X=8
Set up proportions would give you: 10/3x+1 = 22/7x-1
With that in mind, cross multiply, which would give you: 10(7x-1) = 22(3x+1).
Turns into: 70x -10 = 66x+22. Then just solve for x
The formula for perimeter is P = 2length + 2width (P = 2L + 2W)
You know that the length is 4 more yards then twice the width. In equation form this would be:
length = 4 + 2w
Plug what you know into the perimeter formula:
26 = 2(4 + 2w) + 2w
First you must distribute the 2 to the numbers inside the parentheses, which would be 4 and 2w...
26 = (2 * 4) + (2 * 2w) + 2w
26 = 8 + 4w + 2w
Now you must combine like terms. This means that first numbers with the same variables (w) must be combined...
26 = 8 + 4w + 2w
4w + 2w = 6w
26 = 8 + 6w
Now bring 8 to the left side by subtracting 8 to both sides (what you do on one side you must do to the other). Since 8 is being added on the right side, subtraction (the opposite of addition) will cancel it out (make it zero) from the right side and bring it over to the left side.
26 - 8 = 8 - 8 + 6w
18 = 0 + 6w
18 = 6w
To isolate w divide 6 to both sides
18 / 6 = 6w / 6
w = 3
We know that the width is 3 ft
Now you must find the length. To do this plug 3 where you see w in the equation:
length = 4 + 2w
l = 4 + 2(3)
l = 4 + 6
l = 10
We know that length is 10 ft
Letter B. is the correct answer
Hope this helped!
~Just a girl in love with Shawn Mendes
I think you would just have to find the square roots
Answer:
Composite
Step-by-step explanation:
A composite number is a number with 2 or more factors while a prime number is a number with only 2 factors.
Answer:
The domains are;
0 < x < 3 for f(x) = 15
3 ≤ x ≤ 7 for f(x) = 22
7 < x ≤ 15 for f(x) = 30
Step-by-step explanation:
The duration the amusement park is opened, t = 15 hours
The number of days the amusement is opened = 7 days a week
The prices for the admission are;
x < 3 hours = $15
3 ≤ x ≤ 7 hours = $22
x > 7 hours = $30
The functions are;
f(x) = 15 when x < 3; The domain = 0 < x < 3
f(x) = 22 when 3 ≤ x ≤ 7; The domain = 3 ≤ x ≤ 7
f(x) = 30 when x > 7; The domain = 7 < x ≤ 15.
