Problem 3: Let x = price of bag of pretzels Let y = price of box of granola bars
We have Lesley's purchase: 4x+2y=13.50
And Landon's: 1x+5y=17.55
We can use the elimination method. Let's negate Landon's purchase by multiplying by -1. -1x-5y=-17.55
We add this four times to Lesley's purchase to eliminate the x variable.
2y-20y=13.50-70.2
-18y=-56.7
y = $3.15 = Price of box of granola bars
Plug back into Landon's purchase to solve for pretzels.
x+5*3.15=17.55
x+15.75=17.55
x = $1.80 = price of bag of pretzels
Problem 4.
Let w = number of wood bats sold
Let m = number of metal bats sold
From sales information we have: w + m = 23
24w+30m=606
Substitution works well here. Solve for w in the first equation, w = 23 - m, and plug this into the second.
24*(23-m)+30m=606
552-24m+30m=606
6m=54
m=9 = number of metal bats sold
Therefore since w = 23-m, w = 23-9 = 14. 14 wooden bats were sold.
Answer:
D. reflection across a vertical line
Step-by-step explanation:
Reflection is basically a mirror image. Since you can see that the first triangle is flipped over to get the second one, this is a reflection.
It is not a vertical translation; this means that the triangle shifted up or down.
It is not a horizontal translation, this means that the triangle shifted left or right.
It is not a rotation about point A either, this would have meant that the triangle spun around.
I would minus 2 from both sides of the equation so that it becomes:
F(x) is the same as y.......so basically ur subbing in ur points into the equation to see if it comes out equal.
f(x) = 3 - 2x.....(-2,-1)....x = -2 and f(x) = -1
-1 = 3 - 2(-1)
-1 = 3 + 2
-1 = 5.....this is not true, so it is not a solution
and that is how to do this problem.....
(-1,5)......this IS a solution
(0,3)......this IS a solution
(1,0)...this IS NOT a solution
(2,-1)...this IS a solution
Answer:
Step-by-step explanation:
Let:
We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2
Now subtract (2) from 2*(1) in order to eliminate x:
Solving for y:
Multiplying both sides by -1
Finally, replacing the value of y in (1)
Solving for x:
add 41 to both sides:
Multiply both sides by 1/2:
