<span>Simplifying
3x + -1y = 12
Solving
3x + -1y = 12
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'y' to each side of the equation.
3x + -1y + y = 12 + y
Combine like terms: -1y + y = 0
3x + 0 = 12 + y
3x = 12 + y
Divide each side by '3'.
x = 4 + 0.3333333333y
Simplifying
x = 4 + 0.3333333333y</span>
Answer:
$68.97
Step-by-step explanation:
Markup is the difference between the cost of an item and the price at which it is sold:
cost price + markup = selling price
Here, the markup is said to be 70%. The base for that percentage can be either the cost price or the selling price. The way this question is worded suggests the markup is 70% of the cost price.
So, we have ...
cost price + 0.70 × cost price = selling price
or
cost price × (1 + 0.70) = selling price
__
Then, to find the cost price, we can divide by its coefficient in this equation. Doing that gives ...
cost price = (selling price)/1.70
cost price = $117.25/1.70 = $68.97
The store's purchase price before the markup for this item was $68.97.
Answer:
0.19
Step-by-step explanation:
Find first 2 whole numbers and round up
Answer:
1) The number of vegetable plot Filipe has = 9 vegetable plots
2) A number line with 1/12 divisions will give the number of 1/12 acre vegetable plots as the number of divisions between 0 and 3/4
Step-by-step explanation:
1) The total size of the land Filipe has = 3/4 acre
The size of the vegetable plots to which he separates the land = 1/12 acre
The number of vegetable plot Filipe has = (The total size of the land Filipe has)/(The size of the vegetable plots to which he separates the land )
∴ The number of vegetable plot Filipe has = (3/4)/(1/12) = 9
The number of vegetable plot Filipe has = 9 vegetable plots
2) The number line can be used to model the situation by having the number line that has divisions of 1/12 unit and counting the number of 1/12 divisions between the zero (0) mark and the three quarter (3/4) mark