Answer: There were 78 red apples at the party.
Step-by-step explanation:
This situation can be represented by the equation
x + 3x + 2(3x) = 130 where x is the number of green apples, 3x is the number of yellow apples and 2(3x) is the number of red apples.
Now solve for x
x +3x +2(3x) =130
4x + 6x = 130
10x = 130
x = 13
Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.
2 * (3*13) = ?
2 * 39 = 78
25% of 160 is 40. Hope this helps
<span>k^2+11k has 11 as the coefficient of the first power of the variable (k).
To complete the square:
Take HALF of this coefficient. In other words, take HALF of 11, obtaining 11/2.
Square this (11/2): (121/4)
Add this 121/4 to </span><span>k^2+11k
Result: </span><span>k^2+11k + 121/4
This is a perfect square: </span>k^2+11k + 121/4 = (k + 11/2)^2
Answer: The number to be added to k^2 + 11k to make it a perfect square is (121/4).
Equation for parabola is
y = a ( x - h ) ^2 + k where (h,k) is the vertex of the parabola.
Given: vertex (-4, -1) h = -4; k = -1
y = a (x - (-4))^2 + (-1)
y = a ( x + 4)^2 - 1 plug in the values given for x and y. y-value is 0 and x-value is 2
0 = a (2 + 4)^2 -1
0 = a (6)^2 -1 square 6
0 = a 36 - 1 add 1 to both sides to isolate the a
1 = 36 a divide both sides by 36 to isolate the a
1/36 = a the coefficient.
i think you might have typed a number incorrectly if those are your answer choices. Maybe the step by step process can still help you with your correct numbers. :-)
