The value of x is 3. The correct option is the third option- 3
The width of the backyard is 9 yards. The correct option is the first option- 9 yards
<h3>Perimeter of a Rectangle </h3>
From the question, we are to determine the value of x
13.
Perimeter of a rectangle = 2 (l + w)
Where l is the length
and w is the width
From the given information,
Perimeter = 24 cm
In the given diagram,
l = 3x cm
w = 3 cm
Thus,
24 = 2(3x + 3)
24 = 6x + 6
6x = 24 - 6
6x = 18
x = 18/6
x = 3
Hence, the value of x is 3. The correct option is the third option- 3
14.
From the given information,
The width of the yard is 3 less than 4 times the length
That is,
w = 4l - 3 --------- (1)
Also,
Perimeter = 24 yards
∴ 24 = 2(l + w) ---------- (2)
Put equation (1) into (2)
24 = 2(l + w)
24 = 2(l + 4l - 3)
24 = 2(5l - 3)
24 = 10l - 6
10l = 24 + 6
10l = 30
l = 30/10
l = 3 yards
Substitute the value of l into equation (1) to get w
w = 4l - 3
w = 4(3) - 3
w = 12 - 3
w = 9 yards
Hence, the width of the backyard is 9 yards. The correct option is the first option- 9 yards
Learn more on Perimeter of a rectangle here: brainly.com/question/24571594
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<span>Let the number of hours she works be x
2x+15 15 more than twice the
3x-15 15 less than 3 times the hours she worked
2x+15=3x-15
3x-2x= 30
x= 30
the number of hours she worked is 30
</span>
Tan(x) = sin(x) / cos(x)
Csc(x) = 1/ sin(x)
You'll see this better if I use latex.

Now just cancel numerators with denominations. They all disappear. The cancelations leave 1 on both the numerator and denominator.
Answer:
$1200 interest
Step-by-step explanation:
$30,000 divided by 100 = 300 , 300 multipled by 4 = 1200 , thats how to find what 4% would be
Total cost = student cost + adult cost
t = 25s + 3(s+3)
t=28s+9