Can you simplify 15/18

The solution is:

small square side = 9 inches

large square side = 9 + 3 = 12 inches.

What is area ?

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area of a square (A) is the product of its length (l) and width (l).

i.e. A= l× l

Let the smaller square have a side length of s

The the larger square have a side length of s + 3

Total area of the two squares is 225

Formula

s^2 + (s + 3)^2 = 225                  

Expand

we get,

Solution

s^2 + s^2 + 6s + 9 = 225

2s^2 + 6s + 9 = 225                  

Subtract 225 from both sides

2s^2 + 6s - 216 = 0                    

This factors.

( x  -   9)(x + 12) = 0

x - 9 =0

x + 12 = 0

x = 9 is the only valid root for this question.

Hence, The solution is:

small square side = 9 inches

large square side = 9 + 3 = 12 inches.

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complete question:

The length of each side of a square is 3 in more than the length of each side of a smaller square. The sum of the areas

the squares is 225 in. Find the lengths of the sides of the two squares.

A side of the small square is in.; a side of the big square is in.

Answer:

Option B and C are correct.

Step-by-step explanation:

Find the expanded form of 840.02.

Any decimal number can be expanded in the form of power of 10.

then;

In 840.02

the first 8 is

8 hundreds i.e, 800 ,

4 is 4 tens i.,e 40 ,  

0 ones ,

0 one-tenths and

2 hundredths,

we can write this as;

or

or

Answer:

8 × 100 + 4 × 10 + 2 × 1/100

8 × 100 + 4 × 10 + 0 × 1 + 0 × 1/10 + 2 × 1/100

Step-by-step explanation:

8 × 100 + 4 × 10 + 2 × 1/10 =800+40+2/10 = 840+2/10 = 840.2

8 × 100 + 4 × 10 + 2 × 1/100 = 800+40+2/100 = 840+2/100 = 840.02

8 × 100 + 4 × 10 + 0 × 1 + 0 × 1/10 + 2 × 1/100 =800+40+2/100= 840.02

8 × 100 + 4 × 10 + 4 × 0 + 0 × 11 + 2 × 1/10=800+40+2/10= 840+2/10 = 840.2

Answer:

The expression that represents the price as a function of months is "gas(x) = 1.99*(1.06)^x" and after 14 months the price will be "gas(14) = 4.4992"

Step-by-step explanation:

Since it grows at a rate of 6% every month, then it starts as:

gas(0) = 1.99

On the first month:

gas(1) = gas(0)*(1.06)

On the second month:

gas(2) = gas(1)*1.06 = gas(0)*(1.06)*1.06 = gas(0)*(1.06)²

And so on. So the price growth can be modelled by the following expression:

gas(x) = gas(0)*(1.06)^x

Where x is the number of the month.

After 14 months the price will be:

gas(14) = 1.99*(1.06)^14 = 4.4992

Answer: 6x-1

Step-by-step explanation: