Answer:
First, we can write:
x
=
3
.
¯¯¯¯
24
Next, we can multiply each side by
100
giving:
100
x
=
324
.
¯¯¯¯
24
Then we can subtract each side of the first equation from each side of the second equation giving:
100
x
−
x
=
324
.
¯¯¯¯
24
−
3
.
¯¯¯¯
24
We can now solve for
x
as follows:
100
x
−
1
x
=
(
324
+
0
.
¯¯¯¯
24
)
−
(
3
+
0
.
¯¯¯¯
24
)
(
100
−
1
)
x
=
324
+
0
.
¯¯¯¯
24
−
3
−
0
.
¯¯¯¯
24
99
x
=
(
324
−
3
)
+
(
0
.
¯¯¯¯
24
−
0
.
¯¯¯¯
24
)
99
x
=
321
+
0
99
x
=
321
99
x
99
=
321
99
99
x
99
=
3
×
107
3
×
33
x
=
3
×
107
3
×
33
x
=
107
33
Now, we can convert this improper fraction to a mixed number:
x
=
107
33
=
99
+
8
33
=
99
33
+
8
33
=
3
+
8
33
=
3
8
33
3
.
¯¯¯¯
24
=
3
8
33
Answer:
1. x > 13
2. x < -2
3. x < 5
Step-by-step explanation:
2x - 3 > 23
<u>→Add 3 to both sides:</u>
2x > 26
<u>→Divide both sides by 2:</u>
x > 13
2x - 3 > 3x - 1
<u>→Subtract 2x from both sides:</u>
-3 > x - 1
<u>→Add 1 to both sides:</u>
-2 > x
5x - 4 < 21
<u>→Add 4 to both sides:</u>
5x < 25
<u>→Divide both sides by 5:</u>
x < 5
Answer:
236.55 (Rounded to two decimal places)
Step-by-step explanation:
Area of the rectangle:
12 x 15 = 180
Area of semicircle:
π6^2/2 = 56.54866776...
Total area:
180 + 56.54866776...
= 236.55
Answer:
8
Step-by-step explanation:
16-8 = 8
