How can you use partial quotients to find 684 divided by 57?

684 divided by 57=12

Step-by-step explanation:(with reference to the figure)

To find  684 divided by 57 by partial quotients .

Here dividend= 684 and divisor =57

Step 1: Write easy factors of divisor that is nearest to the dividend as follows

57×2=114

57×3=171

57×5=285

57×10=570(nearest easy factor)

Step 2: Now subtract 570 from 684 ,we get 114 then subtract 114=57×2 from it we get 0.

Step 3: Adding the factors we have used in step 1 and 2 ,it will give required quotient=10+2=12

i.e. 684=57(10)+57(2)

step-by-step explanation:

in which figure is point g a centroid

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

~