There is a 50/50 chance Bob and Wanda will sit next to each other.
Step-by-step explanation:
Let the number of singing act be x
Let the number of comedy act be y
If the total act is 14, then;
x+y = 14..... 1
If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:
4.5x + 3.5y = 59 .......... 2
Solve both equation simultaneously for x and y
x+y = 14
45x+35y = 590
.................................
x+y = 14......... *9
9x+7y = 118....... 1
...............................
9x+9y = 126
9x+7y = 118
Subtract both equations
9y-7y = 126-118
2y = 8
y = 8/2
y = 4
Substitute y = 4 into equation 1;
From 1: x+y = 14
x+4 = 14
x = 14-4
x =10
Hence there are 10 singing acts and 4 comedy acts in the show
Answer:
-8,6
Step-by-step explanation:
from what i can tell this is a 1D problem. |E-G|=7, and E=-1, so -1-G=+-7. G=-8 or 6
Step-by-step explanation:
<em>Its</em><em> </em><em>a</em><em> </em><em>simple</em><em>.</em><em>.</em>
<em>=</em><em>4</em><em>^</em><em>2</em><em>×</em><em>5</em><em>^</em><em>1</em><em>2</em><em>×</em><em>6</em><em>^</em><em>8</em>
<em>=</em><em>1</em><em>6</em><em>×</em><em>2</em><em>4</em><em>4</em><em>1</em><em>4</em><em>0</em><em>6</em><em>2</em><em>5</em><em>×</em><em>1</em><em>6</em><em>7</em><em>9</em><em>6</em><em>1</em><em>6</em>
<em>=</em><em> </em><em>6</em><em>.</em><em>5</em><em>6</em><em>1</em><em>×</em><em>1</em><em>0</em><em>^</em><em>1</em><em>5</em>
<em>Hope it helps</em><em>.</em><em>.</em><em>.</em>
Answer:
(-7,4)
Step-by-step explanation:
goal: (y-k)^2=4p(x-h)
y^2-8y=4x+12 Rearranged and added 4x and 12 on both sides
y^2-8y+(-8/2)^2=4x+12+(-8/2)^2 complete square time (add same thing on both sides)
y^2-8y+(-4)^2=4x+12+(-4)^2 (simplify inside the squares)
(y-4)^2=4x+12+16 (now write the left hand side as a square)
(y-4)^2=4x+28
(y-4)^2=4(x+7) factored...
vertex is (-7,4)
