Answer:
80 gifts
Step-by-step explanation:
Maddison hid 12 of her sister's birthday gifts around the house. If this was 15% of the gifts, how many total gifts did her sister have?
Let the Total gifts that her sister has be represented by x
Hence:
15% of x = 12
15/100 × x = 12
15x /100 = 12
Cross Multiply
15x = 100 × 12
15x = 1200
x = 1200/15
x = 80 gifts
Hence, the total gifts her sister has is 80 gifts
Answer:
7x^2 + 14x - 12
Step-by-step explanation:
Add like terms:
(4x + 8x - 5) + (3x2 + 6x - 7) becomes:
4x^2 + 8x - 5 or (grouping like terms in columns):
+ 3x^2 + 6x - 7
---------------------
7x^2 + 14x - 12
Answer:
For 0° ≤ x ≤ 360° we have:
x=0, 360, arccos(1/6), -arccos(1/6)
Step-by-step explanation:
Replace cos(x) by y
6y²-7y+1=0
6y²-6y-y+1=0
6y(y-1) -(y-1)=0
(y-1)(6y-1)=0
Roots:
y=1, cos(x)=1, x=0 and 360
y=1/6, cos(x)=1/6, x=arccos(1/6) and x=-arccos(1/6)
Answer:
(-2,-4)
Step-by-step explanation:
Turning the point 180 degrees causes the point to be reversed, or upside down, therefore the numbers will become negative.