Answer:
18
Step-by-step explanation:
Answer:
13 : 8
Step-by-step explanation:
Number of plain bagels sold = 8
Number of rye bagels sold = 13
Ratio of the number of rye bagels to the number of plain bagels sold = 13 : 8
Also written as
13/8
Or
13 to 8
Answer:
74 adult tickets and 106 children tickets
Step-by-step explanation:
let x be the number of adults tickets sold out
and y the number of chlidrens tickets that sold out for the 7:15 pm show
The equations that determine our problem are
x+y=180
12.50x+8.50y=1826
lets separate x from first equation x=180-y and replace at the second equation
12.50(180-y)+8.50y=1826
12.50*180-12.50y+8.50y=1826
2250-4y=1826
4y=2250-1826
y=424/4=106
so x=180-y=180-106=74
Replace f(x) with 0 and solve for x. We do this because the x intercepts always occur when y = 0. Keep in mind that y = f(x).
f(x)=x^3-9x^2+20x
0=x^3-9x^2+20x
x^3-9x^2+20x = 0
x(x^2-9x+20) = 0 .... factor out GCF x
x(x-5)(x-4) = 0 ... factor the stuff inside
x = 0 or x-5 = 0 or x-4 = 0 ... zero product property
x = 0 or x = 5 or x = 4
<h3>The roots or zeros are 0, 5, 4</h3><h3>Answer: Choice D</h3>
Answer:
The correct answer is 12.446 feet.
Step-by-step explanation:
A ladder leans against a building forming an angle of 50° with the ground.
The base of the given ladder is 8 feet away from the building.
Let the length of the ladder that is to be found be x feet.
Thus we find the cosine of the angle of inclination.
∴ cos 50° = 
⇒ x = 12.446 feet
Therefore the length of the ladder is 12.446 feet.