A bucket containing 2 4/5 gallons of water is 1/3 full. How many gallons of water is in one fully filled bucket?
14/15
2 7/15
8 2/5
6 4/5
Correct Answer : C
We are asked to find the number of gallons full tank can hold. The fraction of full tank is 1.
First, we let x be the number of gallons in full tank. Then, set the proportion equation by setting the number of gallons on the numerator and fraction of tank on denominator as follows.
Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.
Converting 42/5 to a mixed fraction is 8 2/5. Thus, when the tank is full, it holds 8 2/5 gallons of water.
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Correct Answer is D
Explanation
The slope represent the ratio between the vertical height to the horizontal length. Let x be the minimum length of the ramp, we can set a proportion with height on the numerator and length on denominator. Then,
Cross-multiply to find the value of x
Thus, the minimum length of the ramp needed is 30 feet to access to a door that is 2.5 feet above the sidewalk.
Correct Answer is C
Explanation
We are asked to find the one of the lengths of a right-angled triangle, we use the Pythagoras theorem to find the unknown length.
First, we label the triangle as below and let the unknown length be x.
Then, we apply the Pythagoras theorem to find the value of x as:
The value of the unknown length is approximately 8.9 feet.
Correct Answer is D
Explanation
A change in number of credit hours result in a change in the amount of access fees, amount of tuition, and availability of student loans. Thus, number of credit hours is the independent variable.
Correct Answer is C
Explanation
The question requires us to find the percentage change in weight of a person.
First, we need to find the change in weight over the 3 months
Change in weight= 180-160=20 lb
Percent change in weight is change of original weight *100. Thus
The percent change in weight is 11% to the nearest whole number.
Correct Answer is C
Explanation
We need to find the price changes in each day of the week in order to find the price of the stock on Thursday.
Monday’s price was $50.33
Tuesday’s price went up by $2.35 from Monday’s price. The price was $(50.33+2.35)=$52.68
Wednesday’s price decreased by $1.07 from Tuesday’s price, and so the price of the stock was $(52.68-1.07)=$51.61
Thursday’s price increased by $0.75 from Wednesday’s price, which was $(51.61+0.75)=$52.36
Therefore, the price of the stock on Thursday was $52.36.
Correct Answer is A
Explanation
To find the greatest number from the given options, we first convert the decimal numbers into fractions.
-0.7 becomes 7/10
-1.3 becomes 13/10
Then, we find the LCM for the denominators of the given fractions. The LCM of 3 and 10 is 30. Now we can multiply each fraction with the LCM.
-2/3*30=-20
-7/10*30=-70
-13/10*30=-39
-4/3*30=-40
Comparing the obtained values from above, -20 is the greatest followed by -39, -40, -70 in that order. The fraction -2/3 gave a value of -20, which was the greatest value. Thus, -2/3 is the greatest value from the given option.
Correct Answer is D
Explanation
The probability of an event is determined by the relation
Finding the probability of drawing the red ball, we need to find the total number of balls in the bag.
Total number of balls in the bag=5+4+3=12 balls
The probability of drawing a red ball from the bag is 1/3.
Correct Answer is C
Explanation
We are asked to convert kg to pounds using the given relation. Letting x to represent the lb we are looking for.
Nest, we set the proportion with kg in the numerator and lb on the denominator as follows.
We find the value of x by cross-multiplication
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Explanation
We are being asked to find the amount of milk needed. This is a proportion problem, which compares the amount of flour to that of milk. Letting x represent the amount of milk required, we set up the proportion with flour on the numerator and amount of milk in denominator as follows:
Change the mixed fraction of 1 1/5 into improper fraction as follows
The proportion equation becomes
Cross-multiply to solve for x
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Correct Answer is A
Explanation
What fraction of the pizza the other three friends get is what is asked to find.
First, the pizza is whole, representing a value of 1. Then, one friend ate half of the pizza. Thun, the fraction of the pizza the friend gets is:
First friend eats =1/2 of 1=1/2
Remaining fraction of the pizza=1-1/2=1/2
Now, the three friends share ½ amongst themselves equally. Then, each friend gets
The three friends each gets 1/6 of the pizza.
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