The list shows the numbers of employees in the seven departments at a company.
14, 23, 54, 30, 26, 17, 26
What is the range of the numbers of employees in these departments?
Responses
A 6868
B 1212
C 4040
D 9
B (The range is the difference between the highest and lowest numbers in the set: 54-14 = 40)
The owner of a food cart sells an average of 60 frozen treats per day during the summer. Which graph best shows the relationship between the number of days and the number of frozen treats sold?
Responses
A DD
B AA
C CC
D BB
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D (BB)
The area of a rectangle is 55.5 square inches. The height of the rectangle is 15 inches. What is the length of the base of the rectangle in inches?
Responses
A 40.5 in40.5 in
B 3.7 in3.7 in
C 832.5 in832.5 in
D 6.5 in6.5 in
D (6.5 in)
Explanation:
We can use the formula for the area of a rectangle: A = l x w (length times width). We know that the area is 55.5 and the height is 15, so we can plug in these values and solve for the length:
55.5 = l x 15
Divide both sides by 15:
l = 55.5 ÷ 15
l ≈ 3.7
So the length of the base of the rectangle is approximately 3.7 inches.
Marty used a thermometer to record temperatures of -3.4° Celsius and 1.6° Celsius. Which temperature in degrees Celsius falls between the two temperatures Marty recorded?
Responses
A -5.4°C-5.4°C
B 3.9°C3.9°C
C -2.6°C-2.6°C
D 1.8°C
C (-2.6°C)
What is the value of 5/6 divided by 15/16
To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
So,
(5/6) ÷ (15/16) = (5/6) x (16/15)
We can simplify by canceling out the common factor of 5:
= (1/6) x (16/3)
= 16/18
We can simplify again by finding a common factor of 2:
= 8/9
Therefore,
5/6 ÷ 15/16 = 8/9
On Tuesday 27% of the customers who bought gas at a gas station made additional purchases. There were 300 customers who bought gas. How many of these 300 customers made additional purchases?
Responses
A 8181
B 219219
C 2727
D 273
D (81)
Explanation:
To find the number of customers who made additional purchases, we can multiply the total number of customers who bought gas by the percentage who made additional purchases:
300 x 0.27 = 81
Therefore, 81 of the 300 customers made additional purchases.
The list shows the numbers of employees in the seven departments at a company.
14, 23, 54, 30, 26, 17, 26
What is the range of the numbers of employees in these departments?
Responses
A 6868
B 4040
C 1212
D 9
B (40)
Explanation:
The range is the difference between the largest and smallest values in the set.
The largest value is 54 and the smallest is 14. So,
Range = 54 - 14 = 40
Therefore, the range of the numbers of employees is 40.
A grocery clerk put only packages of flour tortillas and packages of corn tortillas on a shelf. The ratio of the number of flour tortillas to the number of packages on the shelf was 5 to 9. Which number could be the number of packages of corn tortillas the clerk put on the shelf?
Responses
A 1818
B 2323
C 1414
D 32
D (32)
Explanation:
If the ratio of the number of flour tortilla packages to the total number of packages on the shelf is 5 to 9, this means that for every 5 packages of flour tortillas, there are 9 packages on the shelf in total.
We can set up a proportion to solve for the number of corn tortilla packages:
5/9 = x/total number of packages
We know that x is the number of corn tortilla packages, and we don't know the total number of packages. We can simplify the ratio by multiplying both sides by the total number of packages:
5/9 x total number of packages = x
We can plug in the answer choices for x and see which one gives us a ratio of 5/9 with the total number of packages:
For option D, if we have 32 packages of corn tortillas and 5 packages of flour tortillas (since the ratio is 5 to 9), then the total number of packages would be 32 + 5 = 37.
So the ratio would be:
5/9 = 5/9 x 37/37
which simplifies to:
5/9 = 5/9
Therefore, option D (32) could be the number of packages of corn tortillas the clerk put on the shelf.