Answer:
B
Step-by-step explanation:
Since the inequality sign is greater than or equal to, we need a solid line with the color filled at the top of the graph. This already eliminates answer choice A or D.
Since we know it has to have a solid line, the answer is B.
Answer:
a. x = 5, m∠FGH = 22°
b. m∠HGI = 22°
c. m∠FGI = 44°
Step-by-step explanation:
Since GH bisects FGI this means it divides the angle in two equal parts.
a. solving for x means equating them:
5x-3 = 6x-8 =>
5x - 6x = 3 - 8 =>
x = 5.
Both m∠FGH and m∠HGI are 5*5-3 = 22°
c. Add both angles: m∠FGH + m∠HGI = 44°
Answer: the number of cookies sold must be greater than or equal to 800
Step-by-step explanation:
Let x represent the number of cookies made and sold in a month.
The cookie factory has a fixed cost of $300 per month plus $.45 for each cookie. This means that the total cost of producing x cookies in a month would be
300 + 0.45x
Each cookie sells for $.95. This means that the total revenue from selling x cookies would be
0.95x
Profit = Revenue - cost
Therefore, the number of cookies that must be sold during one month for the profit to be at least $100 would be
0.95x - (300 + 0.45x) ≥ 100
0.95x - 300 - 0.45x ≥ 100
0.95x - 0.45x ≥ 100 + 300
0.95x - 0.45x ≥ 100 + 300
0.5x ≥ 400
x ≥ 400/0.5
x ≥ 800
Answer:
y=1/4x-1
Step-by-step explanation:
There are 16 cups in 1 gallon so you would have to turn the denominator in the fraction into a 16 meaning you would multiply by 4 (because 4 goes into 16, 4 times). Your new fraction is 12/16. now you do 6 gallons*16 cups and you get 96 cups. Then you add the fraction onto 96 and you would be adding 12. Your final answer is 108 cups in 6 3/4 gallons
