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The list shows the thicknesses of several different types of art paper.
,begin bold,Thickness,end bold, (centimeters)
0.004
0.007
0.011
0.011
0.015
0.016
0.020
0.200
0.214
Question
What is the range of this set of data?
Answer options with 5 options
A.
0.055
B.
0.210
C.
0.214
D.
0.218
E.
0.498
The range of this set of data is 0.214 - 0.004 = 0.210.
Therefore, the correct answer is B. 0.210
What is 79,300 written in scientific notation?
Answer options with 4 options
A.
7.93 times 10 Superscript 4 Baseline
B.
7.93 times 10 Superscript 5 Baseline
C.
79.3 times 10 Superscript 4 Baseline
D.
79.3 times 10 Superscript 5 Baseline
79,300 written in scientific notation is 7.93 x 10^4.
Therefore, the correct answer is A. 7.93 times 10^4.
Sonya carried ,begin emphasis,all,end emphasis, the books weighing 2 and one-fourth pounds and 2 and three-eighths pounds to the library.
How many pounds of books did Sonya carry?
Answer options with 4 options
A.
4 and one-half pounds
B.
4 and five-eighths pounds
C.
6 and five-eighths pounds
D.
6 and seven-eighths pounds
To find the total weight of the books, we add 2 and one-fourth pounds (2 1/4) and 2 and three-eighths pounds (2 3/8).
To add the fractions, we need to find a common denominator. The least common multiple of 4 and 8 is 8.
2 1/4 = 2 * 4/4 + 1/4 = 8/4 + 1/4 = 9/4
2 3/8 = 2 * 8/8 + 3/8 = 16/8 + 3/8 = 19/8
Now we can add the fractions:
9/4 + 19/8 = (9 * 2)/(4 * 2) + 19/8 = 18/8 + 19/8 = 37/8
To simplify the fraction, we divide the numerator by the denominator:
37 รท 8 = 4 and 5/8
Therefore, Sonya carried 4 and five-eighths pounds of books.
The correct answer is B. 4 and five-eighths pounds.
Allison is 5 feet tall. One afternoon her shadow measured 2.5 feet. At the same time, the shadow of her favorite tree was 14.5 feet.
What is the height of the tree?
Answer options with 4 options
A.
7.25 feet
B.
12.5 feet
C.
17 feet
D.
29 feet
We can set up a proportion to find the height of the tree:
(Height of Allison) / (Length of Allison's shadow) = (Height of the tree) / (Length of the tree's shadow)
Let's plug in the values:
(5 feet) / (2.5 feet) = (Height of the tree) / (14.5 feet)
Now we can cross multiply:
2.5 * (Height of the tree) = 5 * 14.5
Simplifying the equation:
2.5 * (Height of the tree) = 72.5
Dividing both sides by 2.5:
Height of the tree = 72.5 / 2.5 = 29
Therefore, the height of the tree is 29 feet.
The correct answer is D. 29 feet.
A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends $28.20 on 5 mugs at the sale price.
Question
What was the price of 1 mug before the sale? Enter the answer in the box.