Answer:
The variable is x.
The value of the variable is 9.2.
Step-by-step explanation:
The equation shows the variable x multiplied by 3.5 with the result of that multiplication being 32.2. In order to solve for x, you must "undo" that multiplication.
The definitions of the multiplicative inverse and of the multiplication identity element tell you how to do that. The multiplicative inverse of a number is its reciprocal: the multiplicative inverse of 3.5 is 1/3.5. Multiplying a number by its multiplicative inverse gives a result of 1. Here, that means ...
3.5 × (1/3.5) = 1
The property of the multiplicative identity element (1) is that anything multiplied by that is just that thing:
x · 1 = x
So, to solve this equation, you multiply both sides by the multiplicative inverse of 3.5:
3.5x = 32.2
(1/3.5)(3.5)x = (1/3.5)(32)
1x = 9.2 . . . . . carry out the multiplication
x = 9.2 . . . . . . recognize 1x = x
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You will recognize that multiplying by 1/3.5 is the same as dividing by 3.5. In other words, we solve this equation by dividing it by the coefficient of x.
32 mm = length × 100
(32 mm)/100 = length . . . . . divide both sides by 100
0.32 mm = length
The actual length of the organism is 0.32 mm.
Answer:
£113.1
Step-by-step explanation:
The price of an iPod is reduced in a sale from £200 to £145.
The price of the iPod is further decreased by 22% two months later. Find the new price.
The above question is solved below:
We are to find the new price.
The percentage decrease = 22%
Hence:
£ 145 × 22% = £31.9
The new price is:
£145 − £31.9 = £113.1
Answer:
56 mins
Step-by-step explanation:
Number of gallons of water in the pool per minute;
750 divided by 35 = 150/7
Let the time needed to fill a 1,200 gallon pool be t.
t x 150/7 = 1,200
t x 21.42857142857143... = 1,200
t = 1,200/21.42857142857143
t = 56 mins
