write an explanation-
A)Almost everyone has a portable device these days. Cell phones, laptops, and video game players are some of these devices. We charge these devices so that we can use them on the go. The amount of remaining batter power is usually shown on these devices. The devices usually show the battery power left as a percentage. My computer is at 73% battery power. (2 points) 73% as a decimal would be . 73% as a simplified fraction would be B)After about 1,000 charges, smartphone batteries lose about one-fifth of their charging capacity. A brand new phone is currently at 78%. What would this phone's battery percentage show after 1,000 charging cycles? (round to the nearest whole number)(1 point) Responses 16% 16% 78% 78% 62% 62% 100% 100% Question 2 A)In the U.S., we represent money values with dollars and cents. There are 100 cents in a dollar. Amounts of money are represented with at most two decimal places (Ex: $4.25). Gas prices are often shown to have more than two decimal places. A gallon of gas costs $3.3842 at Buc-ee's in Daytona Beach, Florida. Use this gas price to round the gas price to the nearest cent (hint: the nearest cent is the hundredths place). (1 point) 0 / 50 Word Limit B)You need to stop for gas at Buc-ee's and your car has a gas tank that will hold 14.25 gallons. It is on empty. How much will it cost to fill up the tank using the rounded price of gas from the previous question? You will need to round your cost to the nearest cent. (1 point) Responses $48.22 $48.22 $48.17 $48.17 $4.22 $4.22 $48.50 $48.50 C)Express the price per gallon of gas as a mixed number. Use $3.38 as the price. (You can use the ∑ symbol to type in a fraction). (1 point) 0 / 50 Word Limit Question 3 A)You are shopping in Buc-ee's after you filled up your gas tank and find some things you want to buy. You buy a large drink for $0.99, some cookie dough bites for $2.99, a phone charger for $10.25, and a chicken wrap for $7.29. How much do your items cost all together? (1 point) 0 / 50 Word Limit B)Now you need to find how much tax you will pay for your items. Use your total cost from the previous question and find the amount of tax you will pay if the tax rate is 6%. (Hint: remember to change the percent to a decimal). Round to the nearest cent. (1 point) Responses $129.12 $129.12 $12.91 $12.91 $1.29 $1.29 $0.13 $0.13 C)What is the total cost of your items, including tax? (1 point)
1 answer
B) According to the passage, smartphone batteries lose about one-fifth of their charging capacity after approximately 1,000 charges. If a brand new phone is currently at 78% battery power, we need to calculate how much it would show after 1,000 charging cycles. The correct answer would be 62%, as the battery power decreases by one-fifth of 78% each time.
Question 2:
A) The passage mentions that in the U.S., money values are represented with dollars and cents, and amounts of money are rounded to at most two decimal places. The given gas price at Buc-ee's in Daytona Beach, Florida is $3.3842. To round this gas price to the nearest cent, we consider the hundredths place, which is 8. Since 8 is equal to or greater than 5, we round up to the nearest cent. Therefore, the rounded price would be $3.39.
B) In this question, we are given that the car's gas tank can hold 14.25 gallons and it is empty. We need to calculate the cost of filling up the tank using the rounded gas price. Multiplying the rounded gas price of $3.39 by 14.25 gallons, we get $48.2175. When rounding this cost to the nearest cent, it would become $48.22.
C) Expressing the price per gallon of gas as a mixed number using the given price of $3.38, we divide 3.38 by 1. The quotient will be the whole number part of the mixed number ($3), and the remainder will be the fractional part. Converting the remainder (0.38) to a fraction, we have 0.38/1. Simplifying this fraction, we get 19/50. Therefore, the price per gallon of gas would be $3 and 19/50.
Question 3:
A) In this question, we are provided with the costs of different items purchased at Buc-ee's. Summing up the costs of a large drink ($0.99), cookie dough bites ($2.99), a phone charger ($10.25), and a chicken wrap ($7.29), we find that the total cost of the items is $21.52.
B) The question states that the tax rate is 6%. To calculate the amount of tax, we need to find 6% of the total cost. Converting 6% to a decimal, it becomes 0.06. Multiplying 0.06 by $21.52, we get $1.2912. Rounding this amount to the nearest cent, it would be $1.29.
C) To determine the total cost of the items, including tax, we add the total cost of the items ($21.52) to the tax amount ($1.29). The correct answer would be $22.81.