The table below shows the miles driven as a function of gallons of gas used, what does the ordered pair (6,144) represent?
The driver can go 24 miles in 1 hour
The driver can go 144 miles with 6 gallons of gas
The driver can go 6 miles with 144 gallons of gas
The driver can go 144 miles in 6 hours
Correct Answer : B
from the provided table, the first option represents the amount of gas in gallons while the second column shows the distance in miles. Thus, (6, 144) will denote that the car can 144 miles by consuming 6 gallons of a gas.
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Correct Answer is A
Explanation
to do a comparison of the given data set, we convert the fraction numbers into the approximate decimals.
4/3=1.333
2720=1.35
Now, we have 1.333, 1.35, 1.369, 1.357. These numbers are arranged from the smallest to the largest number, we look at the number in the second decimal place value
1.333 the number in second decimal place value is 3
1.35 the number in third decimal place value is 5
1.369 the number in third decimal place value is 6
1.357 the number in third decimal place value is 5
However, 1.35 and 1.357 have 5 in the second-place vale. We use the ird place value to compare the two number:
1.35 is same as 1.350 and the number in the third-place value is 0
1.357 the number in the third-place value is 7
Now, 0 is less than 7, and thus 1.35 is less than 1.357
Overall, 3 is less than 5, and 5 less than 6 and the provided numbers can be arranged from the smallest to the largest as:
1.333, 1.35, 1.357, 1.369
Thus, the corresponding given numbers organized from the smallest to the largest become:
4/3, 27/20, 1.357, 1.369
The greatest value is 1.369
Correct Answer is A
Explanation
We are given a mix of fractions and decimals and to compare the numbers, we convert the given decimals to fractions.
4.4 becomes 44/10
4.25 becomes 425/100
Now the set of fractions for comparison are: 9/2, 10/3, 44/10, and 425/100. The least common denominator for 2, 3 and 10 is 300. Then,
9/2*300=1350
10/3*300=1000
44/10*300=1320
425/10*300=1275
From the above products, 9/2 gives the greatest value when the fractions are compared with the least common denominator of the given denominators.
Correct Answer is D
Explanation
A teaspoon can approximately hold 5 mL.
Although the capacity of a teaspoon could be more or less, choice D remains the most correct answer as the other choices have amounts too much for a small teaspoon.
Correct Answer is D
Explanation
Round trip means to and from, which is twice the distance from home to a medical facility.
In one day, the round trip=19+19=38 miles
So, in 22 days, the round trip=38*22=836 miles.
The patient will cover 836 miles in 22 days.
Correct Answer is B
Explanation
In the simple interest, we utilize the following formula to find the simple interest after a period of time in years.
I=P*r*t
I is the interest
P=Principal or initial deposit
r=rate
t=time in years
From the given problem, P=$600, r=6%=6/100=0.06, t=5 years. Then
I=$600*0.06*5=$180
After 5 years, Pat will earn an interest of $180.
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
We need to find the length of the rectangle from the given area and width of the rectangle. Let L be length if the rectangle. Then,
Area of rectangle=Length*width
Substituting area=32 in2 and w=4 inches
32=L*4
32=4L
Divide both sides by 4
32/4=4L/4
8=L
The length of the rectangle is 8 inches.
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 C
Explanation
When dividing fractions, the division sign is changed into multiply sign and the first fraction is multiplied by the inverse of the second fraction.
Change division to multiply sign and find invers of 5/8. The inverse of a fraction is inverting the given fraction. The denominator becomes the numerator and the numerator becomes the denominator.
Correct Answer is B
Explanation
Here we are required to find the area of the square of sides 3.1 m. The square is a four-sided figure with each side equal and opposite sides making 90 degrees.
Area of the square =side*side
Side=3.1 m
Area of the square =3.1 m *3.1 m=9.61 m2
Note: 3.1 + 3.1 = 6.2 which is a wrong answer.
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