Answer:
1. YES 2. NO
Step-by-step explanation:
1. Since x=0.121212... and the question is asking for 100x, we need to multiply each side by 100. 0.121212... multiplied by 100 is 12.1212... So YES, 100x is still a repeating decimal.
2. 12.121212... minus 0.121212... would just be 12. This is because if we know that all the numbers behind the decimal point is 0.121212 and so on, 12.121212... minus 0.121212... the numbers behind the decimal would cancel out. So we are left with 12. So NO, the answer for 99x is NOT a repeating decimal.
Answer: x = 4
Step-by-step explanation:
5x + 34 = -2(1 - 7x)
5x + 34 = -2 + 14x Multiply -2 to 1 and -7x
5x + 36 = 14x Add 2 to both sides
36 = 9x Subtract 5x to both sides
4 = x Divide 9 to both sides
Answer:
Jon Applebe withdrew 37.15% of the amount he initially deposited.
Step-by-step explanation:
Given that Jon Applebee deposited $ 619 in his savings account, and I have later withdrew $ 230, to determine the integer that represents the amount Jon Applebee deposited the following calculation must be performed:
619 = 100
230 = X
230 x 100/619 = X
23,000 / 619 = X
37.15 = X
Therefore, Jon Applebe withdrew 37.15% of the amount he initially deposited.
1st let's calculate r the common ratio:
r = (-20)/4 = (100/-20) = -5
Value of nth term = a₁.rⁿ⁻¹, where a₁= 1st term and n, the rank
Value of nth term = 4r⁽⁷⁻¹⁾ = 4.(-5)⁶
Value of nth term = 62,500
Answer:
As shown in picture,
Angle CDF = Angle BDE = 54 deg (pair of opposite angles)
Angle CDB = 180 - CDF = 180 - 54 = 126 deg (BF is a diameter).
=> Arc CB = Angle CDB = 126 deg (property of angle on circle)
Hope this helps!
:)
