1) 9.1 = -0.2x + 10 | - 10
9.1 - 10 = -0,2x + 10 - 10
-0.9 = -0.2x | × 10
-0.9 × 10 = -0.2x × 10
-9 = -2x | ÷ (-2)
-9 ÷ (-2) = -2x ÷ (-2)
9/2 = x
x = 4.5
2) 10 = 9.1 + 0.2x | - 9.1
10 - 9.1 = 9.1 + 0.2x - 0.9
0.9 = 0.2x | × 10
0.9 × 10 = 0.2x × 10
9 = 2x | ÷ 2
9 ÷ 2 = 2x ÷ 2
9/2 = x
x = 4.5
3) 10 - 0.2x = 9.1 | - 10
-0.2x = -0.9 | × 10
-2x = -9 | ÷ (-2)
x = 9/2
x = 4.5
4) 9.1 - 10 = 0.2x
-0.9 = 0.2x | × 10
-9 = 2x | ÷ 2
-9/2 = x
x = -4.5
Answer: The last one equation gives a different value of x.
Answer:
x =7
Step-by-step explanation:
Remark
- A geometric sequence always has terms that are separated by a common ratio. For example 3 9 27 81 243 ....
- Each term is multiplied by a common number and the term before it. In this case the common term is 3.
- To get the next term after 9, you multiply 9 by 3.
- To get the common ratio divide the second term by the first and then the third term by the second
Equation
(x + 2)/(x - 4) = (3x + 6)/ (x + 2)
Solution
I would begin this problem by taking out the common factor on the top right term. You'll see why in a second.
(x + 2)/(x - 4) = 3(x + 2)/ (x + 2) Notice the two binomials on the right cancel.
- (x + 2)/(x - 4) = 3/1 Cross multiply
- (x + 2)*1 = 3*(x - 4) Remove the brackets on the right.
- x + 2 = 3x - 12 Add 12 on both sides.
- x + 2 + 12 = 3x - 12 + 12 Simplify
- x + 14 = 3x Subtract x from both sides
- 14 = 3x - x
- 2x = 14 Divide by 2
- x = 14/2
- x = 7
If the lines are parallel (have the same slope but different intercepts) . . .
no solution, because they never cross.
If the lines have different slopes . . .
one solution, because they have exactly one common point.
If the lines have the same slope and the same intercept . . .
infinitely many solutions, because every point on one line is also a point on
the other line, one lays right on top of the other, and when you look at them on
the graph, it looks like only one line.
If he cuts the board into 7 pieces, that will require 6 cuts with his saw. Therefore, he will lose 6 * .125, or .75 feet for all of the cuts, resulting in 17.25 feet in total after the cuts.
Answer:
72 boys=72:40
45 girls=81:45
90 girls=162:90
40 girls=72:40
etc.
Step-by-step explanation:
think of it as fractions
