Firstly, you have to calculate the 25 percent of the 32 apples which is 32 x 0.25 = 8. So the leftover apples would be 32 - 8 = 24. Since she divided the rest equally among 6 pies, you have to divide 24 by 6, which is 4.
Therefore there are 4 apples in each pie.
Given:
2x² + 8x - 12 = 0
Solution:
The first term 2x² can't be changed to a complete square form. If we want to change it to the complete square form, we need to change 2x² to 4x². So, multiply both sides of the equation by 2
2x² + 8x - 12 = 0
------------------------- multiplied by 2
4x² + 16x - 24 = 0
then change it to complete quadratic form by adding 16 to both sides
4x² + 16x - 24 = 0
4x² + 16x + 16 - 24 = 16
4x² + 16x + 16 = 16 + 24
4x² + 16x + 16 = 40
(2x + 4)(2x + 4) = 40
(2x + 4)² = 40
This is the complete quadratic form of the equation.
Because there is no option of the solution, we can modify the equation by multiplying the two sides by a square number. I multiply the equation by 4.
(2x + 4)² = 40
4 (2x + 4)² = 4 × 40
4 (2x + 4)² = 160
4 (2x + 4)(2x + 4) = 160
2(2x + 4) 2(2x + 4) = 160
(4x + 8)(4x + 8) = 160
(4x + 8)² = 160
The answer is option b
Answer:
Step-by-step explanation:
Tim has $7.14 to spend on candy that costs $3 per pound. Moby has $6.96 to spend on candy that costs $2.90 per pound. Which of the following is true?
A) Tim can't buy more than two pounds of candy
B) Moby can buy more candy than Tim
C) Tim can afford more candy than Moby
D) They can buy the exact same amount of candy
Correct Answer: Moby can buy more candy than Tim
Answer:
1) -1/3
2) 4
3) 5/2
4) 5/7
Step-by-step explanation:
To find slope, you must do rise/run, where rise is movement up and down, and run is movement left and right.
So just start from the left most point and count the little unit squares up or down to determine rise and then count them left or right to determine run, do this until you get to the next point. (If it's a positive slope then the line will go up to the right, and if it's negative then it will go down to the right).
For example: In the first graph, since the line is going down, the slope is negative. As you can see it goes down 1 and over to the right 3, so that's why it's presented as -1/3.
Hope this helps :)
It can go 78.75 or 78 3/4 meters in one second. Since it gave you 2/3, you divide 52.5 by 2, and then multiply it by 3.
