This system of linear equation has infinite solutions because they are really the same equation.
12x + 3y = 21
3y = -12x + 21 Divide through by 3:-
y = -4x + 7 <-------- which is the first equation
By performing a change of units, will see that the recipe only makes 21 cups of punch, so it is not enough for the whole class.
<h3>
Will the recipe make enough punch?</h3>
The class wants to make, <u><em>at least, 24 cups of punch.</em></u>
The recipe that they will use needs:
1 gal of ginger ale, 1 quart of orange juice, and 1 cup of lemon juice.
Let's write all of these quantities in cups, to see how many cups of punch this recipe makes:
- 1 gal = 16 cups.
- 1 quart = 4 cups
Then the recipe mixes:
16 cups of ginger ale, 4 cups of orange juice, and 1 cup of lemon juice, then this recipe makes:
16 cups + 4 cups + 1 cups = 21 cups
This is not enough for the 24 students.
If you want to learn more about changes of units, you can read:
brainly.com/question/9032119
From the equation, it can be deduced that the length of the marathon race will be 47905yards.
Let the total length of the marathon race = x
It should be noted that 1 mile = 1760 yards.
Since the length of a marathon race is 26 miles 385 yards, the conversion in years will be:
x = (26 × 1760) + 385
x = 47520 + 385
x = 47905
Learn more about equations on:
brainly.com/question/13763238
Step-by-step explanation:
hii de.ar do u get my friend md
<h3>
Answer: The graph is shown in the attached image below</h3>
-2x means -2*x or "-2 times x" where x is a placeholder for any number you want.
To graph y = -2x, you just need two points. Each point is of the form (x,y)
Let's plug in zero as it is often the easiest to work with.
If x = 0, then -2*x = -2*0 = 0. Notice how I replaced x with 0 and simplified.
Therefore, if x = 0, then y = 0. We have (x,y) = (0,0) as one point on this line. I have marked it as point A in the graph.
Point B is (1, -2) and it is found by plugging x = 1 into the equation to get...
y = -2x
y = -2*1
y = -2
You could find other points, but two points is enough to draw a straight line through them. The slope of this line is -2 = -2/1. The y intercept is 0.