3 is converted to 0.03
19/20 is converted to 0.95.
Answer:
Dependent variable: y because you get the points by doing the quiz.
Independent variable: x because you don’t know how many questions you answered correctly.
Total points you score: Unknown until you know how many you got right also the same as y.
Number of questions you answer correctly: Unknown until you get your paper back, also the same as x.
Answer:
14 pounds
Step-by-step explanation:
The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.
<h3>Solution</h3>
x = 20 -y . . . . . . . subtract y from the first equation
7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation
140 -1.5y = 119 . . . . . . . . simplify
21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides
14 = y . . . . . . . . . . . .divide by 1.5
14 pounds of soy nuts should be used in the mixture.
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<em>Additional comment</em>
There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.
Make all a and constant number in different side
10-7=16z-7z+2z
3=11z
z=3/11
It is to be noted that for this item, we more concern of the pounds of flour. The number of batches is calculated by dividing the total mass of flour used by the amount per batch. That is,
n = 86 lbs / (1 + 5/8 lbs/batch)
n = 52.92 batch
Thus, the chef makes approximately 53 batches of pasta.