Answer:
- 1 grams of one of the alloy; and
- 7 grams of the other corresponding alloy.
Step-by-step explanation:
The ratio between the gold and silver in the first piece = 2:3
The ratio between the gold and silver in the second piece =3:7
The ratio in the mixture = 5:11
We want to have 8 gram of the new mixture.
Let the gram of alloy taken from the first piece=x
Therefore: gram of alloy would be taken from the second piece=(8-x)
This gives:

We simplify the equation above for the value of x.

Therefore to create 8 gram of gold and silver alloy with gold-silver ratio 5:11, we take 1 grams of one of the alloy and 7 grams of the other alloy.
Answer:
Ask people who live in different neighborhoods throughout the city.Step-by-step explanation:
Answer:
3(5-7)=4
Step-by-step explanation:
The appropriate method to use in solving the given question is permutation. Then, the numbers of ways to arrange the buttons is 1320 ways.
In the given question, the order of arrangement is important, so that the number of ways that Fiona could order the buttons can be determined by permutation method.
i.e 
= 
Red 6
Green 3
Yellow 3
Total 12
Since no two neighbouring buttons of the same colour is allowed, then 3 buttons would be arranged at a time.
Thus, n = 12 and r = 3;

= 
= 
= 
= 12 x 11 x 10

= 1320
Therefore the buttons can be arranged in 1320 ways without two neighbors having the same colour.
Visit: brainly.com/question/1408616
Answer:
x + 18 + 28/x
Step-by-step explanation:
You first have to factor the expression that represents the area using the AC method.
When done factoring, you should get the expression (x + 4)(x + 7).
From there you divide that by x + 7 to get the length
(x + 4)(x + 7) / x + 7 = x + 18 + 28/x.
This may not be the correct answer, but I believe this is correct.
If you wish to do it quicker, you can just divide the entire expression of the area by the expression of the length, but if you were writing it down on paper, I suggest factoring it out.