# 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:

- ￼help ASAP thanks,....
- ♂️♂️♂️help me plz I dont no 1+1...
- I need help asapp i’ll be giving a brainliest to the person with the correct answer...
- Atoms are made up of subatomic particles including protons and electrons. The mass of a proton is about 1.6726 x 10-27 kg and the mass of an electron is about 9.1094 x 10-31 kg. D...
- Caroline and Chase are working on math homework. They decide to race to see who can finish first. Caroline is on number 12 and can solve 1 math problem in 1.5 minutes. Chase is on...
- If a rocket has an acceleration of 10 m/s2 and a force of 5 N what is its mass? *...
- PLEASE HELP ME IM BEGGING I also need the work shown...
- What is the 3rd quartile of the daily high temperature in atlanta for one month 61,61,63,64,65,66,66,67,68,70,70,70 ,71,71,72,74,74,74,75,75,75,76,76,7 7,78,78,79,79,94...
- Select the correct answer from each drop-down menu. Simplify the following polynomial expression. (3x2 – – 7) – (5.32 – 45 – 2) + (1 + 3)(x + 2) The polynomial simplifies to an ex...
- What is the slope (-5,5) and (5,1)...