Answer:
AC = 198
Step-by-step explanation:
Since all these points are collinear, we know that the addition of AB plus BC should give the same as AC. We can then set an equation that addresses this identity:
AB + BC = AC
5x +8 +6x - 1 = 12x - 11
Now re-arranging like terms in order to combine them:
8 - 1 + 11 = 12x - 5x - 6x
19 - 1 = 12x - 11x
18 = x
Now that we know the value of 'x", we can determine the value of AC:
AC = 12x - 11
AC = 12 (18) - 11
AC = 216 - 18
AC = 198
Answer:
256
Step-by-step explanation:
We are given the series
1, 16, 81, __, 625, 1296
The missing number in the sequence is the fourth term
From the above sequence, we know that
1, 4², 9² , __, 25² , 36²
Difference between first term = 4 - 1 = 3
9 - 4 = 5
x - 9 = 7
x = 9 + 7 = 16
Hence, the fourth term = 16²
= 256
Answer: n= 80 ×48+ 34×20
Step-by-step explanation:
Given: Number of large boxes = 80
Number of small boxes = 34
Number of markers in each large box = 48
Number of markers in each small box = 20
Total markers = (Number of large boxes)x (Number of markers in each large box) + (Number of small boxes) x (Number of markers in each small box)
Total number of markers = n (given)
Then, n= 80 ×48+ 34×20
Therefore , the equation could be used to find n, the total number of markers in stock: n= 80 ×48+ 34×20
Step-by-step explanation:
f(x) = | x² - x + 3 |
f(-1) = |(-1)² - (-1) + 3| = |1 + 1 + 3| = |5| = 5
f(5) = |(5)² - (5) + 3| = |25 - 5 + 3| = |23| = 23
f(-10) = |(-10)² - (10) + 3| = |100 - 10 + 3| = |93| = 93
0.1 × 60,000 = 10x. Combine the terms on the left side of the equation.
6,000 = 10x. Divide each side by 10.
600 = x
