15 points! the graph shows the total distance hope walked for different numbers of hours last week. which statement is true? check all that apply. make sure you choose multiple answers! (a) the constant of proportionality can be found by dividing a y-value by its corresponding x-value. (b) the constant of proportionality can be found by dividing an x-value by its corresponding y-value. (c) the constant of proportionality is 3. (d) the constant of proportionality is 5.

(A) The constant of proportionality can be found by dividing a y-value by its  

corresponding x-value.

(C) The constant of proportionality is 3.

Step-by-step explanation:

constant of proportionality

y=kx

y/x =k

y=9

x=3

k = 9/3 =3

(A) The constant of proportionality can be found by dividing a y-value by its  

corresponding x-value.

y/x =k

TRUE

(B) The constant of proportionality can be found by dividing an x-value by its  

corresponding y-value. FALSE  

(C) The constant of proportionality is 3.   TRUE

(D) The constant of proportionality is 5.FALSE

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.

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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