Answer:
Step-by-step explanation:
Compare the powers, p = 6
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:
21.42
Step-by-step explanation:
Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42
Answer: 147°
Step-by-step explanation:
A straight line is equal to 180° which means we can subtract 33° to find the value of <em>x</em>.
180° - 33° = 147°
<em>x</em> = 147°
Answer:
15
Step-by-step explanation:if you take a way five from 20 you get 15 because 20-5 is 15
if you start at 1 and go to twenty 5 before that is 15
