Answer:
7 people purchase the items and they used 53 coins
Step-by-step explanation:
Let x represent the number of people.
Let y be the number of coins needed to purchase the items.
If each person pays 8 coins, the surplus is 3 coins. This is illustrated below:
8x = y + 3 (1)
if each person gives 7 coins, the deficiency is 4 coins. This is illustrated below:
7x = y — 4 (2)
Solving by elimination method: subtract equation(2) from equation (1). This is illustrated below:
8x = y + 3 (1)
— (7x = y — 4) (2)
x = 7.
Next, Substituting the value of x into any of the equation to obtain y. In this case I will be using equation 1 as illustrated below:
8x = y + 3 (1)
8(7) = y + 3
56 = y + 3
Collect like terms
y = 56 — 3
y = 53
Therefore, 7 people purchase the items and they used 53 coins
Answer:
150°
Step-by-step explanation:
You are given the formula for the sum of the interior angles where n is the number of sides.
Substitute 12 in:
(12-2)×180
=10×180
=1800
To find an individual angle, divide the sum by n.
1800÷12=150
Answer:
Step-by-step explanation:
We are to rank the options given in the question to correctly prove the theorem that: "If A & B are set, and A is a subset of B"
To arrange the steps in the correct order, we have:
(a) Assume that B is countable
(b) The elements of B can be listed as b1, b2, b3
(c) Since A is a subset of B, taking the subsequence of {bn} that contains the terms that are in A gives a listing of the elements of A.
(d) Therefore A is countable, contradicting the hypothesis.
(e) Thus B is not countable
Answer:
look at the picture for the answer
Answer:
16 ft
Step-by-step explanation:
One of the other three sides is 12 ft. After that fence is subtracted from the total, there are 32 ft of fence left for the other two sides of the rectangle. That allows those sides to be 32 ft/2 = 16 ft long.
The rectangle can be 12 ft by 16 ft. The longer dimension is 16 ft.
