Answer:
B. 
Step-by-step explanation:
Let n be the number.
We are asked to write an mathematical expression for the given word phrase.
One third of a number, n, would be 
.
Two more than one third of a number, n, would be 
.
We are told that Two more than one-third of a number is 8. We can represent this information in an equation as:
Therefore, option B is the correct choice.
Answer:
The correct option is C
Step-by-step explanation:
The organizers of a fair projected a 25 percent increase in attendance this year over that of last year
Let x = the attendance for last year
The projected attendance for this year would be last year's attendance + 25% of last year's attendance. This means
Projected attendance for this year
= x + 25/100 × x
= x + 0.25x = 1.25x
But attendance for this year actually decreased by 20 percent.
This means the actual attendance for this year would be
attendance for last year - 20% of attendance for last year. This means
Actual attendance for this year is
x - 20/100 × x
= x - 0.2x = 0.8x
percentage of the projected attendance that was the actual attendance would be
0.8x / 1.25x × 100 = 0.64 × 100
= 64%
The correct option is C
Answer: The correct option is first, the number of basketball hoops did the company previously produce to make the same profit is 1.3 million hoops.
Explanation:
Let the number of basketball hoops did the company previously produce to make the same profit be x.
Total Revenue = Price * Quantity
The total revenue in million dollars is,
The total cost in million dollars is,
Total Cost = One unit cost * Quantity
Profit = Total Revenue - Total Cost
The profit is 15 million.
The value of x is 1 and 
.
The production is always positive therefore the value of x either 1 or 1.3. Since 1 million is not available in the options therefore the the correct optin is 1.3 million hoops.
Answer:
19 chicken wings
Step-by-step explanation:
For $39.10=23 chicken wings
For $1=23/39.10 chicken wings
For $32.30=23/39.10 x 32.30= 19 chicken wings
M< 6 = m< 7 (vertical angles)
11x + 8 = <span>12x – 4
12x - 11x = 8 + 4
x = 12
so
m< 6 = </span>11x + 8
m< 6 = 11(12) + 8
m< 6 = 132 + 8
m< 6 = 140
m<4 = 180 - m<6
m<4 = 180 - 140
m<4 = 40
answer
<span>m<4 = 40</span>
