Answer:
Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.
Step-by-step explanation:
Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.
4/9 is basically obtained when we multiply the denominator of 2/3 by 2 and denominator by 3, which is wrong.
Thus, the correction is as follows:
Given the fraction

Multiply the nominator and denominator of the fraction by 2

Thus, the 4/6 is the correct equivalent expression of 2/3.
Answer:
280 trees on a 1.5 acre plot
Step-by-step explanation:
It has more trees with less acres already without any calculations.
Answer:
mark brainliest :)
Step-by-step explanation:
16 ^ 1.5 (or 3/2) = 64
64 ^ 0.5 (or 1/2) = 8
8 should be your answer
Answer:
The solution is x = e⁶
Step-by-step explanation:
Hi there!
First, let´s write the equation
ln(x⁶) = 36
Apply logarithm property: ln(xᵃ) = a ln(x)
6 ln(x) = 36
Divide both sides of the equation by 6
ln(x) = 6
Apply e to both sides
e^(ln(x)) = e⁶
x = e⁶
The solution is x = e⁶
Let´s prove why e^(ln(x)) = x
Let´s consider this function:
y = e^(ln(x))
Apply ln to both sides of the equation
ln(y) = ln(e^(ln(x)))
Apply logarithm property: ln(xᵃ) = a ln(x)
ln(y) = ln(x) · ln(e) (ln(e) = 1)
ln(y) = ln(x)
Apply logarithm equality rule: if ln(a) = ln(b) then, a = b
y = x
Since y = e^(ln(x)), then x =e^(ln(x))
Have a nice day!
The steps in evaluating each of the following expressions is shown below.
<h3>What is an expression?</h3>
An expression can be defined as a mathematical equation which shows the relationship existing between two or more numerical quantities or variables.
<h3>How to evaluate the given expressions?</h3>
15 - 35/7 - 2 + 3 - 4
15 - (35/7) - 2 + 3 - 4 (bracket and division)
15 - 5 - 2 + 3 - 4 (regroup)
15 + 3 - 5 - 2 - 4 (subtract and add)
18 - 11 = 7.
<h3>Expression 2.</h3>
10 + 2(9 - 5) - 16/18
10 + (2 × 4) - 8/9 (bracket and division)
10 + 8 - 8/9 (add)
18 - 8/9 (subtract)
162/9 - 8/9 = 17 1/9 or 154/9.
Read more on expressions here: brainly.com/question/12189823
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<u>Complete Question:</u>
Show your steps in evaluating each of the following expressions. The steps count 4 points each, the answer is 1 point.
A. 15 - 35/7 - 2 + 3 - 4
B. 10 + 2(9 - 5) - 16/18