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 find the net force, we choose east direction as positive and west as negative. From this, we can present the tag of war in the diagram below.
So, the force on the dog is -190 N and that of the girl is 165 N.
The net force is the sum of the two forces
The resulting force is negative, meaning it is in the west direction. Thus, the net force is 25 N to the west.
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 B
Explanation
total muffin is equal to the sum of the different muffins sold.
Total muffins=41+27+20=88 muffins
Thus, the bakery sold about 90 muffins.
Correct Answer is D
Explanation
Percentages always add up to 100%. If we let x be the percent of graduates working for jobs unrelated to law, then
74%+3%+2%+x=100%
79%+x=100%
Subtract 79% from both sides of the equation
79%-79%+x=100%
x=100%-79%
x=21%
So, the number of graduates working for jobs unrelated to law is 21%.
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 D
Explanation
Looking at the given trend, it is observed that the price increases with years. From 2008 to 2012, the price is fairly constant but we expect it to be more than $130,000 in the year 2016. The expected price in 2016 is $140,000.
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
From the given scenario:
Initial charge is $40
Additional charge per circular cloth=$5c
Additional charge per rectangular cloth=$3.50r
Total cost = additional charge per circular rectangular cloths + Initial charge
Total cost, T = 5c + 3.5r + 40
Correct Answer is B
Explanation
The best way to display the frequency of each day of the week when students get up after 8 a.m. is by using a bar graph. Bar graphs are well-suited for representing categorical data, where each day of the week is a separate category, and the height of each bar corresponds to the count or frequency of students waking up late on that specific day.
Note: Histograms, on the other hand, are more appropriate for visualizing continuous or numerical data and are not ideal for categorical data like days of the week.Histograms are useful for understanding the distribution of data, identifying patterns, and assessing the shape of the data distribution, such as whether it's normally distributed, skewed, or has multiple modes.
As you can see below, the Histogram is used to depict a pattern/continuous data. While a bar graph does just fine even with discrete data.
Correct Answer is B
Explanation
we are asked to change 400 mg to g. We use the conversion 1g=1000mg, which we can write as:
So, 400 mg to g becomes
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