Please help me , thank you
2 answers:
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Answer:
Richard used of fabric for his project.
Step-by-step explanation:
Given:
Total amount of fabric =
Now To convert a mixed fraction to an improper fraction, Multiply the whole number part by the fraction's denominator, Add that to the numerator,Then write the result on top of the denominator.
can be Rewritten as
Number of pieces fabric was cut = 4
Richard is given one of four pieces of equal-sized fabric.
Amount of fabric Richard was given =
Amount of fabric left with Richard =
We need to find the amount of fabric Richards used for his project.
Solution:
Now we can say that;
amount of fabric Richards used for his project is equal to Amount of fabric Richard was given minus Amount of fabric left with Richard.
framing in equation form we get;
amount of fabric Richards used for his project =
Now we will make the denominator common using LCM we get;
amount of fabric Richards used for his project =
Now Denominator is same so we will solve the numerator.
amount of fabric Richards used for his project =
can be rewritten as
Hence Richard used of fabric for his project.
13,207,982,634 x⁵y⁶
Step-by-step explanation:
We understand that in Binomial Theorem, expounding of polynomial functions, we have a rule that also involves the use of Pascal's Triangle to find the Coefficients that will be used to multiply each variable as the polynomial function is multiplied by itself several times;
(3x + 7y)^11 = ₁₁C₀ (3x)¹¹(7y)⁰ + ₁₁C₁ (3x)¹⁰(7y)¹ + ₁₁C₂ (3x)⁹(7y)² + ₁₁C₃ (3x)⁸(7y)³ + ₁₁C₄ (3x)⁷(7y)⁴ + ₁₁C₅ (3x)⁶(7y)⁵ + ₁₁C₆ (3x)⁵(7y)⁶....
The 7th term in our case is;
₁₁C₆ (3x)⁵(7y)⁶
According to the attached Pascals Triangle, the coefficient for our term should be 462, so;
462 (3x)⁵(7y)⁶
= 462 (243x⁵) (117,649y⁶)
= 13,207,982,634 x⁵y⁶
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