Answer:
15
Step-by-step explanation:
Let the number of adult tickets be x while children ticket be y. Since the total tickets were 20 then we can form the equation
x+y=20
Making x the subject then x=20-y
Considering the cost of each ticket
15x+10y=225
Substituting x with 20-y then
15(20-y)+10y=225
300-15y+10y=225
Collecting like terms
300-225=15y-10y
75=5y
Y=75/5=15
To find x, we already know that x=20-y hence x=20-15=5
Therefore, children tickets are 15 while adult tickets are 5.
The question only needs us to know the children tickets, y which is 15
D=2n: there are twice as many dimes as nickels.
n+d+q=52: a total of 52 coins, using d from above in this gives you:
n+2n+q=52 combine like terms on left side
3n+q=52 subtract 3n from both sides
q=52-3n
Then you are told that the coins have a total value of $6 which is equal to 600 cents. So we can say:
25q+10d+5n=600 divide all terms by 5
5q+2d+n=120, and from earlier we saw q=52-3n and d=2n so you have:
5(52-3n)+2(2n)+n=120 expanding...
260-15n+4n+n=120 combining like terms
260-10n=120 subtract 260 from both sides
-10n=-140 divide both sides by -10
n=14, since q=52-3n and d=2n
q=(52-3(14))=52-42=10
d=2(14)=28
So there are 10 quarters, 28 dimes, and 14 nickels or as your choices put it:
q=10, d=28, n=14 (the correct answer is d.)
Answer: Radius = volume 18 ft
Diameter = volume 22.5 ft
Area of base = volume 20 ft
Step-by-step explanation:
The line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025
<h3>What is the line of best fit?</h3>
A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
We have data shown in the table:
To find the line of best fit, we will calculate its slope and y-intercept.
We know the slope is given by:
where n = 5
After calculating, we get,
and
m = 105000/50 = 2100
For y-intercept b:
After calculating:
b = -4166040
The line becomes:
y = 2100x -4166040
If x = 2025 put this value in the line, we get:
y = 86460
Thus, the line of the best fit is y = 2100x -4166040 and the number of bottles is, 86460 which expect to sell in 2025
Learn more about the line of best fit here:
brainly.com/question/14279419
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