Four hundred milligrams is equal to how many grams?
4 g
0.4 g
400,000 g
0.00004 g
Correct Answer : B
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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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 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
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 C
Explanation
In this problem, to find one side of the square garden, we use the calculator to find the square root of 13. Thus
Thus, the approximate side of a square garden is about 3.6 ft
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 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
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
The mean is the total divided by the number of elements in the data set. From the given data set:
Total=30+29+28+30+24+12+26+33+25+23=260
Number of items, N=10
Mean=total/N=260/10=26
The mean is 26.
Correct Answer is D
Explanation
We can interpret ‘cannot exceed” as less than ‘<’. Therefore, in our inequality, the symbol < must be included. Now let’s convert the word problem into a mathematical inequality.
Money spent on supplies=s
Money spent on textbooks=t
Total money spent=money spent on supplies + money spent on textbooks
Total money spent = s+t
But the money spent cannot exceed $12,000. Then,
s+t <$12,000.
However the money spent can still be equal to $12000, as it has not exceeded it.
Therefore, therequired inequality is s + t <= $12,000.
Correct Answer is B
Explanation
The whole pie chart represents 100%, which we use together with the given percentages to find the respective different sports. Note that 100% is equal to 500 surveyed students. The, the number of teenagers who prefer:
Soccer
Hockey
Football
Basketball
Other
From the evaluations above, 90 teenagers love soccer, 80 love hockey, 190 teenagers love football, 120 teenagers love basketball, and 20 teenagers love others.
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