A child has a bottle full of pennies, nickels, dimes, and quarters. There are six as many quarters as pennies, two times as many as nickels as pennies, and 5 times as many dimes as nickels. How many more dimes does the child have than nickels?
4 times as many
5 times as many
20 times as many
10 times as many
Correct Answer : B
In this problem, we need to compare the number of dimes to quarters.
If we let p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 6p
Number of nickels in the bottle = 2p
Number of dimes in the bottle =5(2p)=10p
Now relating dimes to nickels, we have
Thus, there are 5 times as many dimes as quarters in the box.
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Correct Answer is D
Explanation
The length of the door could be appropriately measured in meters. Kilometers are used to measure long distances while millimeters could be used to measure the length of very small objects. However, liters are used to measure the volume of liquids or objects.
Correct Answer is C
Explanation
the percentage change in weight is found by calculating change in weight over original multiplied by 100%.
First, find the change in weight over the 3 months
Change in weight lost= 1860-130=30 lb
Thus
The percent change in weight is 19% to the nearest whole number.
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 final price of the stock on Thursday can be found by finding the price on the previous day taking into account the price changes as follows.
The price of the stock on Monday was $33.65
On Tuesday the price of the stock went up by $1.23 from Monday’s price. Then, Tuesday’s price was $(33.65+1.23)=$34.88
The price of the stock on Wednesday decreased by $0.97 from Tuesday’s price. The price on Wednesday became $(34.88-0.97)=$33.91
Thursday’s price increased by $2.75 from Wednesday’s price, which was $(33.91+2.75)=$36.66
Therefore, the final price of the stock on Thursday was $36.66.
Correct Answer is C
Explanation
we use the relation 1 L=1000 mL to convert 3.9 L to mL as follows.
Thus, 3.9 L is 3900 mL.
Correct Answer is D
Explanation
The range of a data set is calculated as:
Range=MaximumValue−MinimumValue
From the given bar graph:
- The minimum number of goals scored is 0.
- The maximum number of goals scored is 5.
Thus, the range is:
5−0=5
Correct Answer is A
Explanation
The perimeter of a shape is the sum of the lengths of all its sides.
Given Trapezoid:
- Top side: 10 cm
- Bottom side: 16 cm
- Left slant side: 5 cm
- Right slant side: 5 cm
Calculate the Perimeter:
10+16+5+5=36cm
Correct Answer is A
Explanation
percentages are fractions with denominator equal to 100. To get the decimal form of the percent given, e divide the value by 100.
The decimal form of 58.7% is 0.587.
Correct Answer is D
Explanation
We are asked to determine John’s uncle’s age relating to John’s age.
First, express John’s uncle’s age in terms of John’s age as follows
John’s age=k
John’s uncle’s age, u = 5k-12.
Thus, the relationship between Japheth’s uncle’s age to that of Japheth is u=5k-12.
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
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