Answer:
They charge $35 per person.
Step-by-step explanation:
If they made $1,330 and 38 people came that afternoon then
$1,330 divided by 38
= $35
Answer:
A. 1:2.
Step-by-step explanation:
24: 10+6+8+24
24:48
= 1
= 2
1:2
Answer:<em> 44 matches</em>
Step-by-step explanation:
<em>Let's take the given information</em>
<em>They won 37 matches</em>
<em>1/9th of their matches resulted in a draw</em>
<em>1/9 out of 90 is 9</em>
<em>You can take 90/9 and you will get 9</em>
<em>Now let us add 37+9 and you get 47</em>
<em>Now take 90-47</em>
<em>44 Matches lost</em>
<em>22/45 or 44/90</em>
Answer:
Length = 18 in
Width = 15 in
Step-by-step explanation:
We have that the area of a rectangle is:
A = L * W
but L = 1.2 * W
A = 1.2 * (W ^ 2)
1.2 * (W ^ 2) = 270
(W ^ 2) = 270 / 1.2
W ^ 2 = 225
Therefore, W is equal to:
W = 225 ^ (1/2)
W = +/- 15, but only +15 makes sense
W = 15
Now for L:
L = 1.2 * 15
L = 18
A = 15 * 18 = 270 in ^ 2
Answer:
64
Step-by-step explanation:
<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have 
, which equals zero when 
. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
