Answer:
x = -1/2
Step-by-step explanation:
This question can be solved by applying the laws of indices
In a^n, a - base
n - index
Given
9^x = 1/3
According to the laws of indices, a/b = b^(-a)
Hence we can write, 1/3 = 3^(-1)
9^x = 3^(2x)
Again according to the laws of indices,
a^b = a^n can be written as;
b = n
That is, if in an equation the bases are the same, the indices are also equal.
So we can write,
3^(2x) = 3^(-1)
2x = -1
Divide both sides of the equation by 2, the coefficient of x
2x/2 = -1/2
x = -1/2
16 pints because 1 pint equals 2 cups each so multiply 16 x 2 which equals 32
Answer:
x = 10
Step-by-step explanation:
Since the parallelograms are similar then the ratios of corresponding sides are equal , that is
= ( cross- multiply )
6x = 60 ( divide both sides by 6 )
x = 10
Step-by-step explanation:
The amount of money Ben had to begin with after spending 1/6 and 1/2 of it is 57 dollars.
<h3>How to find the how much money he had with an equation?</h3>
let
x = amount he had to begin with
He spent 1/6 of his money on a burger, fries, and a drink. Therefore,
amount spent on burger, fries, and a drink = 1 / 6 x
Hence,
amount he had left = x - 1 / 6 x =6x - x /6 = 5 / 6 x
Then he spent half of the money he had left.
1 / 2(5 /6 x) = 5 + 8.25 + 10.50
5 / 12 x = 23.75
cross multiply
5x = 23.75 × 12
5x = 285
divide both sides by 5
x = 285 / 5
x = 57
Therefore, the amount of money he have to begin with is $57.
learn more on equation here: brainly.com/question/5718696
The Answer Is D (4hrs 25min)
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