Answer:
1. C. 28/54
2. A. 5/22
Step-by-step explanation:
1. Simplify each fraction to see which of the four are equal to 4/9.
2. Convert each to a decimal to see which is between 2/11 and 3/11.
The length of the sky lift is 3.387.05 ft
Step-by-step explanation;
By an online search, i found that the sky lift
rises at an angle of 20.75 degrees.
Then we can think on a triangle rectangle, such
that:
One cathetus is 1200ft, this is the opposite
cathetus to the angle of 20.75°
The length of the ski lift would be the
hypotenuse of this triangle rectangle.
Then we can use the relationship:
Sin(a) = opposite cathetus/hypoteuse.
such that:
a = 20.75°
opposite cathetus=1200ft
then:
sin(20.75°) = 1200ft/hypotenuse
hypotenuse =1200ft/sin(20.759) =3.387.05 ft
The length of the sky lift is 3.387.05 ft
Answer:
y=2x-3
Step-by-step explanation:
Answer:
The sold 354.5 hamburgers and 300.5 cheeseburgers.
Step-by-step explanation:
Let number of hamburgers=h
Let number of cheeseburgers=c
On Sunday, the shop sold a combined total of 659 hamburgers and cheeseburgers. Therefore:
h+c=659....(I)
There were 50 fewer cheeseburgers sold than hamburgers .
c=h-50.....(ii)
Substitution of equation (ii) into (I)
h+(h-50)=659
2h=659+50
2h=709
h=709/2=354.5
From (ii)
c=h-50
=354.5-50=300.5
The sold 354.5 hamburgers and 300.5 cheeseburgers.
NOTE: These result are from the given data. However, we were not informed if the shop sells half burgers or not
Answer:
The nomber of people can attend a dinner that costs $131. 50 is 14.
Step-by-step explanation:
With the information provided, it can be said that the total cost of a dinner would be equal to the initial fee plus the result of multiplying the price per person for the number of people, which can be expressed as:
c=16+8.25x, where:
c is the total cost of he dinner
x is the number of people
Now, you can replace c with 131.50 that is the cost of a dinner and solve for x to find the number of people that can attend:
131.50=16+8.25x
131.50-16=8.25x
115.50=8.25x
x=115.50/8.25
x=14
According to this, the answer is that the nomber of people can attend a dinner that costs $131.50 is 14.