Answer:
400 red boxes were sold
Step-by-step explanation:
Step 1: Our output value is 2000.
Step 2: We represent the unknown value with x.
Step 3: From step 1 above,2000=100%.
Step 4: Similarly, x=40%.
Step 5: This results in a pair of simple equations:
2000=100%
x=40%(2)
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
2000/x = 100%/40%
Step 7: Again, the reciprocal of both sides gives
x/2000 = 40%/100%
x=800
Therefore, 40% of 2000 is 800
and to find 50% just divide by 2
"h and k cannot both equal zero" -- yes, it can. if the vertex of a parabola is at (0, 0), there's nothing incorrect/invalid about that!!
"k and c have the same value" -- k and c do not have the same value. "k" is the y-value of the vertex and c is the constant in your quadratic equation, and the constant is not necessarily the y-value.
"the value of a remains the same" -- this is true. the a's in your equations are the same values, because the a-value is the coefficient of the x-variable in both equations. y = a(x - h)^2 and y = ax^2 -- both of these have a applying to your x-variables.
"h is equal to one half -b" -- this isn't true. the formula for calculating the x value of the vertex (h is the x-value of the vertex) is h = (-b/2a). -b/2a is not the same as one half -b because this answer choice doesn't involve the a-value.
Answer:
The area of the figure = 112 in²
Step-by-step explanation:
The figure consist of:
1) A square of side length of 10 in.
2) A right triangle with a base of (10 - 6 = 4 in) and a height of (16 - 10 = 6 in)
So,
The area of the square = (side length)² = 10² = 100 in²
The area of the triangle = 0.5 * height * base = 0.5 * 6 * 4 = 12 in²
So,
The total area = 100 + 12 = 112 in²
<u>The area of the figure = 112 in²</u>
Your answer is D. I've had this equation before.
Answer:
7
Step-by-step explanation: