Solving for x we get
We are also given that
So we replace
6x+3 = 7-2x-10
6x = 7-2x-10-3
8x = -6
x = -3/4
I thought I was on the right teaching track using real-world contexts to ... Their teacher had begun a unit on fractions and was interested in ... “No problem,” I told her. ... 3/6 and 1/2 were equivalent fractions because they both described ... So, if you put them together, then two out of all six kids are girls, and ...Since all the problems are scenarios, and often have topics that vary, they ... through with the eight problems assigned to you, go back over your work from the last few ... variable such as x in place of your number, show that the pattern ... Explain. (a) 3(2 + 3 + 5) (b). 1. 3. (9 + 6−3) (c) (9+6−3)÷3 (d) 3(2 · 3 · 5).
j=2.606, j=-4.606 and k=0.606, k=-6.606
First step is to merge the formulas so that you are left with one combined equation with only one variable. Let's go for j, so we won't have to fiddle with the quadratic term:
First we convert j-k=2 to k=j-2, then we plug in this value for k in the other equation:
j² + 2(j-2) = 8
j² +2j -4 = 8
j² + 2j -12 = 0
This we can solve using the quadratic formula:
j = (-2 ± √(2²-4·1·-12) ) / 2
= (-2 ± √52)/2
= -1 ± √13
So j ≈ 2.6056 or j≈-4.6056
k can be found by subtracting 2.
You and Sarah went to the gas station to get sodas. Sarah got a Dr. Pepper and it cost $2.50. You got a Sprite and it cost $3.00. You notice Sarah is short on change and want to help her. You have a $10 Bill and are going to pay for it. How much change will you get back?
12 Large Pizzas & 32 Regular Pizzas
Each worker got 1 slice of the large pizza & 2 slices of the regular pizza
here is an solution :