The formula for the perimeter is P = 2<em>w</em> + 2<em>l</em>, where <em>w</em> is the width and <em>l</em> is the length. It is given that the width = (x+2) and the length = (x+6). Therefore, we can make this equation:
P = 2<em>w</em> + 2<em>l</em>
64 = 2(x+2) + 2(x+6) ⇒ Distributive property
⇒ 64 = 2x + 4 + 2x + 12 ⇒ Combine like terms
⇒ 64 = 4x + 16 ⇒ Subtract 16 from both sides
⇒ 48 = 4x ⇒ Divide both sides by 4
⇒ x = 12
Then, we use x = 12 and substitute it in to find the length and width
<em>Width</em> = (x+2) = (12+2) = 14
<em>Length</em> = (x+6) = (12+6) = 18
The dimensions of the patio is <u>14 by 18</u>
Answer:
307.5$
Step-by-step explanation:
150$. 105% of it added.
Since 105% is 1.05, multiply the percentage by the cost to get the money added.
150*1.05=157.5
Then ADD it to the price/savings.
150+157.5=307.5$
we have
This is a mixed number
we know that
A mixed number is a combination of a whole number and a fraction.
So
is equal to
where
is the whole number
is the fraction
therefore
the answer is
Good morning
Answer:
B: (1, 5)
Step-by-step explanation:
This graph shows the solutions to the inequality: y > (1/3)x - 2
Since, 5 > (1/3)×1 - 2 then the point (1 ,5) is a solution to the inequality.
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The range is the output or the y values in the case of this function. The only y value on this function is 1 therefore the range is 1
