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.
The cost of small box of oranges is $7.
The cost of large box of oranges is $13.
<u>Step-by-step explanation:</u>
It is given that,
3 small boxes of oranges and 14 large boxes of oranges for a total of $203.
11 small boxes of oranges and 11 large boxes of oranges for a total of $220.
Let us take,
- The cost of small box of oranges = x
- The cost of large box of oranges = y
<u>The system of equations are framed as :</u>
3x + 14y = 203 ---------(1)
11x + 11y = 220 ---------(2)
<u>To solve these equations for x and y values :</u>
Multiply equation (1) by 11 and equation (2) by 3
Subtract eq(2) from eq(1),
33x + 154y = 2233
- <u>(33x + 33y = 660) </u>
<u> 121 y = 1573 </u>
⇒ y = 1573 / 121
⇒ y = 13
∴ The cost of large box of oranges is $13.
Substitute y=13 in the eq(1),
⇒ 3x + 14(13) = 203
⇒ 3x + 182 = 203
⇒ 3x = 203 - 182
⇒ 3x = 21
⇒ x = 21 / 3
⇒ x = 7
∴ The cost of small box of oranges is $7.
<u />
Answer:40
Step-by-step explanation:+$)#)#
Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
Step-by-step explanation:
(-24)+19
= 19 - 24
= -5 (Ans)
