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 A
Explanation
The probability of finding the probability of a yellow ball is given by
Total number of balls in the bag=2+3+7=12 balls
The probability of drawing a yellow ball from the bag is 7/12.
Correct Answer is A
Explanation
To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then
Width of the rectangle= w
Length of rectangle=(w+8)
Area of the rectangle, A= Length*width=(w+8)*w
A=w(w+8)
Thus, the area of the rectangular room is w(w+8).
Correct Answer is C
Explanation
A standard six-sided die has the numbers 1, 2, 3, 4, 5, and 6. The even numbers are 2, 4, and 6.
Step 1: Probability of rolling an even number on the first roll
There are 3 even numbers out of 6 total numbers, so:
P (evenonsecondroll) = 3/6 = ½
Step 2: Probability of rolling an even number on the second roll
Since rolling the die is an independent event, the probability remains:
P (evenonsecondroll) = 3/6 = ½
Step 3: Multiply the probabilities
P (evenonfirstANDevenonsecond) = ½ × ½ = ¼
Correct Answer is C
Explanation
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.
Correct Answer is D
Explanation
Given the equation F(z)=9z+28
To find the value of F(z), we need to vary the value of z. In this case, z is the independent variable while F(z) is what we measure, which is the dependent variable.
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 A
Explanation
Based on the given case, the outcome of measuring the duration of opening the bank is the amount of transaction, the number of deposits, and the number of loans available. The three outcomes are dependent variables while the number of opening hours is the independent variable.
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 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 D
Explanation
we use the calculator to determine the positive square root of 20, which is then multiplied by 20.
Using the calculator,
Multiplying the square root above with 5 becomes
The approximate value is 26.9.
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