Answer:
System of equations:
6d + 3p = 42.75
10d + 15p = 98.75
Drink = $5.75
Popcorn = $2.75
Step-by-step explanation:
6d + 3p = 42.75
subtract 6d from both sides
3p = 42.75 - 6d
divide both sides by 3
p = 14.25 - 2d
substitute P in the second equation with the answer and solve for D
10d + 15( 14.25 - 2d) = 98.75
distribute out the 15
10d + 213.75 -30d = 98.75
-20d + 213.75 = 98.75
subtract 213.75 from both sides
-20d = -115
divide both sides by -20
d = 5.75
substitute D back in the first equation and solve for P
3p + 6(5.75) = 42.75
multiply the 6 and 5.75
3p + 34.5 = 42.75
subtract 34.5 from both sides
3p = 8.25
divide both sides by 3
p = 2.75
If we would have assigned a different value for x, the equation would have given us another value for y. We could instead have assigned a value for y and solved the equation to find the matching value of x.
In our equation y=x+7, we have two variables, x and y. The variable which we assign the value we call the independent variable, and the other variable is the dependent variable, since it value depends on the independent variable. In our example above, x is the independent variable and y is the dependent variable.
A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type.
It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2.
Answer:
its b .
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
that is it. if u do ur measure correctly
Answer:
6 crayons more
Step-by-step explanation:
At Dante's party, each child gets 192/16 = 12 crayons each
At Maria's party, each child gets 234/13 = 18 crayons each.
Therefore, each child at Maria's party gets 18-12 = 6 crayons more each than at Dante's party.
