Solution:
<u>Note that:</u>
<u>Using cross multiplication:</u>
- (3x)/20 = (4x + 2)/28
- => (3x) × 28 = (4x + 2) × 20
<u>Simplifying both sides:</u>
<u>Subtracting 80x both sides:</u>
- 84x = 80x + 40
- => 84x - 80x = 80x + 40 - 80x
<u>Simplify the LHS:</u>
- => 84x - 80x = 40
- => 4x = 40
- => x = 10
The simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)
<h3>How to simplify the expression?</h3>
The algebraic statement is given as:
(x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6
Rewrite the algebraic statement as:
[(x^0 y^2/3 z^-2y)^2/3]/[(x^2 z^1/2)^-6]
Evaluate the like factors
[(x^0 y^(2/3+1) z^-2)^2/3]/[(x^2 z^1/2)^-6]
Evaluate the sum
[(x^0 y^5/3 z^-2)^2/3]/[(x^2 z^1/2)^-6]
Expand the exponents
[(x^(0*2/3) y^(5/3 * 2/3)z^(-2*2/3)]/[(x^(2*-6) z^(1/2*-6)]
Evaluate the products
[(x^0 y^(10/9) z^(-4/3)]/[(x^(-12) z^(-3)]
Apply the quotient law of indices
x^(0+12) y^(10/9) z^(-4/3+3)
Evaluate the sum of exponents
x^(12) y^(10/9) z^(-1/3)
Hence, the simplified expression of (x^0 y^2/3 z^-2y^)^2/3 divided by (x^2 z^1/2)^-6 is x^(12) y^(10/9) z^(-1/3)
Read more about simplified expression at:
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Answer: $340
Step-by-step explanation:
$800 - $120 = $680
1/2 of $680 is $340
Hope this helps!
Answer:
615.44 m²
Step-by-step explanation:
3.14(14)²= 615.44 m²
Answer:
A.y=7
B.y’=5
C.y=20
D.y’=1/2
E.y=4x+10
F.y=28x
