Answer:
1
Step-by-step explanation:
A function that would represent profit based on the number of cups of lemonade is Profit = 1.5n - 14
<u>Solution:</u>
Given, Some kids are selling lemonade for $1.50 per cup at a high school baseball game.
They spent $14 on all of the items needed for the lemonade stand (cups, lemonade, table oth, sign, etc)
We have to create a function that would represent profit based on the number of cups of lemonade
Now, let the number of cups sold be "n"
Then , we know that,<em> profit = selling price – cost price </em>
Profit = number of cups sold x price per cup – cost price
Profit = n x $ 1.5 – $ 14
Profit = 1.5n – 14
Hence, the function is Profit = 1.5n - 14
Answer:
408 cm^3
Step-by-step explanation:
You have to find the volume of each object individually. You first find the volume of the sphere, so you input the radius, which is 3, into the equation which comes out to be 108 cm^3. You then have to find the volume of the cylinder, and since you have the diameter of the cylinder, and you need the radius, and the radius is half of the diameter, you would input 5 into the equation as the radius, since half of 10 is 5. That comes out to be 300 cm^3, so then you add the two volumes together, which is 408 cm^3
The work has one step: divide the expression by 3.
.. -4 > x
Because the symbol is "greater than", the circle at x=-4 is an open circle.
First of all, the modular inverse of n modulo k can only exist if GCD(n, k) = 1.
We have
130 = 2 • 5 • 13
231 = 3 • 7 • 11
so n must be free of 2, 3, 5, 7, 11, and 13, which are the first six primes. It follows that n = 17 must the least integer that satisfies the conditions.
To verify the claim, we try to solve the system of congruences
Use the Euclidean algorithm to express 1 as a linear combination of 130 and 17:
130 = 7 • 17 + 11
17 = 1 • 11 + 6
11 = 1 • 6 + 5
6 = 1 • 5 + 1
⇒ 1 = 23 • 17 - 3 • 130
Then
23 • 17 - 3 • 130 ≡ 23 • 17 ≡ 1 (mod 130)
so that x = 23.
Repeat for 231 and 17:
231 = 13 • 17 + 10
17 = 1 • 10 + 7
10 = 1 • 7 + 3
7 = 2 • 3 + 1
⇒ 1 = 68 • 17 - 5 • 231
Then
68 • 17 - 5 • 231 ≡ = 68 • 17 ≡ 1 (mod 231)
so that y = 68.
