Answer:
itself and numbers divisible by 7
Answer:
43% of the trip
Step-by-step explanation:
1. Create an Equation
300 miles/100*x percent=129 miles <=== Make an equation so you can find the percent she slept of the trip
2. Solve
300 miles/100*x percent=129 miles
3x=129 <=== 300 divided by 100 is 3 and 3 times x is also 3x
3x/3=129/3 <=== divide by 3 from both sides
x=43
Since x is 43 that means 129 equals 43% which is how much Tallulah slept
of the trip.
3. Check
300 miles/100*43%=129 miles <=== Substitute x with 43%
3x43%=129
129=129 <=== 129 is 129 which means that the answer is correct!
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Answer:
The number of elephant ears that must be sold to maximize profit is 400.
Step-by-step explanation:
Given that,
The profit that a vendor makes per day is given by
P(x)= - 0.004x² +3.2 x -200
where x is number of elephant ears.
P(x)= - 0.004x² +3.2 x -200
Differentiating with respect to x
P'(x)= - 0.008x+3.2
Again differentiating with respect to x
P''(x) = -0.008
For maximum or minimum P'(x)=0
- 0.008x+3.2=0
⇒0.008x=3.2

⇒ x = 400

Since at x=400, P''(x)<0, the profit is maximize.
P(400) = -0.004×400²+3.2×400-200
=440
The number of elephant ears that must be sold to maximize profit is 400.