Answer:
40 pounds
Step-by-step explanation:
Given: Cost of a candy =
per pound
Cost of candy
Total amount of mixture of be produced =
Selling price of mixture =
Let´s x be the amount of to be mixed in the mixture.
∴ Cost of in the mixture = 12x
Next, Cost of in the mixture =
And we know the cost of final mixture =
Now, putting all the value in the equation
⇒
⇒
⇒
∴
∴ 40 pounds of candy worth $12 per pound to be mixed in the mixture.
1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m².
a = 51 m, b = 37 m, c = 20 m
semiperimeter: p = (51+37+20):2 = 54 m
Area of triangle:
Rate: ₹ 3 per m².
Cost: ₹ 3•306 = ₹ 918
2. Find the area of the isosceles triangle whose perimeter is 11 cm and the base is 5 cm.
a = 5 cm
a+2b = 11 cm ⇒ 2b = 6 cm ⇒ b = 3 cm
p = 11:2 = 5.5
3. Find the area of the equilateral triangle whose each side is 8 cm.
a = b = c = 8 cm
p = (8•3):2 = 12 cm
4. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.
a = 2x
b = 3x
2x + 2•3x = 32 cm ⇒ 8x = 32 cm ⇒ x = 4 cm ⇒ a = 8 cm, b = 12 cm
p = 32:2 = 16 cm
Answer:
Granted that uppercase letters are the angles measurements and lowercase letters are the side lengths. I also was unable to round as I don't know to what decimal you need to round to.
First to find the measure of angle B, we must subtract A and C from 180
B=54
Next, we can use the law of sines in order to find the measures of a and b
As a reminder, The law of sines is
First, lets solve for b
Next lets solve for a