X - 4y = 12 ----(1)
y = 1/4 x - 3 ----(2)
(2)*4 ; 4y= x-12
(1) is exactly the same equation with (2)
so there are many solutions (c)
You have to use let statements:
Let x = the number of dimes
Let x+6 = the number of nickles
We know that nickles are represented as $0.05 and dimes $0.10...
Together they make $2.25 right? So you have to add them.
0.05(x+6) + 0.10(x) = 2.25 => This is the equation the problem is asking for.
If they ask you how many nickels and dimes does John have in this pocket, then you have to solve for x, like this:
0.05x + 0.3 + 0.10x = 2.25 In this step you apply the ditributive property.
0.15x + 0.3 = 2.25 In this step you combine like terms
0.15x = 2.25 - 0.3 In this step you moved to +0.3 to the other side, but remember to switch the sign!
0.15x = 1.95 In this step you subtract 2.25 and 0.3
x = (1.95) / (0.15) In this step you divide 0.15 in the right because in the left side of the equals sign it was multiplying. You get x by itslef.
x = 13 Latly, you divide and you get 13 as an answer
Now that the value of x is 13. You plug this number into the let statements.
We had:
x and x+6 which would be
x = 13
x+6 = 13+6 = 19
Which means that John has 13 dimes and 19 nickels in his pocket.
Answer:
D move 3 places to the left
Step-by-step explanation:
to average 20 points in 2 games she needs a total of 20*2 = 40 points
she scored 24 so she needs 40-24 = 16 points in her second game
the question says she needs over 20 points so she should score at least 17 to be over
inequality x+24>40
The factors of 48 are 1,2,3,4,6,8,12,16,24, and 48. Take factors of 4, and see which of them are not on that list.