Answer:
x
0
Step-by-step explanation:
We know that in 
y cant be negative, therefore x has to be at least zero for the equation to work.
Answer:
P = 40 units
Step-by-step explanation:
P = s + s +s + s
P = 8 + 8 + 12 + 12
P = 40 units
Answer:
B. 36 C. 180 D. 240 E. 1,656
Step-by-step explanation:
Partial product is the multiplication of individual digit of a number in turn with each digit of the others where each digit maintains its place.
Using distributive property to multiply 24 × 69 to determine our partial products:
i.e.
24 × 69 = 24 × (60 + 9)
= (24 × 60) + (24 × 9)
= 60 (20 + 4) + 9(20 + 4)
So; we can have:
= (60 × 20) + (60 × 4) + (9 × 20) + (9 × 4)
= 1200 + 240 + 180 + 36
= 1656
The area of a circle is π (radius²)
The area of the outer (2-ft) circle is π (2²) = 4 π square feet.
The area of the inner (1-ft) circle is π (1²) = 1 π square feet.
The inner circle covers 1/4 of the area of the outer circle.
So if the ant wanders around totally aimlessly and randomly, and there's no way to
know where he came from, where he is now, or where he's going next, and there's
an equal chance of him being <em><u>anywhere in the big circle</u></em> at any time, then there's a
<u>25% chance</u> of him being inside the small circle at any time, because 1/4 of the
total area is in there.
That's choice c).
Answer:
x = 1/4
y = -1/2
z = 9/4
Step-by-step explanation:
Here we have a system of 3 equations with 3 variables:
4*x + 2*y + 1 = 1
2*x - y = 1
x + 3*y + z = 1
The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:
2*x - y = 1
2*x - 1 = y
Now that we have an expression equivalent to "y", we can replace this in the other two equations:
4*x + 2*(2*x - 1) + 1 = 1
x + 3*(2*x - 1) + z = 1
Now let's simplify these two equations:
8*x - 1 = 1
7*x - 3 + z = 1
Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:
8*x - 1 = 1
8*x = 1 + 1 = 2
x = 2/8 = 1/4
Now that we know the value of x, we can replace this in the other equation to find the value of z.
7*(1/4) -3 + z = 1
7/4 - 3 + z = 1
z = 1 + 3 - 7/4
z = 4 - 7/4
z = 16/4 - 7/4 = 9/4
z = 9/4
Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:
y = 2*(1/4) - 1
y = 2/4 - 1
y = 1/2 - 1
y = -1/2
Then the solution is:
x = 1/4
y = -1/2
z = 9/4
