Answer:
1/14, 4/5, 1 2/9
Step-by-step explanation:
1/14 is the smallest, 4/5 comes next, and 1 2/9 is the greatest.
Answer: Joe's weekly allowance = $12
Step-by-step explanation:
Joe spent half of his weekly allowance playing mini-golf
Let a = his weekly allowance
This means Joe spent a/2 playing mini-golf.
To earn money, his parents let him weed the garden for $6
This means Joe's total money
= a + 6
What is his weekly allowance if he ended with $12?
This means he had $12 left after spending a/2 from ta total of (a +6)
Therefore,
(a +6) -a/2 = 12
Taking LCM of 2
[2(a+6)-a]/2=12
Cross multiplying by 2
2a + 12-a = 24
a+12 =24
a = 24-12 =$12
Joe's weekly allowance = $12
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:
(A) x=40
Step-by-step explanation:
Given: It is given that m is parallel to n.
To find: The value of x.
Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.
Thus, 
⇒
⇒
⇒
⇒
Thus, the value of x is 40, hence option A is correct.
