The solution set of |r - 3| = 10 is {7, 13} {-7, 13} {-13, 13}

{-7, 13}

Step-by-step explanation:

|R - 3| = 10

There are two cases, one positive and one negative

R - 3 = 10  and R-3 = -10

Add 3 to each side

R - 3+3 = 10+3  and R-3+3 = -10+3

R = 13                       R = -7

The solution set is {-7, 13}

51

step-by-step explanation:

73-22=51 the   mass number minus the amount of protons gives you the amount of neutrons

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3