Chen is bringing fruit and veggies to serve at an afternoon meeting. he spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. the food cost is modeled by the equation , where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. if the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (round to the nearest cent.)

$1.75
$2.06
$2.39
$3.99

First Option

The approximate price of a pint of veggies is $1.75

Step-by-step explanation:

if v represents the cost of a pint of cut vegetables and f represents the cost of a pint of cut fruits then the equation that models the cost of "v" vegetables and "f" fruits is:

Where z represents the total cost of buying "v" vegetables and a "f" pints of fruits.

h represents the cost  of a pint of cut vegetables .

We know that the cost "z" of 5 vegetables pints and 7 fruits pints is $ 28.70

So:

We substitute these values into the equation and solve for h.

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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