Answer: First, turn the mixed fraction 16 1/4 into a improper fraction. It would become 65/4
x+65/4=64
Next, I would multiply the entire equation by 4 to get rid of the fraction
It would become 4x+65=256
Now solve for X
4x=191
x=191/4
x=47.75
Step-by-step explanation:
Answer:
9, 13, 17, 21,25
Step-by-step explanation:
n=1, 4×1+5=9
n=2, 4×2 +5=13
::
:
n=5, 4×5 + 5= 25
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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Answer:
<h2><em><u>Transversal</u></em></h2>
Step-by-step explanation:
<em><u>A transversal is a line that passes through two lines in the same plane at two distinct points. </u></em>
Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel.
Eight angles of a transversal.
Answer:
40% of the bottle of apple juice is water
75% of the bottle of orange juice is water
Step-by-step explanation:
this is to find the percentage of apple juice that is water
(32 ÷ 80) × 100
you have to multiply by 100 because you are looking for the percentage
32÷ 80 is 2/5
2/5 × 100 is 40%
this is to find the percent of orange juice that is water
(48÷64) × 100
48 ÷ 64 is 3/4
3/4 × 100 is 75%