Answer:
D. 3 1/2
Step-by-step explanation:
Sum means addition (+)
Sum of a number, x and 1/2=4
This means the addition of the two numbers
x+1/2=4
Make x the subject of formula
x=4-1/2
Finding the L.C.M
= 8-1/2
x=7/2
x=3 1/2
Equilibrium is point where supply = demand
Solve with substitution.
From supply equation ---> q = 2p - 63
Sub into demand equation ---> (p+30)(2p-63+25) = 2584
Solve for p:
2p^2 +22p - 1140 = 2584
p^2 + 11p -1862 = 0
(p+49)(p-38) = 0
p = 38
Sub back into supply equation to find q
q = 2(38) - 63
q = 13
Answer: Equilibrium is 13 units sold at price of $38.
Answer:
Here is some helpful information from my mini lessons.
Step-by-step explanation:
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides. Here you'll learn that the ratio of the perimeters of similar figures is equal to their scale factor and that the ratio of their areas is equal to the square of their scale factor. If two polygons are similar, then the ratio of the lengths of any two corresponding sides is called the scale factor. This means that the ratio of all parts of a polygon is the same as the ratio of the sides.
Answer:
-6
Step-by-step explanation:
Add 2x-15 to both sides to get 2x=-12 or x = -6.
For this case, the surface area of the cylinder is given by:
A = 2 * pi * r * h + 2 * pi * r ^ 2
Where.
r: cylinder radius
h: cylinder height
Substituting values we have:
A = 2 * 3.14 * 5 * (2 * 5) + 2 * 3.14 * 5 ^ 2
A = 471
Answer:
The total surface area of the cylinder is:
A = 471
