Answer:
-----×1/72
Step-by-step explanation:
The <em>order of operations</em> says do these operations in order left to right. Please note that ÷ means the same as / unless you define it otherwise in your problem statement.
If you intend the ÷ symbol to be used to indicate everything to its left is divided by everything to its right, it is appropriate to use parentheses for that grouping, as in ...
(-----×1/4)÷(6×3/9) = (-----×1/4)÷2 = -----×1/8
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Here, we're going to evaluate what you have written according to the usual rules as described above.
(-----×1/4)÷6×3/9 = -----×1/24×3/9 = -----×(3/24)/9
= -----×1/8/9
= -----×1/72
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<em>Comment on the arithmetic</em>
Fractions are multiplied and divided in the usual way:
a/b×c = (a×c)/b
a/b/c = (a/b) × (1/c) = a/(b×c)
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<em>Comment on fractions and parentheses</em>
Please note that parentheses are required on any numerator or denominator that consists of anything other than a single number or variable. (The exception is the case where the numerator is a product, because a·b/c = (a·b)/c with or without the parentheses.)
Answer:
Then it would be the other way around 19 ≥ k + 6
Wait for more responses if needed.
The area of a triangle is A=1/2b*h
You have the base (b) and you have the area (A)
So, if you plug in what you know, you get this:
45.5=1/2*10*h
Simplify it:
45.5=5h
Now solve for h
Divide by 5 to get h alone:
9.1=h
Your height is 9.1cm
Hope this helps :)
Answer:
The solution to the given expression is 1/2562890625
Step-by-step explanation:
(3⁴ × 5⁴)⁻²
Simplify the terms inside the parentheses. 3⁴ × 5⁴ is the same as 15⁴ because even though the base numbers are different, the exponents are the same which makes it similar.
(15⁴)⁻²
Now, for this step, we are going to add the exponents because when multiplying, the exponential numbers add together. So 4 × -2 = -8.
15⁻⁸
Since we can not have a negative exponent, we are going to change this into a fraction. We do this by putting this term in a fraction where 1 is the numerator and the term is the denominator.
1 / 15⁻⁸
Now, we simplify the term on the bottom.
1 / 2562890625
So, this is the solution to the problem.
Answer:
5/7.
Step-by-step explanation:
Convert to slope-intercept form:
5x – 7y = 9
Subtract 5x from both sides:
-7y = -5x + 9
Divide through by -7:
y = (-5/-7) x + -9/7
y = 5/7 x - 9/7
The slope is 5/7.
