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.
Answer:
The perimeter of the plaque is 28 inches.
Step-by-step explanation:
Given : A house number is displayed on a plaque in the shape of a regular 7-sided polygon. The area of the plaque is 70 squared inches. The perpendicular distance from a side to the center is 5 inches to the nearest inch.
To find : What is the perimeter of the plaque?
Solution :
The 7-sided polygon can be divided into seven triangles whose height, h is equal to the perpendicular distance from each side to the center.
The base of each triangle is equal to the length of a side, s.
The area of each triangle is
The area of the whole polygon is
Now, the perimeter of a regular 7-sided polygon is .
Substitute in area,
We have given,
The perimeter of the plaque is 28 inches.