Sam is planning to fence his back yard. every side of the yard except for the side along the house is to be fenced, and fencing costs $3/yd and can only be bought in whole yards. (note that m znpm-28, and the side of his yard opposite the house measures 35 yd) how much will the fencing cost? explain how you found your answer.

The cost of the fencing is $273

Step-by-step explanation:

* Lets explain how to solve the problem

- Sam is planning to fence his back yard

- Every side of the yard except for the side along the house is to

 be fenced

- The fencing costs $3/yd and can only be bought in whole yards

- The side of his yard opposite the house measures 35 yd

- The other two sides of his yard are 28 yd

* Lets solve the problem

∵ The length of the yard is the sum of the sides whose to be fenced

∴ The length of the yard = 28 + 35 + 28 = 91 yd

∵ The cost of the fencing is $3 per yard

∴ The cost = 91 × 3 = 273

∴ The cost of the fencing is $273

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 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.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

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

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .