For all the answers I will assume that all buttons both green and blue must be used.
For the first question we will start by searching all the divisors of 16;
16: 1, 2, 4, 8, 16
We will think about the numbers of green buttons that can be used as the divisors of 16. We will check if t<span>he dividend of 16 to its divisors is a divisor for 56.
</span>
1 => 16 vests with 1 green button 56/16 = 3.5
2=> 8 vests with 2 green buttons 56/8 = 7
4=> 4 vests with 4 green buttons 56/4 = 14
8=> 2 vests with 8 green buttons 56/2 = 28
16=> 1 vest with 16 green buttons 56/1 = 56
From all the above results we concluded that Lee can make:
8 vests with 2 green buttons and 7 blue buttons
4 vests with 4 green buttons and 14 blue buttons
2 vests with 8 green buttons and 28 blue buttons
1 vest with 16 green buttons and 56 blue buttons
For the second question, the <span>greatest number of vests represents the greatest common divider of 16 and 56.
</span>First, we break into prime factors
16 = 2^4
56 = 2^3 *7
The greatest common divider is 8.
<span>Lee can make 8 vests and each one will have 2 green buttons and 7 blue buttons (16/8=2 and 56/8=7)</span>
Answer:
x=3/4,y=5/2
Step-by-step explanation:
y=-x^2+4,y=2x+1
substitute y=-x^2+4 as y for y=2x+1
2x+1=-x^2+4, x=3/4(isolate "x")
x=3/4
substitute x=3/4 for 2x+1=-x^2+4
y=2*3/4+1
y=5/2
x=3/4, y=5/2
hope this helps!
Answer: All real numbers
Step-by-step explanation: The domain should be all real numbers, there are no restrictions
Answer:
12*12= 144 + 81= 225. 255/15= 15. Yes, this is a right triangle. I do not understand the question itself, but I hope this will help
Step-by-step explanation:
Answer:
Total Cost, C=$(16S +56)
Step-by-step explanation:
Chris buys 8 more Ninja Turtles than Star Wars action figures.
Cost of each Ninja Turtle = $7
Cost of each Star Wars = $9
Let number of Star Wars bought = S
As per question statement, number of Ninja Turtles bought = S+8
Cost of 'S' number of Star Wars = Number of Star Wars bought 
cost of each Star Wars
Total cost of Star Wars bought = S 9 or $9S
Similarly, Cost of 'S+8' number of Ninja Turtles = Number of Ninja Turtles bought cost of each Ninja Turtles
Total cost of Ninja Turtles bought = (S+8) 7 or $(7S +56)
Total Cost of the purchase = Total cost of Star Wars Bought + Total cost of Ninja Turtles bought
Total Cost of the purchase, C = 9S + (7S +56)
