The length of the yard is 25ft.
In order to find this we first need to set up variables for the length and the width. Since we don't know anything about the width, we'll set it as x. Then, we know the length is equal to ten more than three times the width. Since the width is x, we can write the length as 3x + 10. Now we can use the formula for the perimeter of a rectangle to solve for x.
2l + 2w = P
2(3x + 10) + 2(x) = 60
6x + 20 + 2x = 60
8x + 20 = 60
8x = 40
x = 5
Now that we have a value for x, we can plug into the length equation and find the length.
3x + 10
3(5) + 10
15 + 10
25
Given

We have to set the restraint

because a square root is non-negative, and thus it can't equal a negative number. With this in mind, we can square both sides:

The solutions to this equation are 7 and -2. Recalling that we can only accept solutions greater than or equal to -1, 7 is a feasible solution, while -2 is extraneous.
Similarly, we have

So, we have to impose

Squaring both sides, we have

The solutions to this equation are 5 and 10. Since we only accept solutions greater than or equal to 7, 10 is a feasible solution, while 5 is extraneous.
Answer:
Step-by-step explanation:
40/32 ?=? (40 + 12.5) / (32 + 10)
1.25 ?=? 52.5 / 42
1.25 = 1.25
similar via SAS
Equation y = 5x - 27.95
Plug in 34 for x
5(34) - 27.95
170 - 27.95 = $142.05
Answer:1st number: 5/6, 2nd number: 3 2/3
5
6
÷
11
3
is
5
22
.
Steps for dividing fractions
Find the reciprocal of the divisor
Reciprocal of
11
3
:
3
11
Now, multiply it with the dividend
So,
5
6
÷
11
3
=
5
6
×
3
11
=
5 × 3
6 × 11
=
15
66
After reducing the fraction, the answer is
5
22
Mark brainlest