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Answer:
4 pounds of wooden blocks and 6 pounds of plastic bricks should be used.
Step-by-step explanation:
Let w = wooden block
Let p = plastic bricks
<u>Given the following data;</u>
Price of wooden block per pounds = $5
Price of plastic brick per pounds = $10
*Translating the word problem into an algebraic equation*
For the 10-pound mixture;
.........equation 1
For the $80 mixture;
..........equation 2
Solving the linear equation by using the substitution method;
Making w the subject in equation 1:
.......equation 3
Substituting "w" into equation 2;
Simplifying the equation, we have;
Rearranging the equation, we have;
p = 6 pounds (For the plastic brick).
To find w;
Substituting "p" into equation 3;
w = 4 pounds (For the wooden block).
The area of sector is 1.57 m²
<u>Explanation:</u>
Given:
Radius, r = 3 m
Central angle of a sector = 1/9π radians
Area of sector, A = ?
We know:
Area of sector, A =
where,
α is the central angle in radians
On substituting the value we get:
Therefore, the area of sector is 1.57 m²