Answer:
Step-by-step explanation:
Let j represent the cost of a juice box.
Let w represent the cost of a bottle of water.
One teacher purchased 18 juice boxes and 32 bottles of water, and spent $19.92.. This means that
18j + 32w = 19.92 - - - - - - - - - - - - 1
The other teacher purchased 14 juice boxes and 26 bottles of water, and spent $15.76. This means that
14j + 26w = 15.76- - - - - - - - - - - - 2
Multiplying equation 1 by 14 and equation 2 by 18, it becomes
252j + 448w = 278.88
252j + 468w = 283.68
Subtracting, it becomes
- 20j = - 4.8
j = - 4.8/- 20 = 0.24
Substituting j = 0.24 into equation 1, it becomes
18 × 0.24 + 32w = 19.92
4.32 + 32w = 19.92
32w = 19.92 - 4.32 = 15.6
w = 15.6/32 = 0.4875
Kara's prices are incorrect.
the cost of a juice box is $0.24
the cost of a bottle of water is $0.4875
p = 12x is the function rule to calculate the total number of pens when you know the number of boxes
<em><u>Solution:</u></em>
Given that,
Pen are shipped to the office supply store in boxes of 12 each
To find: Write a function rule to calculate the total number of pens when you know the number of boxes
Let "p" be the total number of pens
Let "x" be the number of boxes
Number of pens in each box = 12
Then from given information,
Total number of pens = Number of boxes multiplied by number of pens in each box

Thus the function rule is found
Hello there! How are you today?
4x + 5 -2 = 3x + 7x - 15
First, we need to get the variable (x) on one side. To do that, we must simplify the right side of the equation, and then decide what to do from there, so let's proceed to do so.
3x + 7x = 10x
4x + 5 - 2= 10x - 15
Now we have x simplified on both sides of the equation. However, we need x to be on one side of the equation in order to solve for it.
Subtract 4x from both sides.
4x - 4x = 0
10x - 4x = 6x
We are now left with:
6x - 15 = 5 - 2
Simplify the right side of the equation.
5 - 2 = 3
6x - 15 = 3
Now we need to isolate x. To isolate x, we need to add 15 to both sides, as x is being subtracted by 15, and adding 15 will cancel it out.
-15 + 15 = 0
3 + 15 = 18
We now are left with:
6x = 18
Now we only have one step left, and that is to solve for x. Since x is being multiplied by 6, we need to perform the opposite order of operations to cancel it out. To do that, we must divide both sides by 6 to solve for x.
6x = 18
Divide both sides by 6.
6x / 6 = x
18 / 6 = 3
We are now left with the solution:
x = 3
I hope this helps!