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
___
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.
Answer: After 1 year: $5,610
After 2 years: $5,722.20
Step-by-step explanation: Use the formula for periodic compounding interest, which is
A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.
Here, P = 5,500, r = 0.02 (that's 2% as a decimal), n = 1,
t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)
Plug the known values in to solve...
For 1 year...
A = 5,500(1 + 0.02/1)^(1*1)
A = 5,500(1.02)^1
A = 5,610
For 2 years...
A = 5,500(1 + 0.02/1)^(1*2)
A = 5,500(1.02)²
A = 5,722.20
Answer:
900
Step-by-step explanation:
5 people are said to occupy a 1000square feet space
That means we have to look out for how many 1000 square feets are in 180000
That would be 180000/1000 = 180
But 1000 square occupies 5 persons and there are 180 1000square which can occupy 5 people in 180 000 square.
Hence 180 × 5= 900 is the number of persons that the hall can occupy.
Answer:
I got one
Step-by-step explanation:
C.converse of the corresponding angles postulate
∠1 = 58° ( alternate angles )
HOPE THIS HELPS:)
STAY SAFE
∠1 and ∠2 form a straight angle and are supplementary, thus
∠2 = 180° - 58° = 122°
Answer:
8x=32
Step-by-step explanation:
