Answer:
D.
Step-by-step explanation:
Answer:
Step-by-step explanation:
750 yards in 25 minutes
Divide both numbers by 25
<span>30 yards in 1 minute</span>
Answer:
Step-by-step explanation:
![\sf{3[ x + 3(4x - 5)] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%20x%20%2B%203%284x%20-%205%29%5D%20%20%3D%2015x%20-%2024%7D)
Distribute 3 through the parentheses
⇒![\sf{3[ x + 12x - 15 ] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%20x%20%2B%2012x%20-%2015%20%5D%20%20%3D%2015x%20-%2024%7D)
Collect like terms : 12x and x
⇒![\sf{3[ 13x - 15 ] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%2013x%20-%2015%20%5D%20%20%3D%2015x%20-%2024%7D)
Distribute 3 through the parentheses
⇒
Move 15x to left hand side and change it's sign
Similarly, move 45 to right hand side and change it's sign
⇒
Collect like terms
⇒
Calculate
⇒
Divide both sides of the equation by 24
⇒
Calculate
⇒
Hope I helped!
Best regards! :D
Move all terms not containing
|
5
−
8
x
|
|
5
-
8
x
|
to the right side of the inequality.
Tap for fewer steps...
Add
7
7
to both sides of the inequality.
|
5
−
8
x
|
<
8
+
7
|
5
-
8
x
|
<
8
+
7
Add
8
8
and
7
7
.
|
5
−
8
x
|
<
15
|
5
-
8
x
|
<
15
Remove the absolute value term. This creates a
±
±
on the right side of the inequality because
|
x
|
=
±
x
|
x
|
=
±
x
.
5
−
8
x
<
±
15
5
-
8
x
<
±
15
Set up the positive portion of the
±
±
solution.
5
−
8
x
<
15
5
-
8
x
<
15
Solve the first inequality for
x
x
.
Tap for more steps...
x
>
−
5
4
x
>
-
5
4
Set up the negative portion of the
±
±
solution. When solving the negative portion of an inequality, flip the direction of the inequality sign.
5
−
8
x
>
−
15
5
-
8
x
>
-
15
Solve the second inequality for
x
x
.
Tap for more steps...
x
<
5
2
x
<
5
2
Set up the intersection.
x
>
−
5
4
x
>
-
5
4
and
x
<
5
2
x
<
5
2
Find the intersection between the sets.
−
5
4
<
x
<
5
2
-
5
4
<
x
<
5
2
The result can be shown in multiple forms.
Inequality Form:
−
5
4
<
x
<
5
2
-
5
4
<
x
<
5
2
Interval Notation:
(
−
5
4
,
5
2
)
(
-
5
4
,
5
2
)
