Answer:
218 students purchased tickets at the dance.
Step-by-step explanation:
Let,
x be the number of presale tickets
y be the number of tickets sold at the dance
According to given statement;
x+y=334 Eqn 1
18x+24y=7320 Eqn 2
Multiplying Eqn 1 by 18
18(x+y=334)
18x+18y=6012 Eqn 3
Subtracting Eqn 3 from Eqn 2
(18x+24y)-(18x+18y)=7320-6012
18x+24y-18x-18y=1308
6y=1308
Therefore,
218 students purchased tickets at the dance.
Answer:
A. The lines stay parallel
Step-by-step explanation:
Rigid transformations do not change angle or line relationships. When the parallel lines are rotated they stay parallel. Reflecting them will keep them parallel. If this were not true, then figured with parallel lines like rectangles and squares would change shape when reflected.
Answer:
Amount of time would be greater than 95 minutes
Step-by-step explanation:
We are told that machine B can pack 11 boxes per minute.
Thus, this is 11x where x represents number of minutes.
We are told that the factory revives an order of over 1100 boxes and that it had already packed 55.
Thus,the inequality equation is;
11x + 55 > 1100
Solving this;
11x > 1100 - 55
11x > 1045
x > 1045/11
x > 95 minutes
1/3 oranges were spoiled.....u threw away 4 oranges...
1/3 of what = 4....
1/3x = 4
x = 4 * 3
x = 12 oranges
1/4 grapefruits were spoiled....u threw away 7
1/4 of what = 7
1/4x = 7
x = 7 * 4
x = 28
so ur fruit basket contained 12 oranges and 28 grapefruits before u discarded the spoiled ones
Please use " ^ " to denote exponentiation:
<span>f(x) = –(x + 8)^2 – 1
Find the first derivative: f '(x) = -2(x+8)(1)
Set this = to 0: -2(x+8) = 0
solve for x: x = -8
Divide the number line into subintervals based upon x=-8:
(-inf, -8) and (-8, inf)
Choose a test value for x from each interval, e. g., -10 from the first interval and 20 from the second.
Subst. this test value into the derivative, shown above.
If the result is + the function is incr on that interval; if - the fn. is decr.
Questions welcome!</span>
