Answer:Smaller value is 4 yards.
The larger value is 6 yards.
Step-by-step explanation:
Let L represent the length or larger value of the rectangular plot.
Let W represent the width or smaller value of the rectangular plot.
The area of the rectangular field is expressed as
LW = 24 - - - - - - - - - - 1
The formula for determining the perimeter of the rectangular fence is expressed as
2(L + W) = 20
L + W = 20/2 = 10
Substituting L = 10 - W into equation 1, it becomes
W(10 - W) = 24
10W - W² = 24
W² - 10W + 24 = 0
W² - 6W - 4W + 24 = 0
W(W - 6) - 4(W - 6) = 0
W - 4 = 0 or W - 6 = 0
W = 4 or W = 6
Substituting W = 4 and W = 6 into
L = 10 - W, it becomes
L = 10 - 4 or L = 10 - 6
L = 6 or L = 4
This is a tricky question, because it's in word form. To start us off, we have to convert it into numbers. "Times" means to multiply, and "the result of" means to put this in parentheses. "A number" is a variable--let's use x for that--and "subtracting 3 from a number" is a number (AKA x) minus 3. "Increased by" means plus.
So what do we have? 8(x-3)=x+25. Now, let's solve. First, use the distributive property. 8(x-3)=8[x+(-3)]=(8*x)+[8*(-3)]=8x+(-24)=8x-24. So, 8x-24=x+25.
Next, we need to solve for x, "a number," by isolating it on one side of the equation, using inverse operations on both sides of the equation. 8x-24=x+25. 8x-24+24=x+25+24. 8x=x+49. 8x-x=x+49-x. 7x=49. 7x/7=49/7. x=7. So, the number is 7.
Answer: 7
The number of bacteria at any time t where t is number of hours is given by the equation,
At = Ao(1/2)^t/4
where Ao is the original number of bacteria. Substituting the known values from the equation,
1500 = (75000)(0.5)^t/4
The value of t from the equation is equal to 22.57 hours.
Answer: Choice B) 33, 44, 55
The pythagorean theorem is a^2 + b^2 = c^2. A pythagorean triple is a set of positive whole numbers (a,b,c) such that all three numbers make that equation true. The 'c' is always the largest value. The order of 'a' and 'b' doesn't matter though usually 'a' is the smaller of the two. If we go through all the answer choices, we'd see that only choice B fits because
a^2+b^2 = 33^2+44^2 = 3025
and c^2 = 55^2 = 3025
therefore 33^2+44^2 = 55^2 is a true equation
This is not super clear you need to give more detail.