Children=x
Adults=y
* x + y =275 => x = 275 - y
* 3.00x + 6.40y = 1284 <=> 3.00(275 - y) + 6.40y = 1284 <=> ... <=> y = 135 => x = 275 - 135 = 140
Children: 140
Adults: 135
ANSWER

EXPLANATION
The quadratic equation is:

Group variable terms:

Add the square of half, the coefficient of y to both sides.


The LHS us now a perfect square trinomial:

Take square root:


The first choice is correct.
Answer:
12.
Step-by-step explanation:
This equation seems to want you to use the Order of Operations, a.k.a PEMDAS (which stands for Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). When you do a problem like this, you use the Order of Operations to figure out the order in which you'd solve your problem.
You would first solve what is in parentheses, since that is the first letter in PEMDAS. 18-6x2 is what we have in our parentheses, but it's too confusing to be solved yet. The next letter is E, a.k.a exponents, but there are no exponents in this equation, so we move on. Next is M, Multiplication. We would multiply 6 by 2, which gives us 12. Moving on, we have D, Division. We would do 36/6, which is 6.
Our 5th letter is A, Addition. We would have to add our 6 to (18-12), but that couldn't work, since our 18-12 is still in parentheses, and those come first. So, we would skip to the last letter, S, Subtraction. 18-12=6, and since we solved all the problems in the parentheses, we remove them, and add both 6's together, giving us 12.
Answer: Amount of change : $30
percent increase : 200%
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
- <em>Wholesale price: $15
</em>
- <em>Retail price: $45
</em>
To obtain the amount of change we have to subtract the wholesale price to the retail price:
Mathematically speaking:
45 -15 = $30
For the percent increase, the amount of change (30) is some percent of the original price (15). So:
30 / 15 =2 (decimal form)
If we multiply it by 100, the percentage is:
200%
Answer: 70ft
Step-by-step explanation:
ht= (-3)^2 + 15(3) + 16
ht= 9 + 45 + 16
ht= 70