The units of the first number are "dollars." The second number has no apparent units, so we'll consider it a "pure number". This means the product will have the units of "dollars."
The two numbers together have 2+1=3 digits to the right of the decimal point(s). This means the final product will have 3 digits to the right of the decimal point. Since one of the factors is "dollars," it seems likely the result will need to be rounded to cents (2 decimal places). We'll provide the answer both ways (with 3 and with 2 decimal places.)
With these preliminaries out of the way, we have the problem of multiplying
... 79 × 37
There are numerous methods taught for finding this product. In the end, they all amount to multiplying every digit in one number by every digit in the other number and adding the results with appropriate place values. Several methods use 2-dimensional tables or arrays in their process. Here, we will use text on a line.
... 79 × 37 = (70 +9) × (30 +7)
... = 70×30 + 9×30 + 70×7 + 9×7
... = 2100 + 270 +490 + 63
... = 2100 +760 +63
... = 2860 +63
... = 2923
Putting the decimal point 3 places from the right, and adding the dollar sign gives our product:
... $0.79 × 3.7 = $2.923 ≈ $2.92
The left side
−
52
-
52
does not equal to the right side
0
0
, which means that the given statement is false.
False
Answer:
B
Step-by-step explanation:
Since x varies directly as y, the ratio of x to y remains the same. Let the value of x when y=4 be a. Then we have
We can cross multiply to get that
Answer:
The answer is below
Step-by-step explanation:
The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.
Therefore:
∠MON = ∠MOP + ∠NOP (angle addition postulate)
Substituting values gives:
124 = (2x + 1) + (2x + 1)
124 = 2x + 2x + 1 + 1
124 = 4x + 2
subtracting 2 from both sides of the equation:
124 - 2 = 4x + 2 - 2
4x = 122
Dividing through by 4:
4x / 4 = 122 / 4
x = 30.5
Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°
∠MOP = 62°, ∠NOP = 62°
Answer:
Cost Price = Rs 10000
Step-by-step explanation:
Assume:
Cost of the item = x
Item was sold at a loss of 20%:
Loss = 20% of x = 0.2x
Item sold = x - 0.2x = 0.8x
Item sold at a profit of 10%:
Profit = 10% of x = 0.1x
item sold = x + 0.1x = 1.1x
Solve:
Difference = 1.1x - 0.8x = 0.3x
0.3x = Rs 3000
x = Rs 3000 ÷ 0.3
x = Rs 10000
