What is the solution to the system of equations?

After a 15% increase, a town has 115 people. What was the population before the increase?

Arte-miy333 [17]

Answer:

100 people

Step-by-step explanation:

Population Of People=115Percentagencrease=15%

The New Population corresponds to 115%

(That is 100+15)

We want to find the population that corresponds to 100% that is the original population.

Therefore Original Population;

 $\frac{100}{115}\times {115}{}$ 

 $100 \: people$ 

7 0

3 years ago

The sales tax rate is 5%. If Bernie buys a new basketball at $34, what will be the total cost including tax?

julsineya [31]

Answer:

$35.70

Step-by-step explanation:

5% would be 0.05 as a decimal.

multiply 34(0.05):

34(0.05)=1.7

This means that the sales tax would be $1.70.

Next, add $1.70+$34 to find the total cost

$1.70+$34=$35.70

This means that the total cost is $35.70

4 0

3 years ago

4 1/4 divided by 1 1/2

MakcuM [25]

Hello, Briana so when dividing fractions, its best to put them in decimal form so that you can divide or multiply better. Now having this in mind, 4.25 divided by 1.5 becomes the new equation and using simple math on a calculator, we can conclude that the answer to this question is 1.7 in decimal form or 1 and 7 over 10 in fraction form. Hope this helped, if you have any questions, please ask!

3 0

3 years ago

Your baseball team has won 6 game and lost 4 game.If the the team dosen;t lose anymore games how many games must the team win to

ZanzabumX [31]

Answer: 2 more games

Step-by-step explanation:

From the question, we are informed that a baseball team has won 6 game and lost 4 game.

We are further told that the team dosent lose anymore games and want to know the number of games they must win to have a ratio of 2:1.

Since they have lost 4 games and need a ratio of 2:1. This means we have to multiply the game lost by 2. This will be: = 4 × 2 = 8 games.

Since they've won 6 games already, they'll need to win = 8 - 6 = 2 games more.

4 0

3 years ago

Help meeeeeeeee pleaseeeee rn rnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Amiraneli [1.4K]

A rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.

In the given question we have to find the maximum area of the rectangular area.

Liana has 3200 yards of fencing to enclose a rectangle.

So we know that the perimeter of rectangle is

P= 2(l+b)

Let length of the rectangle is x yards and width is y yards.

So the equation should be

2(x+y) = 3200

Divide by 2 on both side we get

x+y = 1600................(1)

As we know the area of rectangle is

A = xy

From the equation the value of y is 1600-x.

Now putting the value of y

A = x(1600-x)

A = 1600x-x^2

On differentiating

dA/dx = 1600-2x

Putting dA/dx=0

1600-2x=0

Subtract 1600 on both side we get

-2x= -1600

Divide by -2 on both side we get

x = 800 yards

Now putting the value of x in the y=1600-x

y=1600-800

y=800 yards

So the maximum area is

A= 800*800

A= 640,000 square yards

Hence, a rectangle that maximize the enclosed area has a length 800 yards and width is 800 yards. The maximum area is 640,000 square yards.

To learn more about perimeter and area of rectangle link is here

brainly.com/question/16572231

#SPJ1

4 0

1 year ago