Answer: x=7
Step-by-step explanation:
-4x+26=-2
-26
-4x=-28
Divide by -4
=7
When Katya factored 288, she listed these factors: 1, 2, 3, 6, 8, 9, 12, 16, 18, 32, 36, 48, 72, 96, and 288. Use a factor rainb
REY [17]
Answer:
Please find a representation of the factor rainbow below.
The missing factors are: 4, 24, and 144
Step-by-step explanation:
The factors of a number are those numbers that can divide another number without remainder. In this case where Katya factored 288, it means she listed the numbers that can divide 288 without reminder (factors of 288). However, among the factors she listed, THREE factors are missing.
To get the missing factors, we can use a FACTOR RAINBOW, which is a display of the factors of a number in a rainbow shape. The factors are arranged from smallest to largest number in such a way that the two numbers attached to a line can be multiplied to give the original number.
From the attached factor rainbow (see attached image), it can be observed that factors: 4, 24, and 144 are missing in the list of factors Katya provided.
3/10 + 2/6
use their lowest common multiple — which is 30 so:
3/10 -> 9/30 (multiply by 3)
2/6 -> 10/30 (multiply by 5)
then we can get the new equation of:
9/30 + 10/30 = 19/30
Answer:
Step-by-step explanation:
x - 5 = 0.1(x +5)
x - 5 = 0.1x + 5*0.1
x -5 = 0.1x + 0.5 {Add 5 to both sides}
x = 0.1x + 0.5 + 5
x = 0.1x + 5.5
x -0.1x = 5.5 {subtract 0.1x from both sides}
0.9x =5.5 {Divide both sides by 0.9}
x = 5.5/0.9
x = 55/9
x = 6 1/9
<span>the line over the 28 means the 28 repeats forever.
1.282828.... and so on
let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828...
(the decimal 28 part repeats)
100x = 128.28...
next:
100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99</span>
