Three friends are sharing a pizza. One friend eats half of the pizza. The other two friends equally divide the rest among themselves. What portion of the pizza did each of the other two friends receive?
1/6
1/3
¼
1/5
Correct Answer : C
we need to find the portion of pizza shared by two other friends.
We know that a whole pizza represents 1 and one friend eats half of it. So, the remaining amount left to other two friends is
Remaining fraction of the pizza=1-1/2=1/2
Now, the two friends share ½ amongst themselves equally. Then, each friend gets
The two friends each gets 1/4 of the pizza.
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Related Questions
Correct Answer is D
Explanation
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows
If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Cross-multiply to find the value of x.
Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.
Correct Answer is D
Explanation
The initial step is to convert the decimal options to fractions. Then, we find the LCM of the denominators of all fractions, which will be used to compare the values of the given options.
-0. becomes -9/10
-1.7 becomes -17/10
Then, the resulting denominators are 9, 10, and 63. Their LCM of 630 is used to multiply each fraction.
-2/9*630=-140
-9/10*630=-567
-17/10*630=-1071
-4/7*630=-360
From the calculations above, -140 is the greatest value of all the values. Thus, -2/9 is the greatest number.
Correct Answer is D
Explanation
The range is a simple measure of statistical dispersion that shows the spread between the highest and lowest values in a data set.
Formula for Range:
Range=MaximumValue−MinimumValue
Example Calculation:
From the given box plot:
Identify the maximum value: 92
- Identify the minimum value: 12
- Subtract the minimum from the maximum: 92−12=80
Thus, the range of this data set is 80.
Correct Answer is D
Explanation
the mean of a data set is the total scores divided by the number of tests.
Total test scores =80+68+74+87+96=405
Number of tests =5
Mean test score =405/5=81
The mean test score is 81.
Correct Answer is A
Explanation
To determine the correct coordinates of the point shown on the graph, follow these steps:
- Identify the x-coordinate: Count the number of units the point is to the right or left of the y-axis. The point is at 5 on the x-axis.
- Identify the y-coordinate: Count the number of units the point is above or below the x-axis. The point is at -8 on the y-axis.
- The correct coordinates are (5, -8).
Looking at the answer choices:
- A. (5, -8) → Correct
- B. (-5, 8) → Incorrect
- C. (-8, 5) → Incorrect
- D. (8, -5) → Incorrect
Final Answer:
A. (5, -8)
Correct Answer is A
Explanation
To estimate the total amount, round each price to the nearest dollar:
- Hat: $19.49 → $19 (since 0.49 rounds down)
- Shirt: $21.49 → $21 (since 0.49 rounds down)
- Shoes: $59.99 → $60 (since 0.99 rounds up)
Now, add the rounded values:
19+21+60=10019 + 21 + 60 = 10019+21+60=100
Correct Answer is D
Explanation
We are asked to make w the subject of the formula.
First, we rearrange the equation by to ensure w is on the right hand of the equation.
Then, divide both sides by r
Multiply both sides by y
The above equation can be rearranged into
Thus, the formula for finding the value of w is (x/ry)-(z/r).
Correct Answer is B
Explanation
To determine the number of sophomore students, follow these steps:
- Identify the total number of students:
1,276
- Identify the percentage of sophomores:
29%
- Calculate the number of sophomores:
(29%×1,276) = (29/100× 1,276) = 370.04
- Round to the nearest whole number:
370
Correct Answer is B
Explanation
we convert the given value in yards to the cm by setting up the equation below.
2 yards is equal to 182.88 cm, which is approximately 180 cm.
Correct Answer is B
Explanation
To find the amount of vanilla in mL, we set up an equation in a way the unwanted units cancel out and leave the wanted unit we are looking for. Then,
Thus, a recipe of 6 teaspoons equals 29.58 mL.
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