Find the common ratio for the following sequence. 64, 16, 4, 1, -4 -1/4 1/4 4

Step-by-step explanation:

THe sequence 64,16,4,1 as you can see it´s actually going down or decreasing, so the ratio should be a fraction, in order to find that you just have to pair two terms that are next to eachother in the sequence to find the fraction, let´s try it with the first two: 64 and 16:

So the ratio is 1/4. You can confirm the ratio by using other numbers in the sequence, like the last two:

This is the ratio directly.

step-by-step explanation:

6.48/4 4 goes into 6.48 1.62 times

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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