Question
A mason will lay rows of bricks to build a wall. The mason will spread 3/8 inch of mortar on top of all but the last row of bricks . The finished wall will be 1 1/8 inch less than 4 feet high.
A. The mason wants to lay the bricks , so that the shortest edge of each brick is vertical. How many rows of bricks are needed ? Show your work .
Hint:
1. Height of the wall = (Height of 1 brick row × no. of rows) + (Height of each mortar layer × no. of mortar layers).
2. 1 foot = 12 inches.
The correct answer is: 18 rows of bricks are required to build the given wall
Step-by-step solution:-
Let the no. of rows of bricks to be used to build the wall be x.
∴ No. of brick rows = x ................................................................................. (Equation i)
Also, we know that the mortar layer is placed over each brick row except the top row.
∴ No. of mortar layers = x - 1 ….................................................................... (Equation ii)
From the given information, we get-
Height of the wall = 4 feet - 1 1/8 in.
∴ Height of the wall = (4 12) in. - 9/8 in. ................................................... (1 foot = 12 inches)
∴ Height of the wall = 48 - 9/8
∴ Height of the wall = (384-9)/8 .................................................................... (Making denominators equal)
∴ Height of the wall = 375/8 in. .................................................................... (Equation iii)
Now, we are given that smallest edge of the brick forms the vertical length of the brick row.
∴ Height of 1 brick row = 2 1/4 inches
∴ Height of 1 brick row = 9/4 in. ................................................................... (Equation iv)
Also, height of each mortar layer = 3/8 in. .................................................. (Equation v)
Final Answer:-
∴ 18 rows of bricks are required to build the given wall.
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A. The cost of 4 tetras is the same as the cost of a rainbow fish.
B. One rainbow fish plus 5 tetras Cost $21.
C. An equation to find the cost r, in dollars of a rainbow fish is 8r + 2(r + 6) = 37
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Let's talk about the cost equation.
A company must determine the cost of producing and selling one of its products to create a cost equation. It must also calculate the overhead costs of production. Typically, the cost equation is the cost of manufacturing and selling one item multiplied by the number of items sold and added to the company's overhead costs.
For example, a company with $300,000 in overhead costs that manufacture and sells products that cost the company $5 each has a cost equation of 300,000 + $5. (5 x number of products sold).