Answer:
Step-by-step explanation:
1) Multiply both sides by 3.
2) Use this rule: a/b × c = ac/b.
3) Simplify 4 × 3 to 12.
4) Simplify 12/9 to 4/3.
Therefor, the answer is, t = 4/3.
and in decimal form it would be, 1.333333.
Answer:
see below
Step-by-step explanation:
6. 
±
Solution: 
Points of intersection: (2, -3) and (-2, -3)
7. 
Solution:
Point of intersection is (5, -1)
Step-by-step explanation:
12 inches = 30cm.
12 inches = 30cm.
8 inches = 20.3 cm
32 inches = 80.3 cm.
7 is a multiple of 14. 7 can divide 14 perfectly without any remainder
9514 1404 393
Answer:
3 < x < 6
Step-by-step explanation:
Use the perimeter formula to write an expression for the perimeter. Then put that in an inequality with the given limits. Solve for x.
P = 2(L +W)
P = 2((4x) +(2x +1)) = 2(6x +1) = 12x +2 . . . . . fill in the given values; simplify
The perimeter wants to be between 38 and 74 cm, so we have ...
38 < 12x +2 < 74
36 < 12x < 72 . . . . . subtract 2
3 < x < 6 . . . . . . . . . divide by 6
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<em>Additional comment</em>
Solving a compound inequality is very much like solving a single inequality. You need to "undo" what is done to the variable. The rules of equality (ordering) still apply. If you were to multiply or divide by a negative number, the direction (sense) of the inequality symbols would reverse in the same way they do for a single inequality.
Here, our first step was to subtract 2 from all parts of the inequality:
38 -2 < 12x +2 -2 < 74 -2 ⇒ 36 < 12x < 72
The division by 12 worked the same way: all parts are divided by 12.
36/12 < (12x)/12 < 72/12 ⇒ 3 < x < 6
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If it makes you more comfortable, you can treat the perimeter limits as two separate inequalities: 38 < 12x+2 and 12x+2 < 74. Both restrictions apply, so the solution set is the intersection of the solution sets of these separate inequalities.
