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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Related Questions
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
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.25 becomes 625/100
7.4 becomes 74/10
The LCM for the denominators of 8, 100, 7, and 10 is 2800. Now we can multiply each fraction with the LCM.
3/8*2800=1050
625/100*2800=17500
10/7*2800=4000
74/10*2800=20720
The fraction 7.4is the greatest of all.
Correct Answer is A
Explanation
we find the value of x by applying the absolute conditions to the given equation.
First, add 2 to both sides of equation
Add 10 to both sides of the equation
Next, we apply the absolute rule:
If u=a, a>0, then u=a or u=-a
In this case a=5, which is greater 0.
The first condition becomes
Solving for x
The second condition becomes
Solving for x
Then, the value of x is -4/3 or 2.
Correct Answer is D
Explanation
Let the unknown length of the x. The resulting rectangle is shown below.
Then, we apply the Pythagoras theorem to find the value of x as:
The value of the unknown length is approximately 17.7 feet.
Correct Answer is A
Explanation
To find the minimum length requires, we need to understand what slope in the question represents. The slope represents the ratio between the height to the length. Let x be the minimum length of the ramp. Then,
Now, we find the value of x by cross-products as follows
Thus, the minimum length required to provide access is 60 feet.
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 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 A
Explanation
We follow the order of operations to solve the given expression.
First, we start with the numerator and solve it as follows
[3(2+6*4)]
We start with multiplication in inner brackets, 6*4=24. The expression becomes
[3(2+24)]
Then, we conduct the addition of 2+24=26. Then, the expression becomes
[3(26)]=3*26=78
Now, we solve for denominator, which is 26/2=13.
Thus, the expression is reduced into
\(\frac{[3(2+6\ast4)]}{(26\div2)}=\frac{78}{13}=6\)
The expression reduces into 6.
Correct Answer is B
Explanation
we need determine the radius of the circle before we can find the circumference of the circle from the given area.
Let r be the radius of the circle, then
Substituting the value of area
Dividing both sides by pi and taking square root on both sides yields
Now, the radius of the circle is 8 in. and the circumference of the circle is given by the relation:
Correct Answer is A
Explanation
A histogram depicts the frequency of a one variable over the other while a bar graph is used to compare two variables with vertical axis representing the heights. Therefore, a histogram will be used to represent percent of the number of students reading after 9.
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