Answer:
29
Step-by-step explanation:
Answer:
<h2>7:<u><em>
10.5</em></u>=2:3</h2>
Step-by-step explanation:
7/2=3.5
3*3.5=10.5
Which of these is the algebraic expression for "5 times the sum of 2 and y?" (1 point)
A. 5 ⋅ 2 + y
B. 2 + 5 ⋅ y
C. 2(5 + y)
D. 5(2 + y) ✔
______________
<h3>
Answer: 10,080</h3>
Explanation:
There are 8 letters so there are 8! = 8*7*6*5*4*3*2*1 = 40,320 permutations of those letters. However, the letters "O" and "L" show up twice each, so we must divide by 2! = 2*1 = 2 for each instance this happens.
So,
(8!)/(2!*2!) = (40,320)/(2*2) = (40,320)/4 = 10,080
is the number of ways to arrange the letters of "football".
The reason we divide by 2 for each instance of a duplicate letter is because we can't tell the difference between the two "O"s or the two "L"s. If there was a way to distinguish between them, then we wouldnt have to divide by 2.
Answer:
7 shirts
Step-by-step explanation:
The function for producing shirts is
f($) = 50 + 7.5(x), where x is the number of shirt
The function for selling shirts is
f($) = 15(x)
For there to be a profit, he must make more money selling the shirts than he spent on making the shirts
Therefore, 15(x) > 50 + 7.5(x)
15x > 50 + 7.5x
15x - 7.5x > 50
7.5x > 50
x > 6.67 shirts
To make a profit, Juan must sell at least 7 shirts
