Answer:
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Step-by-step explanation:
1 and 18
2 and 9
3 and 6 or of you want the set
1,2,3,6,9,18
From clue 3, we know that the three numbers average to 15. This means we add up the three numbers x,y and z and divide by 3 to get 15. So one equation is (x+y+z)/3 = 15 which turns into x+y+z = 45 after multiplying both sides by 3.
Let's say that x < y < z. In other words x is the smallest number, y is the middle and z is the largest. Based on clue 2, this would tell us that z = 8*x (since largest is 8 times the smallest). We can replace the 'z' in the equation x+y+z = 45 with 8x like so
x+y+z = 45
x+y+8x = 45 ... replace z with 8x
9x+y = 45
Now onto clue #1. The smallest number x is a prime number and it is 1/6 times the size of the middle number y. Put another way, the middle number y is 6 times larger than the smallest number. We have this equation y = 6*x
9x+y = 45
9x+6x = 45 ... replace ywith 6x
15x = 45
x = 45/15
x = 3 which is a prime number
Now that we know x = 3, we can use it to find y
y = 6*x = 6*3 = 18
and then use x = 3 to find z
z = 8*x = 8*3 = 24
Therefore the three mystery numbers are 3, 18, and 24. Note how these three values add to 3+18+24 = 45 which you then divide over 3 to get 45/3 = 15. So the average of the values 3, 18, 24 is the number 15. This helps confirm the answer.
Answer:
Step-by-step explanation:
eq. of any line with slope m and passing through (x1,y1) is
y-y1=m(x-x1)
reqd. eq. is
y-1=3/4(x-2)
4y-4=3x-6
4y=3x-6+4
4y=3x-2
so 3.
Answer:
70 gallons
Step-by-step explanation:
Given: 1 gallon = 3.8 liters.
Question: How many gallons are equal to 266 liters.
To solve, divide 266 liters with 3.8 liters to get x gallons.
x = 266/3.8
x = 70
70 gallons is your answer
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