Answer:
1.x=9 Nd 2.x=3/4....... .........
Answer and Step-by-step explanation:
Suppose x = 0.2355555... .
Multiply x by 100 and 1000:
100x = 23.5555....
1000x = 235.5555....
Let's subtract the first equation from the second:
1000x - 100x = 235.5555.... - 23.555.....
Because the decimal part for each goes on forever, we can simply cancel them out in our subtraction statement:
900x = 235 - 23 = 212
Divide both sides by 900:
x = 212/900 = 53/225
Thus, since x = 0.235555..., we know that:
0.23555.... = 53/225
Since p = 53 and q = 225 are integers, we have proven that this repeating decimal can be written as a fraction.
<em>~ an aesthetics lover</em>
Answer:
Width of rectangle = 4 meter
Length of rectangle = 18 meter
Step-by-step explanation:
Given:
Perimeter of rectangle = 44 m
Assume;
Width of rectangle = a
Length of rectangle = 2a + 10
Find:
Length and width
Computation:
Perimeter of rectangle = 2[l + b]
2[a + 2a + 10] = 44
3a + 10 = 22
3a = 12
a = 4
So,
Width of rectangle = a = 4 meter
Length of rectangle = 2a + 10 = 18 meter
Answer:
10
+
g
−
9
>
12
Move the negative in front of the fraction.
10
−
g
9
>
12
Move all terms not containing
g
to the right side of the inequality.
Tap for more steps...
−
g
9
>
2
Multiply each term in
−
g
9
>
2
by
−
1
Tap for more steps...
g
9
<
−
2
Multiply both sides of the equation by
9
.
g
<
−
2
⋅
9
Multiply
−
2
by
9
.
g
<
−
18
The result can be shown in multiple forms.
Inequality Form:
g
<
−
18
Interval Notation:
(
−
∞
,
−
18
)
Step-by-step explanation: