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3 years ago

Solve the equation using the Properties of Equality.

Mathematics

1 answer:

Elanso [62]3 years ago

6 0

Answer:

m = 11/36

Step-by-step explanation:

6/7 m - 1/7 = 5/ 42

Multiply each side by 42 to clear the fractions

42(6/7 m - 1/7) = 5/ 42 *42

36m - 6 = 5

Add 6 to each side

36m -6+6 = 5+6

36m = 11

Divide each side by 36

36m/36 = 11/36

m= 11/36

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At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equatio

andriy [413]

The correct format of the question is

At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. $P = 400 ( 1.2 )^ t$ Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?

(A) 291

(B) 691

(D) 1440

Answer:

The increase in the population at the end of 2009 is 291 people

Step-by-step explanation:

We are given the equation as $P = 400 ( 1.2 )^ t$

where

P = No of People

t= No of Years

it is given that in the year 2006 the population is 400

this will only happen when we take t= 0

so for

Year value of t

2006- t = 0

2007- t = 1

2008- t = 2

2009 t = 3

No of people in 2009 will be

$P = 400(1.2)^3$

= 400*1.728

P = 691.2

Since the equation represents no of people so it can't be in decimals, Therefore the population will be 691

Increase = P(2009) - P(2006)

= 691 - 400

= 291

The increase in the population at the end of 2009 is 291 people.

4 0

3 years ago

Oh lord help :,) please and thank you

ziro4ka [17]

Answer:

The answer is 19.10 $

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

yarga [219]

Answer:

$(x-5)^2+(y-2)^2=9\\$

Step-by-step explanation:

So, you basically want the equation of the circle.

Given:

Center(C): $C(5, 2)$

$r=3$

The equation of circle is:

$(x-h)^2+(y-k)^2=r^2\\$

Where, $(h, k)$ represents the center point and $r$ is the radius of the circle.

Plotting the values in the equation:

$(x-5)^2+(y-2)^2=3^2\\$

$(x-5)^2+(y-2)^2=9\\$

This is the equation of the circle of center (5, 2) and radius 3.

6 0

3 years ago

Line L is graphed in the XY-plane above. If an equation for line L is y=mx+b, which of the following is true?

madam [21]

<span>A) m > 0 and b > 0
that's what i think it is. If its not im sorry.</span>

8 0

3 years ago

EMERGENCY HELP! A steady stream of water flows into a partially-filled rectangular tank. After 6 minutes, there are 87 gallons o

german

Answer:

$y=9x+33$

33 gallons of water to begin with.

Step-by-step explanation:

So we essentially are given two coordinates: (6,87) and (21,222). To find an equation, we simply need to find the slope and y-intercept. We know it's a linear equation because it's a steady stream, meaning a constant slope.

The slope is:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{222-87}{21-6}=135/15=9$

So, the rate at which the stream flows is 9 gallons per minute.

Now, let's find the initial amount of water. To do this, we can use point-slope form. Pick either of the two points. I'm going to use (6,87).

$y-y_1=m(x-x_1)\\y-87=9(x-6)\\y-87=19-54\\y=9x+33$

So, there were 33 gallons of water in the tank to begin with.

3 0

3 years ago