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:
#5 - C
#7 - A
Step-by-step explanation:
If two items are similar, it means that the angles and figure itself have not changed, just the size. The two objects are prototional to each other.
In order to find the length of one side, we have to find what the size difference is, if that makes sense. We have to figure out the number that the smaller size is multiplied by in order to get the bigger number (or the other way around).
#5:
Side LK and side DE are preportional. We can divide 35 by 10 to figure out the proportion size. 35/10=3.5. Then we can take that and use it to find the other side. MK and FD are proportional. We can now take 22 and multiply it by 3.5 to get the new side length. 22x3.5=77
#7:
Same thing. 12/8=1.5, which is the proportional size change. We can now take the already exisiting number and multiply it. 5x1.5=7.5
Answer:
x= -2/33
Step-by-step explanation:
let me know if it is right
The answer is (f o g)(x) = 2x^2 - 13
In order to find a composite function, you take the first letter (in this case f) and use that equation. You then remove the variable and put in the second letter (g).
f(x) = 2x + 1 ----> Remove variable.
f(x) = 2( ) + 1 ----> Insert g(x)
(f o g)(x) = 2(x^2 - 7) + 1 ----> Distribute
(f o g)(x) = 2x^2 - 14 + 1 ----> Simplify
(f o g)(x) = 2x^2 - 13
