1.IN a given training week, a swimmer completes 1/4 mile on day one, 2/5 mile on day two, and 3/7 mile on day three. How many total miles does the athlete swim in the given week?
a. 151/140 miles
b.3/70 miles
c.3/8 miles
d.37/35 miles
2. The temperature on one day in January for Phoenix. Az is 42 degrees farenheit. On the same day in Barrow, AK the temperature is -31 degress fahrenheit . What is the difference between these two temperature?
a.-11 degrees fahrenheit
b.-31 degrees fahrenheit
c.11 degrees fahrenheit
d.73 degrees fahrenheit
3.A clothing store offers a 10% discount on all purchases. What is the discount in dollars (before tax) for an item originally costing $22.00 dollars?
a.$24.20
b.$41.80
c.$19.80
d.$2.20
4. A taxi company charges $2.40 for the first mile and $1.20 per mile for each additional mile. How much would the bill be for a 15 mile trip?
a.$19.20
b.$20.40
c.$34.80
d.$54.00
Which of these questions don't you understand?
Hi Ms Sue I am confuse right now for #1 my answer was b. #2 a and c #3 c and a #4 b
1. Wrong. The common denominator is 140.
2. Wrong. 42 dropping to 0 is a 42 degree drop. Then it dropped another 31 degrees.
3. Wrong. Read the question carefully.
4. Right.
17 degree
To find the answer to each question, we'll go through the steps one by one. Let's start with question 1.
1. The swimmer completes 1/4 mile on day one, 2/5 mile on day two, and 3/7 mile on day three. To find the total miles swum, we need to add these fractions together.
First, we need a common denominator for the fractions. The least common multiple (LCM) of 4, 5, and 7 is 140. So, we'll convert each fraction to have a denominator of 140.
- 1/4 mile becomes (1/4) * 35/35 = 35/140 mile
- 2/5 mile becomes (2/5) * 28/28 = 56/140 mile
- 3/7 mile remains the same
Next, we add these fractions together:
Total miles = 35/140 + 56/140 + 3/7 = (35 + 56 + 60)/140 = 151/140 miles
Therefore, the athlete swims a total of 151/140 miles in the given training week.
The answer is (a) 151/140 miles.
Now let's move to question 2.
2. The temperature in Phoenix is 42 degrees Fahrenheit, and in Barrow, it is -31 degrees Fahrenheit. To find the difference between these two temperatures, we need to subtract the lower temperature from the higher temperature.
Difference = 42°F - (-31°F) = 42°F + 31°F = 73°F
Therefore, the difference between the temperatures is 73 degrees Fahrenheit.
The answer is (d) 73 degrees Fahrenheit.
Next, let's tackle question 3.
3. The clothing store offers a 10% discount on all purchases. To find the discount in dollars for an item originally costing $22.00, we need to calculate 10% of $22.00.
Discount = 10% of $22.00 = (10/100) * $22.00 = $2.20
Therefore, the discount in dollars for the item before tax is $2.20.
The answer is (d) $2.20.
Finally, let's solve question 4.
4. The taxi company charges $2.40 for the first mile and $1.20 per mile for each additional mile. For a 15-mile trip, we need to calculate the cost of the first mile and the cost of the additional 14 miles.
Cost of the first mile = $2.40
Cost of additional 14 miles = $1.20 * 14 = $16.80
Total bill = Cost of the first mile + Cost of additional 14 miles = $2.40 + $16.80 = $19.20
Therefore, the bill for a 15-mile trip would be $19.20.
The answer is (a) $19.20.