The equation for area of a triangle is A= 1/2bh so a=1/2(12cm)(9.6cm)
Answer:
92 attendees had activity cards
Step-by-step explanation:
Let x be the number of students with activity cards. Then 130-x is the number without, and the total revenue is ...
7x +10(130 -x) = 1024
7x +1300 -10x = 1024 . . . . eliminate parentheses
-3x = -276 . . . . . . . . . . . . . collect terms; subtract 1300
x = 92 . . . . . . divide by 3
92 students with activity cards attended the dance.
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<em>Comment on the solution</em>
Often, you will see such a problem solved using two equations. For example, they might be ...
Let 'a' represent the number with an activity card; 'w' the number without. Then ...
- a+w = 130 . . . . the total number of students
- 7a +10w = 1024 . . . . the revenue from ticket sales
The problem statement asks for the value of 'a', so you want to eliminate w from these equations. You can do that using substitution. Using the first equation to write an expression for w, you have ...
w = 130-a
and making the substitution into the second equation gives ...
7a +10(130 -a) = 1024
This should look a lot like the equation we used above. There, we skipped the extra variable and went straight to the single equation we needed to solve.
Answer:
The provided statement is TRUE.
Step-by-step explanation:
The function <em>f</em> is an expression in variable <em>x</em>.
The entire expression can either be denoted by f (x) or <em>y</em>.
For instance consider the quadratic expression:
f (x) = ax² + bx + c
≡ y = ax² + bx + c
So, on computing the value of f (2), it implies that we are computing the value of y for <em>x</em> = 2.
Thus, the provided statement is TRUE.
I'm not sure I'm understanding the wording of the question, but if it's this:
Juice boxes come in a package with multiple juice boxes in each package. Three people bought 18, 36, and 45 juice boxes. What is the largest possible number of juice boxes per package?
Then the problem is just an involved way of asking what the greatest common factor of 18, 36, and 45 is, and the answer is 9, the difference between 36 and 45, which are both multiples of 9. Note that 18 is also a multiple of 9. One way to find the greatest common factor of three numbers is to factor all of them and find which prime factors they have in common.
Step-by-step explanation:
option a
x^5 -3√x^2 -18√x