Mixed number is a whole number and a fraction in the same number such as
2 2/3
Answer:
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Answer:
Step-by-step explanation:
A.) 2a+4b-c: Replacing a with 2, b with 3 and c with 4, we get:
2(2) + 4(3) - (4) = 4 + 12 - 4 = 12
B.) 6(a+c)-b: Replacing a with 2 and c with 4, we get 6(2 + 4) - 3.
The work inside parentheses should be done first, resulting in 6(6) - 3.
This comes out to 33.
Answer:
x=9 y=12.7
Step-by-step explanation:
Side A= 9
Side B= 9
Side C= 12.7
Answer:
CE = 35
Step-by-step explanation:
Based on the Triangle Proportionality Theorem, BD divides AC and CE proportionally. This implies that:
BC:AB = DC:DE
Plug in the values
(x - 5)/6 = 14/(2x + 3)
(x - 5)(2x + 3) = 14*6
x(2x + 3) -5(2x + 3) = 84
2x² + 3x - 10x - 15 = 84
2x² - 7x - 15 - 84 = 0
2x² - 7x - 99 = 0
Factorize
2x² - 18x + 11x - 99 = 0
2x(x - 9) +11(x - 9) = 0
(2x + 11)(x - 9) = 0
2x = -11
x = -11/2
Or
x = 9
Let's take the positive value of x
Thus:
CE = 14 + 2x + 3
Plug in the value of x
CE = 14 + 2(9) + 3
CE = 14 + 18 + 3
CE = 35
