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vitfil [10]
3 years ago
15

A typical lap around a track in the United States has length of 440 yards. How many lap would need to be complete to run a mile?

Mathematics
1 answer:
g100num [7]3 years ago
3 0

4 laps because a mile is 1,760 yards and the 440 laps need to be divided into 1,760 so 1,760/440 is 4 so four laps are needed to complete a mile

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Please help me with problem 1 of Properties of Multiplication with Whole Numbers
kobusy [5.1K]

This is the associative property, since any numbers can <em>associate </em>with each other, via the parentheses.

8 0
3 years ago
Pat shows that 16 1/2= the square root of 16. What is one possible way pat could have shown this correctly?
kifflom [539]
<h3>Answer: Choice C</h3>

The base 16 is the same as 4*4.

From there, the rule (a*b)^c = a^c*b^c is used to get (4*4)^{1/2} = 4^{1/2}*4^{1/2}

Afterward, the exponents are added getting 1/2+1/2 = 2/2 = 1. The rule is a^b*a^c = a^{b+c} which only works if the bases are both the same.

6 0
3 years ago
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
erma4kov [3.2K]

Answer:

y =  x² - 8x + 17

Step-by-step explanation:

Recall this formula:

y = a(x-h)² + k

Original equation was y = x², which in this form looks like

y = 1(x - 0)² + 0

If the shape of the graph didn't change, that means that a (the compressor/intensifier) stayed the same (a - value) meaning we can write the equation as..

y = (x-h)² + k

Remember, (h, k) is the vertex, which looking from your graph is at (4, 1)

y = (x - 4)² + 1

y = x^2- 8x + 16+1

y = x² - 8x + 17

8 0
3 years ago
Cost, Revenue, Profit
Anika [276]

Answer:

1. C(n) = 2.25n + 120

2. R(n) = 3.51n

3. P(n) = 1.26n - 120

1. 96 frozen bananas must be sold in order to make a positive profit.

2. In order to make a profit, I have to sell a minimum of <u>96 frozen bananas</u>.

Step-by-step explanation:

1. Write a function, C(n), to represent your total costs for the week if you sell n frozen bananas.

Total cost is the addition of total variable cost and total fixed cost. Therefore, the function is as follows:

C(n) = 2.25n + 120

Where 2.25n is the total variable cost while 120 is the total fixed cost.

2. Write a function, R(n), to represent the revenue from the sale of n frozen bananas during the week.

Revenue is equal to selling price per unit multiplied by the number of units sold. Therefore, the function is as follows:

R(n) = 3.51 * n

R(n) = 3.51n

Where 3.51 is the selling price per unit while n the number of units sold.

3. Write a function, P(n), that represents the profits for selling n frozen bananas in a given week.

Profit is equal to total revenue minus total cost. Therefore, the function can be derived as follows:

P(n) = R(n) - C(n)

P(n) = 3.51n - 2.25n + 120

P(n) = 1.26n - 120

1. How many frozen bananas must you sell in order to make a positive profit? Write your answer as a whole number.

This can be obtained by equating the profit function to zero and solve for n as follows:

P(n) = 0 => 1.26n - 120 = 0

Therefore, we have:

1.26n = 120

n = 120 / 1.26

n = 95.2380952380952 frozen bananas

Writing it as a whole number, we have:

n = 95 frozen bananas

However, using this whole number will result in a negative profit by substituting it into the profit function as follows:

P(n) = (1.26 * 95) - 120 = -$0.30

Therefore, n has to be increased by one to 96 which is also a whole number to have a positive profit as follows:

P(n) = (1.26 * 96) - 120 = $0.96

Therefore, 96 frozen bananas must be sold in order to make a positive profit.

2. Complete the following sentence to explain the meaning of #1:

In order to make a profit, I have to sell a minimum of <u>96 frozen bananas</u>.

7 0
3 years ago
How do I do this. Due tomorrow
kolbaska11 [484]
I prefer D.

It's clear that Kevin took (1/4)x.
Keith took (1/4)x -> kevin's amount
                 * 2      -> twice.
                 -1       -> 1 less.

So Kevin + Keith = (1/4)x + (1/4)x * 2 - 1 = (3/4)x - 1.
3 0
3 years ago
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