There are around 8 booklets in the lab because 6÷2 is 3 and 25÷3=8.3333333333333333333
Answer:
1.) 1-b, 2-a, 3-d, 4-c
Step-by-step explanation:
You recognize that the point-slope form of the equation for a line with slope m and point (h, k) is ...
... y - k = m(x - h)
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Match this form to the given equations to determine (h, k). Once you determine (h, k) from the equation, find that point in the list of points to get your match-up. (All the slopes are correct, so you don't need to do any more work than just described.)
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For problems 3.) and 4.), use the above form with the given point and slope.
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Let the number be (10 x + y)
Then, 10 x + y = 3 * (x + y) (given)
Or, 10 x + y = 3 x + 3 y
Or, 10 x - 3 x = 3 y - y
Or, 7x = 2 y
Or, x = 2 y / 7 ( Eq. 1)
Also, 10 x + y + 45 = 10 y + x ( given)
Or, 10 x - x = 10 y - y - 45
Or, 9 x = 9 y - 45 ( Eq. 2)
Substituting the value of x from (Eq. 1) in (Eq. 2), we have:
9 * 2 y / 7 = 9 y - 45
Or, (9 y ) - (18 y / 7) = 45
Or, 63 y - 18 y = 315
Or, 45 y = 315
Or, y = 7
From (Eq. 1),
x = 2 * 7 / 7 = 2
So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27
Answer
Check:
Sum of the digits = 2 + 7 = 9
9 * 3 = 27 ✓
Adding 45 to the number 27, we get 72. So, the digits get reversed.
10x - 35 = 15x - 10
-35 = 5x -10
-25 = 5x
-5 = x
The value of x is -5.
Answer:
Step-by-step explanation: