Question

1 omar makes a total of $51.75 selling brownies and muffins at a bake sale. if he sells 16 brownies for $2.25 each, how many muffins does he sell at $1.75 each? 2 bruno recorded 9 songs on his most recent album. the total length of the album is 57 minutes. find a unit rate to represent the average length per song on the album. round to the nearest hundredth. 3 a popular brand of running shoes costs a local store $68 for each pair. if the store sells the shoes for $119, what is the percent of increase in the price? 4 the two quadrilaterals are similar. which proportion must be true? a. \LXI0 b. \LXI1 c. \LXI2 d. \LXI3 5 joan is a member of the bluebox dvd club and pays a monthly subscription fee of $32. each dvd rental costs an additional $2. for the month of october, joan paid a total of $68 to bluebox. how many dvds did joan rent during october? write and solve an equation. a. 18 b. 34 c. 32 d. 2 6 the temperatures for five days in fairbanks, alaska, are shown in the following table. list the days from least to greatest | day | temperature (°f) | | --- | --- | | monday | 1 | | tuesday | -11 | | wednesday | -25 | | thursday | -14 | | friday | 3 |

Explanation:

Problem 1

Step1: Calculate revenue from brownies

Revenue from brownies = Number of brownies × Price per brownie = \( 16 \times 2.25 = 36 \)

Step2: Calculate revenue from muffins

Let number of muffins be \( x \). Revenue from muffins = \( 1.75x \)

Step3: Total revenue equation

Total revenue = Revenue from brownies + Revenue from muffins. So, \( 36 + 1.75x = 51.75 \)

Step4: Solve for \( x \)

Subtract 36 from both sides: \( 1.75x = 51.75 - 36 = 15.75 \)
Divide by 1.75: \( x = \frac{15.75}{1.75} = 9 \)

Step1: Unit rate formula

Unit rate (average length per song) = Total length / Number of songs

Step2: Substitute values

Total length = 57 minutes, Number of songs = 9. So, unit rate = \( \frac{57}{9} \approx 6.33 \) (rounded to nearest hundredth)

Step1: Calculate increase in price

Increase = Selling price - Cost price = \( 119 - 68 = 51 \)

Step2: Percent increase formula

Percent increase = \( \frac{\text{Increase}}{\text{Cost price}} \times 100 = \frac{51}{68} \times 100 = 75\% \)

Answer:

9

Problem 2