Answer:
C. 153.84 mL
Step-by-step explanation:
Let's say x is the volume of 75% solution and y is the volume of 10% solution.
Sum of the volumes:
x + y = 500
Sum of the alcohol amounts:
0.75x + 0.10y = 0.30(500)
0.75x + 0.10y = 150
Solve the system of equations using either substitution or elimination. I'll use substitution.
y = 500 - x
0.75x + 0.10 (500 - x) = 150
0.75x + 50 - 0.10x = 150
0.65x = 100
x = 153.84
You need 153.84 mL of 75% solution.
The equation between the number of days remaining and number of hours is given as y= -5x+50.
<h3>How to illustrate the equation?</h3>
Let y be the number of days remaining and x be the no.of hours.
From the graph the slope of the line is given by m.
m=(y2 - y1)/(x2 - x1)
m=(30 - 40)/(4 - 2)
m= -10/2 = -5.
The above slope is in between points 2 and 4. As the line has a constant rate of growth the slope is the same between any points of the line.
Therefore the equation between the no.of days remaining and no.of hours is given by
y=mx +c.
y=-5x+c
Now to find the value of c. This can be determined by substituting the x and y values at a particular instant. For x=0,y=50. Therefore by these values, we get,
50= -5(0)+c
c=50.
Therefore the relation between the number of days remaining and number of hours is given as y= -5x+50.
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Answer:
6.4 - x
Step-by-step explanation:
Positive difference is the bigger number- the smaller number
Negative difference is the smaller number- the bigger number
In this case, we do not know which is bigger so it is advisable to go for the known number- the unknown number. that is 6.4 - x
Here it is step by step :
With explanations
Answer:
d 96 degrees
Step-by-step explanation:
You can calculate this by knowing that all angles have to add up to 180 degrees. Because you know the measurement of 2 angles already you take 180-48-36 and then get 96 degrees. I hope this helped. If not sorry hope nothing major happens. Good luck.