Okay, to find the answer, you would divide the first number by the second number.
38/76=0.5
To find the decimal as a fraction, move the decimal two spots to the right.
0.5=50%
I hope this helped!
I'm assuming you're looking for the dimensions of the plot. I'm going with that. ;) If the length of the plot is 5 meters longer than the width, then L = w + 5. The area for a rectangle is L*w, and we have an area value of 20,000 so our formula is 20000=(w+5)(w) and
. We will bring the 20,000 over by subtraction and set the polynomial equal to 0 to factor and solve for w.
Solving for w we get values of w=138.9 and -143.9. Of course the 2 things in math that will never EVER be negative are time and distance/length, so -143.9 is out. Our width is 138.9 and the length is 138.9 + 5 so the length is 143.9. And there you go! Hope that's what you needed!
Answer:
(1, 5)
Step-by-step explanation:
The solution to the system of equations is the point of intersection of the two lines. From inspection of the graph, the point of intersection is at (1, 5).
<u>Proof</u>
The solution to a system of equations is the point at which the two lines meet.
⇒ g(x) = f(x)
⇒ 3x + 2 = |x - 4| + 2
⇒ 3x = |x - 4|
⇒ 3x = x - 4 and 3x = -(x - 4)
⇒ 3x = x - 4
⇒ 2x = -4
⇒ x = -2
Inputting x = -2 into the 2 equations:
⇒ g(-2) = 3 · -2 + 2 = -4
⇒ f(-2) = |-2 - 4| + 2 = 8
Therefore, as the y-values are different, x = -2 is NOT a solution
⇒ 3x = -(x - 4)
⇒ 3x = 4 - x
⇒ 4x = 4
⇒ x = 1
Inputting x = 1 into the 2 equations:
⇒ g(1) = 3 · 1 + 2 = 5
⇒ f(1) = |1 - 4| + 2 = 5
Therefore, as the y-values are the same, x = 1 IS a solution
and the solution is (1, 5)
Answer:
5/8
Step-by-step explanation:
A. 2/3 × 4/5 × m = 1/3 B. 4/5 × 2/3 × m = 1/3
8/15 × m = 1/3 8/ 15 × m = 1/3
m = 1/3 ÷ 8/15 m = 1/3 ÷ 8/15
m = 1/3 ×15/8 m = 1/3 × 15/8
m = 5/8 m = 5/8
C. 2/3 × 4/5 = 1/3 ÷ m
8/15 = 1/3 × 1/m
8/15 = 1/3m cross multiply
(3m) × (8) = 15
24m = 15
m = 15/24
m= 5/8
