Answer:
Hey there!
The first equation has no solutions, as it is parallel lines.
The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.
The third equation is just one solution.
Let me know if this helps :)
My teacher taught me a simple equation for these types of problems:
(percent of solution × amount of solution) + (percent of solution × amount of solution) = (percent of solution × total amount of solution)
in simple terms: %amount + %amount = %total amount
We know don't know how much gallons of 60% solution we need so it will be represented as x. We dont know the total amount either so it would have to be both solutions added together so 50 + x. Now lets solve:
(0.60)(x) + (0.24)(50) = (0.50)(50 + x) simplify/ distribute
0.6x + 12 = 25 +0.5x get all xs on one side and numbers on other
0.1x + 12 = 25
0.1x = 13 divide both sides by 0.1 to find x
x = 130
You need 130 gallons of 60% solution.
Answer:
<h2>The required answer is 218 degree.</h2>
Step-by-step explanation:
∠AOB = 90 degree.
∠BOC = 52 degree.
Arc CDE = 180 degree, since CE is the diameter.
Hence, Arc EAC = 180 degree.
Besides, Arc EAC = Arc EA + Arc AB + Arc BC = Arc EA + 90 + 52 = Arc EA + 142.
Thus, Arc EA = 180 - 142 = 38 degree.
Arc ADC = 180 + 38 = 218 degree.
Answer:
so it is a rectangle with a perimeter of 30 units
Answer:
a. Mean = £27928.57
b. Mean without Deva's income = £19416.67
Step-by-step explanation:
The mean is calculated by dividing the sum of values by number of values. Given 7 values will be used to calculate mean.
So,
Number of values = n = 7
Now,
Rounding off to two decimal places
Mean income = £27928.57
Now we have to calculate mean without Deva's income so the number of values will be 6 and the sum will be:
The mean without Deva's income is:
Rounding off to 2 DP
Mean = £19416.67
Hence,
a. Mean = £27928.57
b. Mean without Deva's income = £19416.67
