Suppose you had d dollars in your bank account. you spent $21 but have at least $53 left. how much money did you have initially? write and solve an inequality that represents this situation.

a. d + 21 ≥ 53; d ≥ 95

b. d – 21 ≥ 53; d ≥ 74

c. d + 21 ≤ 53; d ≤ 95

d. d – 21 > 53; d > 74

D. d – 21 > 53; d > 74

Step-by-step explanation:

x−21≥53

x−21+21≥53+21

x≥74

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116