12
Remember to use PEMDAS when solving these problems. You multiply before you work with addition and subtraction.
Answer:
all numbers
Step-by-step explanation:
3x - 5(x + 6) = -2x -2(5 + 10)
Distribute on both sides.
3x - 5x - 30 = -2x - 10 - 20
Add 2x to both sides.
-2x - 30 = -2x - 30
-30 = -30
Since we get a true statement after only doing legal steps to solve the equation, the equation has an infinite number of solutions.
Answer: all numbers
Answer:12 Protein bar and 3 magazines
Step-by-step explanation:
Given
Tom purchases Protein bars 3 times as much as magazine
Each bar cost 
Each magazine costs 
Sales tax is 6.5 %
suppose Tom buy x magazines so
Price of magazine is 
Price of bars is 
Total Price
After sales tax 
This must be less than 
so 

thus 
so he but 4 magazines and 12 protein bars
Use the website Symbolab. It's helped with all of my calculus problems.
Answer:
The pebble will hit the ground 8.29 second after it is thrown.
Step-by-step explanation:
Given that,
The height of the pebble after t seconds is given by the equation
h= -16t²+24 t+900.
When the pebble hit the ground, the height of the pebble will be zero.
So putting h=0 in the given equation.
0 = -16t²+24 t+900
⇒-4(4t²-6t-225)=0
⇒4t²-6t-225=0
Applying quadratic formula
, here a=4, b= -6 and c= -225.

⇒ t = 8.29, -6.79
Since time can not negative.
∴t=8.29 seconds.
The pebble will hit the ground 8.29 second after it is thrown.