Answer:
2824
Step-by-step explanation:
Take the number of pounds and divide by the number of people:
3.474×10⁹ / 1.23×10⁶
Divide the coefficients and subtract the exponents:
(3.474 / 1.23) × 10⁹⁻⁶
2.824×10³
So the country produced about 2,824 pounds of garbage per person in 2005.
Answer: There are 3 even numbers on the cube. There are 2 sides to a coin. there is a 1/2 chance of the cube landing on an even number. There is a 1/2 chance of the coin landing on tails.
There is a 1/4 chance of these events occurring together.
Answer:
X = 45°
Y = 72°
Step-by-step explanation:
There is a supplementary angle (an pair of angles that create a straight line is equal to 180°) and there is the rule that all three angles in a triangle equal 180° as well.
Answer:the third option is correct
Step-by-step explanation:
The system of equations are
y = 2x^2 - 5x - 7 - - - - - - - - - - -1
y = 2x + 2 - - - - - - - - - - - - - 2
We would equate equation 1 and equation 2. It becomes
2x^2 - 5x - 7 = 2x + 2
2x^2 - 5x - 2x - 7 - 2 = 0
2x^2 - 7x - 9 = 0
We would find two numbers such that their sum or difference is -7x and their product is - 18x^2. The two numbers are 2x and - 9x. Therefore
2x^2 + 2x - 9x - 9 = 0
2x(x + 1) - 9(x + 1) = 0
2x - 9 = 0 or x + 1 = 0
2x = 9 or x = - 1
x = 9/2 = 4.5
Substituting x = 4.5 or x = -1 into equation 2, it becomes
y = 2 × 4.5 + 2 or y = 2 × - 1 + 2
y = 11 or y = 0
Therefore, the solutions are
(4.5, 11) (- 1, 0)
If you would like to know which one of the options is better to buy, you can calculate this using the following steps:
3 sandwiches ... $4.95
1 sandwich ... $x = ?
______________________
3 * x = 1 * 4.95 /3
x = 4.95 / 3 = $1.65
4 sandwiches ... $6.72
1 sandwich ... $y = ?
______________________
4 * y = 1 * 6.72 /4
y = 6.72 / 4 = $1.68
Result: You should buy sandwiches from the first option ($1.65 < $1.68 per unit).
