An athlete drank 1/3 of a bottle of water in the morning. 3/4 of the bottle in the afternoon, and 3/10 of a bottle in the evening. How many bottles of water did he drink by the end of the day?
7/60
1 23/60
7/17
1 3/10
Correct Answer : B
Let's find how many bottles the athlete drank by adding the fractions:
+
+
Step 1: Find the common denominator
The denominators are 3, 4, and 10. The least common denominator (LCD) is 60.
Step 2: Convert each fraction
=
;
=
;
=
Step 3: Add the fractions
+
+
=
=
Step 4: Simplify if needed
= 1
Therefore, the correct answer is B) 1 23/60
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Related Questions
Correct Answer is C
Explanation
Step 1: Find the area of the rectangular walkway
Width = 5 feet
Length = 25 feet
Areawalkway=5×25=125 ft2
Step 2: Find the area of the square patio
Width = 10 feet
Length = 10 feet
Areapatio=10×10=100 ft2
Step 3: Add the two areas
125+100=225 ft2
Therefore, the correct answer is C) 225 ft²
Correct Answer is B
Explanation
To find the average speed in miles per hour:
Given:
- Distance = 7.125 miles
- Time = 10 minutes
Step 1: Convert time from minutes to hours:
10minutes= =
hours
Step 2: Use the formula for speed:
Speed= =
=7.125×6 =42.75mph
Therefore, the correct answer is B) 42.75 mph
Correct Answer is A
Explanation
Let's find the number of calories from fat per tablespoon of salad dressing.
Step 1: Calculate calories from fat in one serving (2 tablespoons)
80×0.875=70calories
Step 2: Find calories from fat per tablespoon
=35calories
Therefore, the correct answer is A) 35
Correct Answer is C
Explanation
To find the area of the rectangle, multiply the width by the length:
Width = 5 units
Length = y+2 units
Area=5×(y+2)=5y+10
Therefore, the correct answer is C) 5y+10 square units
Correct Answer is A
Explanation
Let's find the worker's take-home pay after a 15% deduction.
Given:
- Weekly salary = $250
- Deduction = 15%
Step 1: Calculate the amount deducted
15%×250=0.15×250=37.5
Step 2: Subtract deduction from salary
250−37.5=212.5
Therefore, the correct answer is A) $212.50
Correct Answer is C
Explanation
Let's find how much longer it takes to go from Lane to Benville than from Harborton to Lane.
Step 1: Convert mixed numbers to improper fractions.
- 3 ¼ =13/4​ hours
- 5 2/3 =17/3​ hours
Step 2: Find the difference:
17/3−13/4
Step 3: Find common denominator, which is 12:
17/3 = 68/12,
13/4 = 39/12
Step 4: Subtract:
68/12−39/12=29/12
Step 5: Convert to mixed number:
29/12 = 2 5/12
Correct Answer is C
Explanation
To find the number of ounces in 3 pounds, given that 1 ounce = 0.0625 pounds:
Step 1: Use the conversion formula:
Numberofounces = =
Step 2: Calculate:
= 48
Therefore, the correct answer is C) 48
Correct Answer is C
Explanation
To find the median quiz grade, we first need the total number of grades and then locate the middle value.
Step 1: Calculate total frequency
3+8+10+19+30=70
There are 70 grades in total.
Step 2: Find the middle position
Since 70 is even, the median is the average of the 35th and 36th values.
Step 3: Find the quiz grade at positions 35 and 36
Now, calculate cumulative frequencies:
- Up to 60: 3
- Up to 70: 3 + 8 = 11
- Up to 80: 11 + 10 = 21
- Up to 90: 21 + 19 = 40
- Up to 100: 40 + 30 = 70
The 35th and 36th grades fall into the group with quiz grade 90 (since cumulative frequency reaches 40 at 90).
Therefore, the correct answer is C. 90
Correct Answer is D
Explanation
Let's find the average rate of change per month.
Step 1: Calculate the change in balance
1450−1140=310
Step 2: Calculate the number of months between March 15 and August 15
From March 15 to August 15 is 5 months.
Step 3: Calculate the average rate of change per month
​= 62
Therefore, the correct answer is D) $62
Correct Answer is D
Explanation
Let's solve the probability that an RN is a male based on the table:
|
PN |
RN |
|
|
Male |
30 |
50 |
|
Female |
50 |
70 |
Step 1: Find total number of RNs
Male RNs = 50
Female RNs = 70
Total RNs = 50 + 70 = 120
Step 2: Find probability an RN is male
P(RNismale) =
= =
Therefore, the correct answer is D) 5/12
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