Dr. potter provides vaccinations against polio and measles. each polio vaccination consists of 444 doses, and each measles vaccination consists of 222 doses. last year, dr. potter gave a total of 606060 vaccinations that consisted of a total of 184184184 doses. how many polio vaccinations and how many measles vaccinations did dr. potter give last year? dr. potter gave polio vaccinations and measles vaccinations.

x - number of polio vaccinations

y - number of measles vaccinations:

x + y = 60    / * ( - 2 )

4 x + 2 y = 184

- 2 x - 2 y = - 120

+

4 x + 2 y = 184

2 x = 64

x = 64 : 2

x = 32

32 + y = 60

y = 60 - 32

y = 28

There were 32 polio and 28 measles vaccinations.

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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