1. A local pizzeria sold 75 pizzas yesterday. (a) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today.
How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.
Show your work!
(b) Suppose the actual number of pizzas sold today was 66. Describe the number of pizzas sold as a
percent increase or decrease. Show your work!

2. The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The
cost is $25 for each room.
(a) Write an equation to represent the cost. Show your work!
(b) How many rooms can a hotel pay the company to clean for $200? Write and solve an equation. Show
your work!
(c) Suppose the hotel plans to tip the carpet cleaners $25. In that case, how many rooms can the hotel
get cleaned for $200? Write and solve an equation. Show your work!

Btw the a and b are not answer choices and fast pls I will give you brainliest
Thank you so much.

1. (a) 90 pizzas

(b) The percentage decrease in the number of pizzas sold is approximately  15.4%

2. (a) 8 rooms

(c) 7 rooms

Step-by-step explanation:

(a) The number of pizzas sold yesterday = 75 pizzas

The percentage increase in the number of pizzas sold for which the owner promises a bonus = 20%

Therefore, the percentage of pizzas the pizzeria must sell for employees to receive a bonus = 100% + 20% = 120% of the number of pizzas sold the previous day

Therefore;

The number of pizzas the pizzeria must sell = Required percentage/100 ×  (Specified number of pizzas)

The number of pizzas the pizzeria must sell = 120/100 × 75 = 90 pizzas

(b) Given that the actual number of pizzas sold = 66 pizzas

Therefore, the change in the number of pizzas sold = 78 - 66 = 12

Which shows that the decrease in the number of pizzas sold = 12

The percentage decrease in the number of pizzas sold = 12/78 × 100 ≈ 15.4%

2. (a) The cost of cleaning the carpet = $25 per room

Therefore, the total cost of cleaning x rooms is y = x × 25

The equation that represents the total cost is y = x × 25

(b) Whereby the amount the hotel is paying the cleaning company $200, the number of rooms the cleaning company is to clean is given as follows;

200 = x × 25

∴ x = 200/25 = 8

The number of rooms the hotel can pay the cleaning company to clean for $200 = x = 8 rooms

(c), Whereby the hotel is giving a $25 tip out of the $200, to the carpet cleaners, we have;

The total amount remaining for the hotel to pay for the cleaning of the rooms is $200 - $25 = $175

The number of rooms the hotel can get cleaned at $175 will clean is therefore, given as follows;

175 = x × 25

x = 175/25 = 7

The number of rooms the hotel can get cleaned at $175 will clean = x = 7 rooms

The number of rooms the hotel can get cleaned at $200 including tipping of the cleaners = 7 rooms.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value

a

step-by-step explanation: