This is pretty hard but um in decimal form it would make 0.9010162353515625, but to simplify it the answer would be 0.9
Answer:
option B
Step-by-step explanation:
Given in the question a complex fraction
<h3>Step1</h3>
To divide complex numbers, you must multiply by the conjugate. To find the conjugate of a complex number all you have to do is change the sign between the two terms in the denominator.
<h3>Step2</h3>
Distribute (or FOIL) in both the numerator and denominator to remove the parenthesis.
<h3>Step3</h3>
Simplify the powers of i, specifically remember that i² = –1.
<h3>Step4</h3>
<h3>Step5</h3>
simply
Answer: 80 ounces of yellow paint
Working:
As we know 2 ounces of yellow paint to 5 ounces of red paint, we can make a ratio:
2:5
Then we look at the question which says 200 ounces of red paint, so we replace the 5 ounces of red paint in the ratio with 200.
2:200
Then we figure out how much the 5 has been multiplied by to get to 200. We do this by doing
200 divide 5 = 40
Therefore we times the 2 ounces of yellow paint by 40 which gets us:
80:200
We can think of it as a fraction too to confirm our answer:
Simplify 80 / 200
We get 2 / 5.
If you need me to further explain something please just ask :)
Answer: The width is: " 10 in. " .
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Explanation:
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Consider a "rectangular prism".
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The formula for the Volume of a rectangular prism:
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V = L * w * h ;
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in which:
V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
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We want to solve for "w" (width) ;
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Given the formula:
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V = L * w * h ;
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Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
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→ V / (L * h) = ( L * w * h) / (L * h) ;
to get:
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→ V / (L * h) = w ;
↔ w = V / (L * h) ;
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Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
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→ w = (120 in.³) / (8 in. * 1.5 in.) ;
→ w = (120 in.³) / (12 in.²) ;
→ w = (120/12) in. = 10 in.
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Answer:
22
Step-by-step explanation:
