First change the mixed fraction into an improper fraction
7 1/2 = 15/2
Next, change multiply 2 to both numerator and denominator
15 x 2 = 30
2 x 2 = 4
30/4
Each piece needs 3/4 of an inch. Divide 30 with 3
30/3 = 10
c) 10 pieces is your answer
hope this helps
Answer:
C
Step-by-step explanation:
A relation is a function if each input gives exactly one output. There is one price for each number of pounds, so the relation is a function.
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<em>Additional comment</em>
Relations expressed in terms of ordered pairs or tables can be identified as "not a function" if any input (x) value is repeated. Relations expressed as a graph will be "not a function" if any vertical line intersects the graph at more than one point. (This is called "the vertical line test.")
The cost function in this case is a straight line through the origin. It has a slope of $5.99/lb. Any polynomial relation will be a function.
Step-by-step explanation:
||x-5|+2|≤3
-3 ≤ (|x-5| +2) ≤ 3
-5 ≤ |x-5| ≤ 1
|x-5| ≥ -5 => not required
|x-5| ≤ 1
-1 ≤ x-5 ≤ 1
4 ≤ x ≤ 6
the Solutions:
{4≤ x ≤ 6}
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
