A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, four times as many as nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?
4 times as many
5 times as many
20 times as many
10 times as many
Correct Answer : D
In this problem, we need to compare the number of dimes to quarters.
If we let n be number of pennies in the bottle. Then,
Number of quarters in the bottle = 2n
Number of nickels in the bottle = 4n
Number of dimes in the bottle =5(4n)=20n
Now relating dimes to quarters, we have
Thus, there are 10 times as many dimes as quarters in the box.
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Correct Answer is D
Explanation
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Correct Answer is A
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
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As an mixed fraction, 36/5 becomes 7 1/5. Therefore, 7 1/5 cups of milk are needed to make a big batch of 2 cups.
Correct Answer is C
Explanation
An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, t is an independent variable, which when changed changes the values of the f(t).
Correct Answer is C
Explanation
We are asked to make x the subject of the formula.
First, we add z to both sides of the equation
Multiply both sides by y
The above equation can be rearranged into
Thus, the formula for finding the value of x is y(z+rw).
Correct Answer is C
Explanation
We need to find the are of the rectangle from the given case. Letting x represent the width of the rectangle. Then, we can find the area of the rectangle as follows.
Length of rectangle=(x+5)
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Correct Answer is A
Explanation
To find the cost-effective option, we need to find how much the consumer will spend for the given options:
2 packs of Orange and 1 pack of Cream Soda will cost $18+$5= $23
3 Packs of Orange will cost $18+$10=$28
2 packs of Root Beer and 1 pack of Cream Soda will cost 2($12)+$5=$29
5 packs of cream Soda will cost 5($5)=$25
From the above evaluation, the consumer will spend $23 for a cost effective package of soft drinks. Thus, 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.
Correct Answer is D
Explanation
We convert the given value in yard to the cm using the following set up.
The value 91.44 cm is close to 90 cm. Therefore, 1 yard is approximately 90 cm.
Correct Answer is B
Explanation
We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.
Add 10 to both sides of the equation
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,  a>0, then u=a or u=-a
In this case a=12, which is greater 0. Then, the first condition becomes
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Correct Answer is B
Explanation
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Using the calculator,
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Correct Answer is C
Explanation
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