Pisces is replacing paving stones for her inground pool. Her pool is 10m by 5m and is surrounded by a 1 1/2 border of paving stone. If each paving stone was 25 cm by 40 cm, in theory, how many paving stones will she need?

The number of paving stones she needs is 540 paving stone

Step-by-step explanation:

The given dimensions of Pisces' inground pool = 10 m by 5 m

The thickness of the border surrounding the pool = 1 1/2

The dimensions of each paving stone = 25 cm by 40 cm = 0.25 m by 0.4 m

The length dimension of the pool and border = 10 + 2 × 1 1/2 = 13 m

The width dimension of the pool = 5 + 2 × 1 1/2 = 8 m

The total area of the paving stone, = Area of pool + border - Area of pool

∴ = 13 m × 8 m - 10 m × 5 m = 54 m²

The total area of the paving stone = 54 m²

The area of each paving stone, = 0.25 m × 0.4 m = 0.1 m²/paving stone

The number of paving stones she needs, n = (The total area of the paving stone)/(The area of each paving stone)

∴ n = 54 m²/(0.1 m²/paving stone) = 540 paving stone.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

unless you made a typo, the answers are both a and c.

step-by-step explanation:

1.5/3 is .5 whereas 3/9 is .3333333 not proportional

22/33 is .66666 and 4/6 is also .66666 proportional

2/4 is .5 whereas 142/213 is .66666 not proportional

14/7 is 2 and 7/3.5 is also 2 proportional

you could've also checked it by doing this simple division:

if the larger fraction divides with the smaller fraction to equal 1, it is proportional. so let me show you what i mean:

when i divide 22/33 by 4/6 i get 1, so we know it is proportional, and it is the same with 14/7 and 7/3.5. now if i divide 3/9 by 1.5/3 i get .66666 so therefore we know it is not proportional.

there are many ways to do this so i wanted to show you some possible ways.