The table shows the battery life of four different mobile phones:
Mobile Phone Battery Life
Phone Battery Life (hours)
A 20
B 25
C 10
D 18
If 8.45% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.8 hour of battery life used in a day? (1 point)
Phone A
Phone B
Phone C
Phone D
To find out which mobile phone uses 0.8 hours of battery life in a day, we can calculate 8.45% of the battery life for each mobile phone and compare it to 0.8 hours.
For Phone A: 8.45% of 20 hours = 0.0845 * 20 = 1.69 hours
For Phone B: 8.45% of 25 hours = 0.0845 * 25 = 2.1125 hours
For Phone C: 8.45% of 10 hours = 0.0845 * 10 = 0.845 hours
For Phone D: 8.45% of 18 hours = 0.0845 * 18 = 1.521 hours
From the calculations, we can see that the mobile phone for which 0.8 hour of battery life is used in a day is Phone C.
What is the first step needed to solve 4 over 7 multiplied by x minus 5 equals negative 13 ? (1 point)
Subtract 13 from both sides
Divide both sides by 7
Add 5 to both sides
Multiply both sides by 4
The first step needed to solve the equation 4/7 * x - 5 = -13 is to add 5 to both sides.
Michelle bought 76 pounds of cocoa powder for her bakery. Every day she used the same amount of cocoa powder to make bakery items. After 10 days, Michelle was left with 20.2 pounds of cocoa powder. On average, how many pounds of cocoa powder did Michelle use each day? (1 point)
5.58 pounds
7.45 pounds
9.62 pounds
12.6 pounds
To find the average amount of cocoa powder Michelle used each day, we need to divide the total amount of cocoa powder used by the number of days.
Total amount of cocoa powder used = 76 pounds - 20.2 pounds = 55.8 pounds
Number of days = 10 days
Average amount of cocoa powder used each day = Total amount of cocoa powder used / Number of days
= 55.8 pounds / 10 days
= 5.58 pounds
Therefore, Michelle used an average of 5.58 pounds of cocoa powder each day.
The sum of three consecutive numbers is 72. What is the largest of these numbers? (1 point)
23
25
26
28
Let's denote the smallest of the three consecutive numbers as x, the middle number as x + 1, and the largest number as x + 2.
The sum of the three consecutive numbers is given as x + (x + 1) + (x + 2) = 72.
Simplifying the equation, we have 3x + 3 = 72.
Subtracting 3 from both sides of the equation, we have 3x = 69.
Dividing both sides of the equation by 3, we have x = 23.
Therefore, the largest of the three consecutive numbers is x + 2 = 23 + 2 = 25.
Hence, the largest number is 25.
Jacob wants to use an elevator to carry identical packages having the same weight. Each package weighs 3 pounds and Jacob weighs 99 pounds. If the elevator can carry a maximum of 300 pounds at a time, which inequality shows the maximum number of packages, n, that Jacob can carry with himself in the elevator if he is the only passenger? (1 point)
n ≤ 67
n ≥ 67
n ≤ 198
n ≥ 198
To find the maximum number of packages, n, that Jacob can carry in the elevator, we need to determine the maximum weight he can carry and then divide that by the weight of each package.
Jacob weighs 99 pounds, and the elevator can carry a maximum of 300 pounds.
Therefore, the maximum weight Jacob can carry, including himself, is 300 - 99 = 201 pounds.
Since each package weighs 3 pounds, the maximum number of packages Jacob can carry is 201 / 3 = 67.
Thus, the maximum number of packages, n, that Jacob can carry is n ≤ 67.
Therefore, the correct inequality is n ≤ 67.
Shirley wants to buy a skateboard for $64. She has $98 in her account. She spent $10.85 to buy stationary. She also wants to buy some cookies for $1.65 each. What is the maximum number of cookies, n, that Shirley can buy so that she has enough money left to buy the skateboard? (1 point)
n ≥ 14
n ≤ 16
n ≤ 14
n ≥ 16