Answer:
12
Step-by-step explanation:
For, "x" greater than 34, the perimeter of the picture frame greater than 152 inches
<em><u>Solution:</u></em>
Let "x" be the width of the frame
<em><u>Given that, The length of a picture frame is 8 inches more than the width</u></em>
Therefore,
Length = width + 8
Length = x + 8
<em><u>The perimeter of rectangle is given by formula:</u></em>
Perimeter = 2(length + width)
Substituting the values we get,
Perimeter = 2(x + 8 + x)
Perimeter = 2(2x + 8)
Perimeter = 4x + 16
The perimeter of the picture frame greater than 152 inches
Perimeter > 152
Therefore, for, "x" greater than 34, the perimeter of the picture frame greater than 152 inches
Answer:
x=<12
Step-by-step explanation:
x/4=<3
Answer:
see below
m = males = 50
e = females = 25
a = adults = 7
Step-by-step explanation:
Givens
Let the adults = a
let the males students = m
lef the female students = e
Equations
a + m + e = 82
m = 7*a + 1
e = 1/2 * (7a + 1)
Solution
a + 7a + 1 + 1/2(7a + 1) = 82 Remove the brackets on the left.
a + 7a + 1 + 3.5*a + 1/2 = 82 Combine the like terms on the left.
11.5a + 1.5 = 82 Subtract 1.5 from both sides.
11.5a + 1.5 - 1.5 = 82 - 1.5 Combine
11.5a = 80.5 Divide by 11.5
a = 80.5/11.5
a = 7
The number of adults = 7
===============================
m = 7a + 1
m = 7*7 + 1
m = 50
===============================
e = 1/2 m
e = 1/2 * 50
e = 25
Answer:
(x-2)(x+1)
Step-by-step explanation:
x²-x-2 can be factored into:
(x-2)(x+1)
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