A factory sells backpacks for $35 each. The cost to make 1 backpack is $15. In addition to the cost of making backpacks, the factory has operating expenses of $11,000 per week. The factory's goal is to make a profit of at least $7,800 per week. Write and solve an inequality that represents the number of backpacks, x, that need to be sold? *

9400 backpacks

Step-by-step explanation

since the number of packs to be sold in a  is represented by x,

selling price for 1 week = 35x

cost price for 1 week = 15x

profit = 35x-15x = 20x

additional cost of production = 11,000

this implies that 20x - 11,000 7800

20x - 11,000 7,800

20x 7800+ 11000

20x 18,800

x 18800/2

x 9,400

at least 9,400 packs have to be sold each week to make a profit of $7800

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8

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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