Answers:
It costs $15 for one adult
It costs $10 for one child
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Work Shown:
x = cost for one adult ticket (in dollars)
y = cost for one child ticket (in dollars)
"it costs $35 for one adult and two children" so the first equation is x+2y = 35. Solve for x to get x = -2y+35 (subtract 2y from both sides). We'll use this equation later. See the "replacement" step below.
"it costs $60 for two adults and three children" so the other equation to set up is 2x+3y = 60
Use the substitution rule to get rid of the x (replace it with something equivalent in terms of y) then isolate y
2x+3y = 60
2( x )+3y = 60
2( -2y+35 )+3y = 60 ... replace x with -2y+35
2(-2y)+2(35)+3y = 60
-4y+70+3y = 60
-y+70 = 60
-y+70-70 = 60-70
-y = -10
y = 10
Since y = 10, it costs $10 for one kid to get a ticket.
If y = 10, then x must be...
x = -2y+35
x = -2*10+35 ... replace y with 10
x = -20+35
x = 15
Since x = 15, it costs $15 for one adult ticket.
Answer:
2175
Step-by-step explanation:
y = k sqrt(x)
x = 625
y = 87
87 = k * sqrt(625)
87 = k * 25
87/25 = k
k = 3.48
y = 3.48 * sqrt(390625)
y = 3.48 * 625
y = 2175
The difference between 342 and 324 is different because the digits 2 and 4 are flipped.
342 and 324 are alike because they have the same amount of digits. hope that helped.
First I would change the descriptions of the numbers into expressions.
first number is n
second number is n + 6
third number is 4n (4 x n)
Then you would insert these expressions into an equation and isolate n.
n + n + 6 + 4n = 144
n + n + 4n = 144 - 6
6n = 138
n = 138/6
n = 23
Lastly, you would plug in this value into all of the expressions.
first number is 23
second number is 23 + 6 = 29
third number is 4(23) = 92
Therefore, the numbers are 23, 29, and 92.
On a horizontal number line, -6 is located to the (left) of -4. So, -6 is (less than) 4.
