Answer:22
Step-by-step explanation:
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The total rental cost is $120.
Let x be the amount each person pays and y be the total cost. Our first equation would be
4x = y.
The second equation would be
6(x-10) = y.
Since these are set equal to the same variable, we can use substitution:
4x = 6(x-10)
Using the distributive property, we have
4x = 6*x - 6*10
4x = 6x-60
Subtract 4x from both sides:
0 = 2x-60
Add 60 to both sides;
60 = 2x
Divide both sides by 2:
30 = x
This means each person pays $30 (in the first equation). 4(30) = 120 for y.
With 4 people, each person pays $30; with 6 people, each person pays 30-10=20.
The question gives us that the sum of two consecutive odd integeres is 244, and we are asked to find the value of the smaller integer. Well, we can first assign the variable x to the smaller integer, and the variable y to the larger odd integer.
x = smaller odd integer
y = larger odd integer
The question says that the sum of two <u>consecutive</u> odd integers is 244. This means that if x is an odd integer, the next odd integer can be expressed as x + 2. This means that the value of y is x + 2. Next, we can create an equation modeling the problem.
x + y = 244
x + (x + 2) = 244
x + x + 2 = 244
2x + 2 = 244
2x = 242
x = 121
Therefore, the value of the smaller integer is 121, and the value of the larger integer is 121 + 2 = 123. Hope this helped and have a phenomenal day!
Answer:
Step-by-step explanation:
-10=-4