suppose you had x dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially? write and solve an inequality that represents this situation.
a) x + 22 ≤ 28 ; x ≤ 72
b) x - 22 ≥ 28 ; x ≥ 50
c) x - 22 > 28 ; x > 50
d) x + 22 ≥ 28 ; x ≥ 72

B

Step-by-step explanation:

spent 22 ---> x - 22.

at least 28 left ---> (x - 22) >= 28

SOLVE:

x - 22 >= 28

x >= 50

B) x - 22 ≥ 28 ; x ≥ 50

Step-by-step explanation:

Given,

The original amount in the bank = x dollars,

After spending $ 22,

Remaining amount = ( x - 22 ) dollars,

∵ Remaining amount must be at least $ 28,

⇒ x - 22 ≥ 28

Which is the required inequality,

Add 22 both sides,

x -22 + 22 ≥ 28 + 22

x ≥ 50

Hence, option B is correct.

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

5x+10 is the correct one

hope this