Let h be the number of lemonade sold. If the vendor sold 86 items today and h of them are lemonade, then the rest are hot dogs, so he sold 86-h hot dogs.
When you add the number of sold lemonade and hot dogs, then you get 86 items in total:
h+(86-h)=86.
This equation is exactly the same as equation
(86-h)+h=86.
Moreover,
1. if a snack cart sells lemonade for $2, then he gets $2h for h sold lemonade;
2. if a snack cart sells hot dogs for $5, then he gets $5(86-h) for (86-h) sold hot dogs.
In total he gets $330, then
2h+5(86-h)=330.
Both these equations are true, but only first is among given options.
Answer: correct choice is B.
Answer:
Step-by-step explanation:
Slope: -3
y-intercept: -2 (y-intercept is where a line cross the y-axis, vertical line)
Pencil on the y-intercept, three down and one to the right, then trace the line from -2 on the y-axis.
Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.
One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:
x^2 + 6x + 8 = x + 4
We can then combine like terms, or move everything to one side. So we get:
x^2 + 5x + 4 = 0.
Then we can use the quadratic formula to solve for x.
x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)
This simplifies into:
(-5 +/- 3)/2
Finally we add and subtract:
(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4
And our solution is x = -1, x = -4
C. 3/4 is the right answer
Answer:
Whether you're teaching the meaning of fractions or fraction operations, visual models can help students connect fractions to what they already know. Division is an essential foundation for fractions. Once students can divide objects into equal groups, they can begin to grasp dividing a whole into equal parts.
Step-by-step explanation:
