Answer:
x = 41 3/4
Step-by-step explanation:
(2 1/2)x -(3/4)(2x +5) = 38
(2 1/2)x -(1 1/2)x -15/4 = 38 . . . . use the distributive property
x = 38 +3 3/4 . . . . . . add 15/4
x = 41 3/4
_____
Another way to solve this is to "clear fractions" by multiplying the whole equation by 4:
10x -3(2x +5) = 152
4x -15 = 152 . . . . eliminate parentheses
4x = 167 . . . . . . . add 15
x = 41 3/4 . . . . . . divide by 4
Answer:
no
Step-by-step explanation:
its 7
Simplify
−
3
(
j
+
3
)
+
9
j
-
3
(
j
+
3
)
+
9
j
.
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Simplify each term.
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−
3
j
−
9
+
9
j
<
−
15
-
3
j
-
9
+
9
j
<
-
15
Add
−
3
j
-
3
j
and
9
j
9
j
.
6
j
−
9
<
−
15
6
j
-
9
<
-
15
Move all terms not containing
j
j
to the right side of the inequality.
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Add
9
9
to both sides of the inequality.
6
j
<
−
15
+
9
6
j
<
-
15
+
9
Add
−
15
-
15
and
9
9
.
6
j
<
−
6
6
j
<
-
6
Divide each term in
6
j
<
−
6
6
j
<
-
6
by
6
6
and simplify.
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Divide each term in
6
j
<
−
6
6
j
<
-
6
by
6
6
.
6
j
6
<
−
6
6
6
j
6
<
-
6
6
Simplify the left side.
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j
<
−
6
6
j
<
-
6
6
Simplify the right side.
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j
<
−
1
j
<
-
1
The result can be shown in multiple forms.
Inequality Form:
j
<
−
1
j
<
-
1
Interval Notation:
(
−
∞
,
−
1
)
Answer:
Hypotenuse = 8.94
Step-by-step explanation:
Answer
x=100
y= 4.5
x=6
y= 1.87
Step-by-step explanation:
