Answer:
Step-by-step explanation:
1) Let x be the number of adults and y be the number of students
x + y = 8 --------------(I)
y = 8 -x
7.25x + 5.50y = 52.75 ----------------(II)
Substitute y = 8 -x in equation (II)
7.25x + 5.5*(8 - x) = 52.75
7.25x + 5.5*8 - x*5.5 = 52.75
7.25x + 44 - 5.5x = 52.75
<u>7.25x - 5.5x</u> + 44 = 52.75
1.75x + 44 = 52.75
1.75x = 52.75 - 44
1.75x = 8.75
x = 8.75/1.75
x = 5
Plugin x = 5 in equation 1
y = 8 - 5
y = 3
2) x = y + 24
x + y = 180 {Supplementary}
y + 24 + y = 180
2y + 24 = 180
2y = 180 - 24
2y = 156
y = 156/2
y = 78
x = 78 + 24 = 102
10 plus 5x = 50(x=8)
62 times 2x = 128(x=31)
Remember, you can do anything to an equation as long as you do it to both sides
minus 1 both sides
7x=35
divide both sides by 7
x=5
The form for that type of equation is y=|x-h|+k
H is the horizontal movement, k is the vertical.
So for your equation, y=|x-(-7)|+0
Final answer:
Move to the left 7 and up 0.
Hope I helped :)
Answer:
Because you are looking for square inches of wrapping paper, you are looking for the surface area of the box. A three-dimensional box has a top and bottom that are the same size, a front and back that are the same size, and 2 sides that are the same size...or SA = 2(top/bottom area) + 2(front/back area) + 2(side/side area). Our equation fills in nicely like this:
SA = 2(6 * 14) + 2(6 * 8) + 2(14 * 8)
SA = 2(84) + 2(48) + 2(112)
SA = 168 + 96 + 224
SA = 488 square inches of paper to wrap the box.
Step-by-step explanation: