Using the formula from part a, calculate the retail price for each quantity range. (2 points)
Quantity
0-20 pairs
21-40 pairs
41-60 pairs
61-80 pairs
81 or morepairs
Wholesale Price (per pair)
$25.00 each
$23.00 each
$21.00 each
$19.00 each
$17.00 each
Retail Price (per pair)
[tex]x=2\sqrt{10}[/tex]
step-by-step explanation:
this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.
the hypotenuse is the side "opposite" the 90 degree angle, which is x.
so we can write using pythagorean theorem,
[tex]6^2+2^2=x^2[/tex]
simplifying:
[tex]6^2+2^2=x^2\\36+4=x^2\\40=x^2\\x=\sqrt{40}[/tex]
to further simplify this radical, we need to use the property [tex]\sqrt{x*y}=\sqrt{x} \sqrt{y}[/tex]
thus
[tex]x=\sqrt{40}\\ x=\sqrt{4}\sqrt{10} \\ x=2\sqrt{10}[/tex]
x= 1
step-by-step explanation: convert 5\frac{11}{12}5
12
11
to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1
3
1
+
6
5
x=
12
5×12+11
2 simplify 5\times 125×12 to 6060
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1
3
1
+
6
5
x=
12
60+11
3 simplify 60+1160+11 to 7171
3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1
3
1
+
6
5
x=
12
71
4 simplify \frac{5}{6}x
6
5
x to \frac{5x}{6}
6
5x
3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1
3
1
+
6
5x
=
12
71
5 convert 1\frac{1}{3}1
3
1
to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c
b
=
c
ac+b
3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
3
1×3+1
+
6
5x
=
12
71
6 simplify 1\times 31×3 to 33
3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
3
3+1
+
6
5x
=
12
71
7 simplify 3+13+1 to 44
3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+
3
4
+
6
5x
=
12
71
8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+
3
4
+
6
5x
to \frac{13.75}{3}+\frac{4x}{3}
3
13.75
+
3
4x
\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}
3
13.75
+
3
4x
=
12
71
9 simplify \frac{13.75}{3}
3
13.75
to 4.5833334.583333
4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+
3
4x
=
12
71
10 subtract 4.5833334.583333 from both sides
\frac{4x}{3}=\frac{71}{12}-4.583333
3
4x
=
12
71
−4.583333
11 simplify \frac{71}{12}-4.583333
12
71
−4.583333 to \frac{4}{3}
3
4
\frac{4x}{3}=\frac{4}{3}
3
4x
=
3
4
12 multiply both sides by 33
4x=\frac{4}{3}\times 34x=
3
4
×3
13 simplify \frac{4}{3}\times 3
3
4
×3 to \frac{12}{3}
3
12
4x=\frac{12}{3}4x=
3
12
14 simplify \frac{12}{3}
3
12
to 44
4x=44x=4
15 divide both sides by 44
x=1
ok
step-by-step explanation:
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