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)
A) The passage discusses the prevalence of portable devices such as cell phones, laptops, and video game players. These devices require charging in order to be used on the go, and their battery power is indicated as a percentage. For example, the author mentions that their computer currently has 73% battery power. To represent this percentage as a decimal, it would be 0.73. To represent it as a simplified fraction, it would be 73/100 or 37/50.
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.
A)
A portable device refers to electronic devices like cell phones, laptops, and video game players that are easily carried around. These devices require charging in order to be used while on the go. The remaining battery power of these devices is usually displayed as a percentage, indicating how much power is left in the battery. For example, if a computer shows 73% battery power, it means that it has 73% of its total battery capacity remaining.
To represent 73% as a decimal, you can divide 73 by 100:
73 ÷ 100 = 0.73
Hence, 73% as a decimal is 0.73.
To represent 73% as a simplified fraction, you can write it as a fraction with the numerator being 73 and the denominator being 100:
73/100
Therefore, 73% as a simplified fraction is 73/100.
B)
After around 1,000 charging cycles, smartphone batteries tend to lose approximately one-fifth or 20% of their charging capacity. If a brand new phone has a battery percentage of 78%, the question asks what this percentage would be after 1,000 charging cycles. To calculate this, we need to find out what 78% minus one-fifth of 78% is:
78% - (1/5 * 78%) = 78% - (0.2 * 78%)
To simplify, calculate 0.2 * 78%:
0.2 * 78% = 0.2 * 0.78 = 0.156
Now subtract this value from 78%:
78% - 0.156 = 77.844%
Rounding to the nearest whole number, the phone's battery percentage would show 78% after 1,000 charging cycles.
C)
In the U.S., money values are represented using dollars and cents. There are 100 cents in a dollar, and amounts of money are generally displayed with at most two decimal places. However, gas prices may have more than two decimal places.
For example, if we have a gas price of $3.3842, we need to round it to the nearest cent, which is the hundredths place. In this case, the hundredths place is the digit after the second decimal place, which is 8. Since 8 is greater than or equal to 5, we round up the digit in the second decimal place by adding 1 to the digit before it:
$3.3842 rounds to $3.38 when rounded to the nearest cent.
B)
To calculate the cost of filling up the gas tank, we need to multiply the rounded gas price per gallon by the number of gallons the tank can hold.
Given that the rounded gas price from the previous question is $3.38 per gallon and the gas tank can hold 14.25 gallons:
Cost = $3.38/gallon * 14.25 gallons
= $48.165
Rounding the cost to the nearest cent, it would be $48.17.
C)
Expressing the price per gallon of gas as a mixed number would involve converting the decimal price into a mixed number format.
Given that the gas price is $3.38, we can write it as a mixed number by separating the whole number part from the fractional part. The whole number part is 3, and the fractional part can be obtained by subtracting 3 from 3.38:
0.38 = 38/100
Therefore, the price per gallon of gas can be expressed as 3 and 38/100.
Question 3:
A)
To calculate the total cost of the items you bought at Buc-ee's, you need to add up the prices of each item.
Large drink: $0.99
Cookie dough bites: $2.99
Phone charger: $10.25
Chicken wrap: $7.29
Adding these prices together:
$0.99 + $2.99 + $10.25 + $7.29 = $21.52
Hence, the total cost of your items is $21.52.
B)
To calculate the amount of tax you will pay for your items, you need to multiply the total cost by the tax rate, which is 6% (or 0.06 as a decimal).
Tax amount = $21.52 * 0.06 = $1.2912
Rounded to the nearest cent, the tax amount is $1.29.
C)
To find the total cost of your items, including tax, you need to add the total cost and the tax amount together:
Total cost with tax = $21.52 + $1.29 = $22.81
Therefore, the total cost of your items, including tax, is $22.81.
A) To convert a percentage to a decimal, you divide the percentage by 100. In this case, 73% would be 73 divided by 100, which equals 0.73. Therefore, 73% as a decimal is 0.73.
To convert a percentage to a simplified fraction, you can rewrite it as a fraction with a denominator of 100 and then simplify if possible. For example, 73% would be 73/100. To simplify this fraction, you can find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 73 and 100 is 1. Dividing both the numerator and denominator by 1 gives us the simplified fraction of 73/100.
B) The question states that after about 1,000 charges, smartphone batteries lose about one-fifth of their charging capacity. If a brand new phone is currently at 78%, we need to calculate what it would be after 1,000 charging cycles.
To solve this, we first need to determine one-fifth of 78%. To find one-fifth, we divide 78 by 5. This gives us 15.6%.
Next, we subtract 15.6% from 78% to find the new battery percentage. 78% - 15.6% equals 62.4%.
Since we need to round to the nearest whole number, we round 62.4% to 62%.
Therefore, the phone's battery percentage would show 62% after 1,000 charging cycles.
C) In order to round the gas price to the nearest cent, we need to look at the hundredths place. The given gas price is $3.3842. The digit in the hundredths place is 4.
To round to the nearest cent, if the digit in the hundredths place is 5 or greater, we round up. If it is less than 5, we round down. In this case, since the digit is 4, we round down.
So the rounded gas price would be $3.38.
D) To calculate the cost of filling up the gas tank, we multiply the rounded gas price ($3.38) by the number of gallons the tank can hold (14.25).
Using basic multiplication, we find that $3.38 x 14.25 equals $48.165.
Since we need to round the cost to the nearest cent, we round $48.165 to $48.17.
Therefore, it would cost $48.17 to fill up the tank using the rounded price of gas.
E) To express the price per gallon of gas as a mixed number, we divide the given price ($3.38) by 1.
To convert a decimal to a mixed number, we find the whole number part and the fractional part. In this case, the whole number part is 3, and the fractional part is the decimal part, 0.38.
Since the fractional part is less than 1, we can express it as a fraction. The fraction would be 38/100, which can be simplified to 19/50.
Therefore, the price per gallon of gas as a mixed number would be 3 19/50 dollars.
F) To find the total cost of the items, we add up the prices of each individual item.
0.99 + 2.99 + 10.25 + 7.29 equals 21.52.
Therefore, the items cost $21.52 in total.
G) To find the amount of tax, we need to multiply the total cost ($21.52) by the tax rate (6%) expressed as a decimal (0.06).
Using basic multiplication, we find that $21.52 x 0.06 equals $1.2912.
Since we need to round the tax amount to the nearest cent, we round $1.2912 to $1.29.
Therefore, the amount of tax you will pay is $1.29.
H) To find the total cost of the items, including tax, we need to add the total cost ($21.52) and the tax amount ($1.29).
$21.52 + $1.29 equals $22.81.
Therefore, the total cost of the items, including tax, is $22.81.