Answer:
7
Step-by-step explanation:
(x+3)/(x+8) = 2/3
3x + 9 = 2x + 16
x = 7
Step-by-step explanation:
a. ( p × q ) ( q + r )
= ( -24 × 12 ) ( 12 + -6 )
= 288 × 18
= 5184
b. ( p × r ) ( r - q )
= ( -24 × -6 ) ( -6 - 12 )
= ( 144 ) ( -18 )
= -2592
Answer:
Step-by-step explanation:
<h3>Solving linear equation with one variable:</h3>
1) -4 + 3x = 4x - 8
Add 4 to both sides
-4 + 3x + 4 = 4x - 8 + 4
3x = 4x - 4
Subtract 4x from both sides,
3x - 4x = -4x + 4x - 4
-x = -4

2) -5x - 8 = 2
Add 8 to both sides
-5x - 8 + 8 = 2 + 8
-5x = 10
Divide both sides by (-5)


3) 12r - 14 = 5(2-r)
12r - 14 = 5*2 - 5*r
12r - 14 = 10 - 5r
Add 14 to both sides
12r - 14 + 14 = 10 - 5r + 14
12r = 24 - 5r
Add 5r to both sides
12r + 5r = 24
17r = 24
Divide both sides by 17
r = 24/17
4) 3x - 8 = -(17 + 2x)
3x - 8 = -17 - 2x
Add 8 to both sides
3x - 8 + 8 = -17 - 2x + 8
3x = -9 - 2x
Add 2x to both sides
3x + 2x = -9
5x = -9
Divide both sides by 5

Answer:
1. MAD for Jada's data set = 1
Step-by-step explanation:
Mean Absolute Deviation = sum of the distances of each data value from the mean ÷ number of data value
Jada's data set is given as: 4, 4, 4, 6, 6 ,6
Mean = 5
✔️Find the distance between each data value form the mean
4 = |4 - 5| = 1
4 = |4 - 5| = 1
4 = |4 - 5| = 1
6 = |6 - 5| = 1
6 = |6 - 5| = 1
6 = |6 - 5| = 1
✔️Find the sum of the distances of each data value from the mean
1 + 1 + 1 + 1 + 1 + 1 = 6
✔️Find the MAD:
MAD = 6/6
MAD = 1