A child has collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters. Which of the following charts accurately organizes the number of coins?
A
B
C
D
Correct Answer : B
In this scenario, we use the given scale in the charts to find the number of each coin and selected the right number of coins the student collected. The second options shows that the child collected 50 pennies, 45 nickels, 25 dimes, and 5 quarters.
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Correct Answer is C
Explanation
to convert fraction to percent, we multiply the fraction with 100. Therefore, the percent equivalent of 5/8 is
Thus, 5/8 is equal to 62.5%.
Correct Answer is A
Explanation
we are needed to find the amount Lana is left with after spending and investing the rest using the given information.
Amount Lana spends = 80% of $60= 80/100 *60 = $48
Amount left to invest = $(60-48) = $12
Lana is left with $12, which she invests and earns a profit of 80%.
Profit earned = 80% of $12 = 80/100 * 12= $9.20
So, Lana will have $12 + $9.20 = $21.60
Correct Answer is C
Explanation
To find the true statement we need to analyze the given statements.
For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
For statement 2: the lowest points scored per game was in 1998-99 season. So, the statement is false.
For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is true.
Correct Answer is C
Explanation
To simplify the expression:
12+3×4−1+23
Step 1: Follow the order of operations (BODMAS)
Multiplication first:
3×4=12
23 = 2×2×2=8
Now the expression becomes:
12+12−1+8
Step 2: Perform addition and subtraction from left to right
- 12+12=24
- 24−1=23
- 23+8=31
The correct answer is 31.
Correct Answer is D
Explanation
a ratio can be converted to a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.
From the given information, the class has 15 girls and 13 boys. Thus, the ratio of girls to boys becomes:
In ratio form, girls: boys=15:13
Thus, the ratio of girls to boys in a class of 28 students is 15 to 13.
Correct Answer is A
Explanation
We use 1 L =1000 mL to convert between the two units. The conversion fractions of interconverting are:
And
Since we want to end up with millimeters, the second conversion is used in converting L to mL as:
Thus, 0.5 L is equivalent to 500 mL.
Correct Answer is D
Explanation
we use given information to find how much ammonia is need to make the specified solution.
We are told, one gallon of cleaning solution requires 6 oz of ammonia. In other words, we can express this as:
1 gallon of solution6 oz of ammonia
Or
6 oz of ammonia1 gallon of solution
Since we are needed to find how much ammonia is needed, we use the second option to find how much ammonia is required by 120 gallons of solution.
From the above equation, gallon of solution will cancel, and oz of ammonia is left.
Therefore, the solution will require 720 oz of ammonia.
Correct Answer is D
Explanation
To form an equation from the word problem, first break the given statement into smaller statements.
First, we are given the width of the rectangle as x. We are told, the length is three times width. Mathematically, this means
Length=3*width=3*x=3x
Again, the length is 4 less than 3 times width of the rectangle. Thus, the length of rectangle in terms of width becomes:
Length =3x-4
This is the required equation.
Correct Answer is A
Explanation
The initial step is to convert the decimal numbers into fractions.
4.4 becomes 44/10
4.25 becomes 425/100
Thus, the set of fractions is 9/2, 44/10, 10/3, 425/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.
9/2*300=1350
44/10*300=1320
10/3*300=1000
425/100*300=1275
From the above, 1350 is the greatest value which corresponds to 9/2. Thus, 9/2 is the greatest value of all the choices given.
Correct Answer is D
Explanation
The first three months of the year are January, February, and March. We need to find the total rainfall for these three months from the provided graph.
In the month of January, rainfall is between o and 1, which is halfway. Therefore, rainfall in January is 0.5 inches
On February, rainfall was 1 inch and on March the rainfall was 2 inches. Thus,
Total rainfall = 0.5 inches + 1 inches + 2 inches = 3.5 inches
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