rocket lands.
8 0
3 years ago
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