Revenue > Cost
R(x) > C(x)
0.50x > 10+0.20x
0.50x-0.20x > 10
0.30x > 10
x > 10/0.30
x > 33.333 which is approximate
Round up to the nearest whole number to get x = 34. You need to sell at least 34 cups of lemonade to have the revenue R(x) be larger than the cost C(x)
Answer: 34
Study the figure attached below:
Answer:
240951.33km
Step-by-step explanation:
For this type of question first we need to draw the figure as shown in the attached file (Figure.1).
Looking at the figure, we can see that triangle ABC is formed by bisecting the angle 35 degree (i.e. if the angle is bisected, it will divide into two equal parts, so 35 degree will divide into two equal parts of 17.5 degree).
As the triangle ABC is a right triangle, so we can use the trigonometric ratios to find the diameter of the sun.

In the triangle ABC, perpendicular (opposite side to
) is BC and base (Adjacent side) is AC

=17.5 degree
AC=382100km
Putting the values, we get

Diameter=d=2*Radius
As BC is the distance from center of the sun, it is the radius, so we can find the diameter if we multiply it by 2.
Diameter of the sun=d=2*120475.66km

Answer:
54
Step-by-step explanation:
Estimate=Population size × Sample proportion
population size = 120
sample proportion = (9)/(9+6+5) = 9/20 (check on Cymath as a resource)
estimate = 120 x 9/20 = 54
It is given here that there is 1/3 probability of professional baseball player will get a hit. Hence if at least three hits are gained out of 5 attempts, the calculation goes: 5C3* (1/3)^3*(2/3)^2 + 5C4* (1/3)^4*(2/3)^1 +5C5 *<span>(1/3)^5*(2/3)^0 equal to 0.21. </span>