Which of the following options correctly orders the numbers below from least to greatest?
235.971, 145.884, -271.906, -193.823
-271.906, -193.823, 145.884, 235.971
-271.971, 235.971, -193.823, 145.884
145.884, -193.823, 235.971, -271.906
-193.823, -271.906, 145.884, 235.971
Correct Answer : A
From the given options, we can arrange the numbers from the smallest to the largest as:
-271.906, -193.823, 145.884, 235.971
From the above, it can be noted that -271 is less than -193 while 235 is more than 145.
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Correct Answer is D
Explanation
we use the US customary system of units’ equivalent to convert from yards to inches. We know that 1yard=3 ft, and 1 ft =12 inches.
First, convert 2 ¾ into an improper fraction.
Then,
Correct Answer is A
Explanation
Let xxx be the amount the friend paid for their car. The problem states:
48,000=2x−2,000
Step 1: Solve for x
Add 2,000 to both sides:
48,000+2,000=2x
Divide by 2:
x=25,000
Correct Answer is A
Explanation
all products represent 100%. Then, the portion of defect products is:
0.0025 of 100%
‘of’ means multiply
0.0025 *100%=0.25%
Correct Answer is A
Explanation
Here we collect like terms together and solve for the unknown value of x.
7x-6=3x-26
Add 6 to both sides of the equation
7x-6+6=3x-26+6
7x=3x-20
Subtract 3x from both sides of the equation
7x-3x=-20
4x=-20
Divide both sides by 4
4x/-4=-20/4
x = -5
The value of x = -5
Correct Answer is A
Explanation
From the given problem,
49.5 pounds of fertilizer is needed to farm 1 acre of land. This can be interpreted as:
Or
Now we are needed to find the acres of land that will be farmed using 2000 pounds of fertilizers. To solve this, we use the second option as follows:
2000 pounds of fertilizers can farm approximately 40 acres of land.
Correct Answer is D
Explanation
Here, the athlete runs 6 miles in 51 minutes, which can be expressed as:
Now, in 90 minutes, the athlete will cover about
Therefore, the athlete runs about 10.6 miles in 90 minutes.
Correct Answer is A
Explanation
From the given options, we can arrange the numbers from the smallest to the largest as:
-271.906, -193.823, 145.884, 235.971
From the above, it can be noted that -271 is less than -193 while 235 is more than 145.
Correct Answer is A
Explanation
We are given that 1 teaspoon=4.93 mL, we can interpret it as:
Or
Since we are to find the amount in mL, we look for an option that will cancel teaspoon and remain with mL. The second option is the required conversion, and we proceed as follows:
Therefore, 2.5 teaspoons hold about 12.325 mL.
Correct Answer is D
Explanation
We use the properties of exponent with the same base to solve for above expression.
Multiplication of exponents with same base, we add the exponents
Division of exponents with same base, we subtract the exponents
Using these two properties, we can solve the expression:
Now we use the following properties:
y0 =1, and, thus
Correct Answer is B
Explanation
The median temperature can be found by organizing the temperature values from the smallest to the largest value as follows:
98.6, 98.7, 99.0, 99.0,99.2, 99.3, 99.7, 100.0
(for an even set of numbers, Median = frac{(frac{n}{2})th observation + (frac{n}{2} + 1) th observation}{2})
From the data set above, there are 8temperature values. The median is the temperature value in the middle position, which falls between the(frac{n}{2} th)and((frac{n}{2} + 1) th) position. Here N=8and median is found as:
(frac{(frac{n}{2})th + (frac{n}{2} + 1) th}{2} = )(frac{(frac{8}{2})th + (frac{8}{2} + 1) th }{2} = 4.5th position)
The element in the 4.5th position is the average of the 4th and 5th element.
(frac{99.0 + 99.2}{2} = 99.1)
Thus 99.1 is the median temperature.
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