Answer:
A. 32.08
Step-by-step explanation:
The figure given is a right triangle. We would apply trigonometric ratios formula to find x.
Reference angle = 58°
Hypotenuse = x
Adjacent length = 17
Thus, we would apply the following:
Plug in the values
Multiply both sides by x
Divide both sides by Cos(58)
(2 d.p)
Answer: AFC has won 23 games.
Step-by-step explanation:
AFC=x
x+2=NFC
X + x+ 2 =48
2x=46
x=23. AFC
solve for NFC
x+2=NFC
23+2=25 NFC
PROVE EQUATION
x+x+2=48
23 + 25=48
48=48
Answer:
100
Step-by-step explanation:
Just add
The equation that shows the profit earned for selling popcorn for x hours is y = $15m - $20
From the equation of the linear function given y = mx + b
y indicates the profit earned and x represents the time in hours.
From the question,
After 3 hours, the popcorn stand earned a profit of $25.
∴ The equation becomes $25 = 3m + b ------ (1)
and after 6 hours, the profit was $70.
∴ The equation becomes $70 = 6m + b ------- (2)
Now, we will solve the two equations simultaneously
From the first equation
$25 = 3m + b
We can write that
b = $25 - 3m ------- (3)
Substitute this into the second equation
$70 = 6m + b
We get
$70 = 6m + ($25 - 3m)
$70 = 6m + $25 - 3m
$70 - $25 = 6m - 3m
$45 = 3m
∴ m = $45 ÷ 3
m = $15
Now, substitute the value of m into equation (3)
b = $25 - 3m
b = $25 - 3($15)
b = $25 - $45
b = -$20
∴ m = $15 and b = -$20
Putting these values into the equation y = mx + b we get
y = $15m +(- $20)
∴ y = $15m - $20
Hence, the equation that shows the profit earned for selling popcorn for x hours is y = $15m - $20
Learn more here: brainly.com/question/19511111
(72)p = 76
p = 76/72 = 19/18
