Answer:
120 = 3y + t
Step-by-step explanation:
120 = 3y + t because you purchase 3 times as many y then t. Overall, your answer should end up as 120 by using an equation like this.
Total length of the string = yard
Length of string used for craft = of total length of string
= of
=
= yard
Length of the string left after use = Total length of the string - Length of string used for craft
Length of the string left after use =
=
Reducing it to the lowest term, we get
= yard
Therefore, the length of string left is yard.
Answer:
-8
Step-by-step explanation:
2(-2) +3(-2) +2
-4 -6 +2
-10 +2
-8
Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
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