Hey there! I'll only explain you how to solve it and you'll have to find the answer yourself so you learn! <3 Anyhow, To simplify a complex fraction here are the steps.
(1) Convert mixed numbers to improper fractions.
(2) Reduce all fractions when possible.
(3) Find the least common denominator (LCD) of all fractions appearing within the complex fraction.
(4) Multiply both the numerator and the denominator of the complex fraction by the LCD.
(5) When possible reduce, simplify and convert to mixed numbers, any final fraction results.
Hope this helps! <3
Answer:
16. D
17. 5^-1 · 5^-1 and 25^-1
8^0 · 8^3 and 8^3
Step-by-step explanation:
When you multiply two same numbers with exponents, just think of it as adding up exponents.
When you divide two same numbers with exponents, just think of it as subtracting exponents.
If a parenthesis has an exponent outside, then every exponent inside the parenthesis will be multiplied by that outside parenthesis.
(5^-1)^-2 · 5^3 ÷ 5^7
5^2 · 5^3 ÷ 5^7
5^5 ÷ 5^7
5^-2
When exponents are negative, you have to flip them or put them on the other side
5^-2 = 1/5^2 = 1/25
Let's try to find the equivalent pairs
6^7 ÷ 6^-2 = 6^5
6^9 = 6^5 Not equivalent
(6^3)^0 = 6
6^0 = 1 (Any number with a zero exponent is always 1)
1 = 6 Not equivalent
5^-1 · 5^-1 = 25^-1
5^-2 = 25^-1
Flip em
1/5^2 = 1/25
1/25 = 1/25 Equivalent
8^0 · 8^3 = 8^3
8^3 = 8^3 Equivalent
4^-3 ÷ 4^2 = 4^5
4^-5 = 4^5 Not equivalent
Answer:
=> x° + 57° + (43°+24°) = 180° ------------ (angle sum property of ∆)
=> x° + 57° + 67° = 180°
=> x° + 124° = 180°
=> x° = 180° — 124°
<h2>
=> x° = 56°</h2>
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=> x° + y° + 43° = 180° ------------- (angle sum property of ∆)
=> 56° + y° + 43° = 180°
=> y° + 99° = 180°
=> y° = 180° — 99°
<h2>
=> y° = 81°</h2>
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=> y° + z° = 180° ------------- (Linear pair)
=> 81° + z° = 180°
=> z° = 180° — 81°
<h2>
=> z° = 99°</h2>
Step-by-step explanation:
so,
<h2>x° = 56°</h2><h2>y° = 81°</h2><h2>z° = 99°</h2>
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A simple way to find out:
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Answer: They will take 3 3/4 hours to paint the room together.
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A more detailed explanation:
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Alice:
6 hours = 1 room
1 hour = 1/6 of the room
Tom:
10 hours = 1 room
1 hour = 1/10 of the room
Alice and Tom together:
1 hour = 1/6 + 1/10 = 4/15 of the room
4/15 of the room = 1 hour
1/15 of the room = 1 ÷ 4 = 1/4 hour
15/15 of the room = 1/4 x 15 = 15/4 = 3 3/4 hours
Answer: They will take 3 3/4 hours to paint the room together.
Answer:
690,000 thanks for asking