-2/9, -0.9, -1.7, -4/7
Of the number listed above, which number is the greatest?
-0.9
-4/7
-1.7
-2/9
Correct Answer : D
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.
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Correct Answer is C
Explanation
we are asked to find the number of students enrolled in the nursing program using the percentages in the pie chart.
If we let x represent the number of students enrolled in the nursing program, we set a proportion equation with number of students on the numerator and percentages on the denominator.
Total percent in the pie chart is 100%, which equals 800 students. Then, 42% will represent
We solve the value of x by cross-multiplying the equation above.
Therefore, 336 students will enroll for a nursing program.
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 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 A
Explanation
The number of boxes is found by volume of the room divided by volume of one box.
Number of boxes
The room can hold 125 boxes.
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.
Correct Answer is B
Explanation
 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.
Correct Answer is D
Explanation
To round 24.375 kg to the nearest tenth (0.1 place), follow these steps:
- Identify the tenth place in 24.375:
- Tenth place: 3 (24.375)
- Hundredths place: 7 (the next digit after the hundredths place)
- Apply rounding rules:
- If the hundredths place is 5 or greater, round up the tenth place.
- Since 7 is in the hundredths place, round 24.3 up to 24.4.
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
we are asked to find the number of cups of flour that will be used to make 130 cookies.
First, we convert 3 ¼ into improper fraction as:
Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:
Solve the value of x by cross-products
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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.
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