Answer:
Shopkeepers gain just by weighing is 22.22%
Step-by-step explanation:
Explanation:
Assume that the shopkeeper bought x units of goods i.e. actual weight of goods.
As the balance used to buy goods weighs 10% more, he actually bought x×110100=1.1x weight units i.e. although the shopkeeper paid for x units, he actually bought 1.1x units by weight.
Now he has 1.1x units of goods, but for selling he uses another balance, which actually measures 10% less i.e. 1−0.10=0.9 units for each unit weight of goods sold.
So while selling 1.1x becomes 1.1x0.90=1.2222... units.
Hence, shopkeepers gain just by weighing is 22.22%
In this case the two equations<span> describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the </span>equation<span> of either line. Thus the pair (x, y) is the one and only </span>solution to the system of equations<span>.</span>
4x+3y=13
y=-x+4
x+y=4
4x+3y=13
4x+4y=16
-y=-3
<em>y=3
</em><em />4x+9=13
4x=4<em>
x=1
hope i helped!!</em>
Answer:
(-4, 3)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations by substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
-3x - 3y = 3
y = -5x - 17
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -3x - 3(-5x - 17) = 3
- Distribute -3: -3x + 15x + 51 = 3
- Combine like terms: 12x + 51 = 3
- Isolate <em>x</em> term: 12x = -48
- Isolate <em>x</em>: x = -4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -5x - 17
- Substitute in <em>x</em>: y = -5(-4) - 17
- Multiply: y = 20 - 17
- Subtract: y = 3
Answer:
See attachment for circle
Step-by-step explanation:
Given
Required
Draw and label the circle
The equation of a circle is:
Where:
So, we have:
<em>See attachment for circle</em>
