(2 questions in one)
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)
Question 1:
A) 73% as a decimal would be 0.73.
B) 73% as a simplified fraction would be 73/100.
Question 2:
A) The gas price rounded to the nearest cent would be $3.38.
B) The cost to fill up the tank using the rounded gas price would be $48.17 (14.25 gallons * $3.38/gallon = $48.165, rounded to the nearest cent).
C) The price per gallon of gas, $3.38, expressed as a mixed number would be 3 38/100 or 3 19/50 (since 38/100 can be simplified to 19/50).
To answer the first question:
A) To express 73% as a decimal, divide 73 by 100: 73 ÷ 100 = 0.73. Therefore, 73% as a decimal is 0.73.
B) To express 73% as a simplified fraction, divide 73 by 100 and simplify: 73 ÷ 100 = 73/100, which does not simplify further. Therefore, 73% as a simplified fraction is 73/100.
To answer the second question:
A) To round the gas price of $3.3842 to the nearest cent, we look at the hundredths place. Since the digit in the thousandths place (8) is greater than or equal to 5, we round up the digit in the hundredths place. Therefore, $3.3842 rounds to $3.38.
B) To calculate the cost of filling up a 14.25-gallon tank using the rounded gas price of $3.38, we multiply the number of gallons by the price per gallon. Thus, 14.25 gallons × $3.38/gallon = $48.165. When rounded to the nearest cent, the cost of filling up the tank would be $48.17.
C) To express the price per gallon of gas as a mixed number, we divide the whole dollar amount (3) by the fractional part (38/100). This can be written as 3 ÷ (38/100). To divide by a fraction, we invert and multiply. Thus, 3 × (100/38) = 7.8947, which we can round to 7.89. Therefore, the price per gallon of gas can be expressed as 7 89/100 using a mixed number.
Question 1:
A) To convert 73% to a decimal, divide it by 100:
73% = 73/100 = 0.73
B) After 1,000 charging cycles, the smartphone battery loses one-fifth of its charging capacity. Therefore, the remaining capacity would be:
78% - (1/5 * 78%) = 78% - (0.2 * 78%) ≈ 78% - 15.6% = 62%
Question 2:
A) To round the gas price of $3.3842 to the nearest cent, examine the hundredths place, which is the second decimal place:
$3.3842 ≈ $3.38
B) To calculate the cost of filling up a 14.25-gallon tank with gas at the rounded price of $3.38 per gallon, multiply the number of gallons by the cost per gallon:
14.25 gallons * $3.38/gallon ≈ $48.17
C) To express the price per gallon of gas, $3.38, as a mixed number, separate the whole number and fraction parts:
$3.38 = 3 + 0.38 = 3 + 38/100 = 3⅜