Dillon studied 3 6/7 hours for his English test. He studied 5 3/14 hours for his math test. How much longer did he study for his math test? (Simplify the answer and write it as a mixed number.)
3 6/7 = 3 + 6 / 7 = 3 + 2 ∙ 6 / 2 ∙ 7 = 3 + 12 / 14 = 3 12/14
5 3/14 = 5 + 3 / 14 = 4 + 1 + 3 / 14 =
4 + 14 / 14 + 3 / 14 = 4 + 17 / 14 = 4 17/14
5 3/14 - 3 6/7 = 4 17/14 - 3 12/14 =
4 - 3 + 17 / 14 - 12 / 14 = 1 + 5 / 14 = 1 5/14
Choose an appropriate metric unit for the mass of concrete in a section of sidewalk.
A. Kilogram
B. Milligram
C. Gram
D. Meter
A. Kilogram
Which is likely to have a mass close to 3 kilograms?
A. small feather
B. five-year-old cat
C. grown elephant
D. peach
B. five-year-old cat
Which measure correctly completes the statement?
3,271.5 milligrams = ? grams
A. 0.032715 grams
B. 3.2715 grams
D. 327.15 grams
C. 32,7150 grams
A. 0.032715 grams
The drawing is composed of a rectangle and a semicircle. Find the area of the figure to the nearest unit.
A. 41 em
B. 220 em
C. 410 cm
D. 820 cm
We need the measurements to solve the question, but the options are all in different units (em and cm), so it's not possible to solve the question as presented.
Find the surface area of the rectangular prism with / = 12 m, w = 16 m, and h = 5 m.
A. 1,920 m2
B. 960 m2
C. 664 m2
D. 66 m2
Surface area of the rectangular prism = 2lw + 2lh + 2wh
= 2(12)(16) + 2(12)(5) + 2(16)(5)
= 384 + 120 + 160
= 664 m²
Answer: C. 664 m2
S= 21w + 21h + 2wh I = 15 w = 3 h = 4 Substitute those
numbers in for the variables, and solve to find the surface area. Be sure to include the square units at the end of your answer.
Substituting given values in the surface area formula, we get:
S = 21(15) + 21(4) + 2(15)(4)
S = 315 + 84 + 120
S = 519
Therefore, the surface area of the rectangular prism is 519 square units.
Which ones the answer?
The answer is:
S = 21(15) + 21(4) + 2(15)(4) = 519
Therefore, the surface area of the rectangular prism is 519 square units.
Cut the complex figure into three separate rectangles. You will then multiply the following
numbers: A = (23)(31) + (23)(31) + (19)(23) Message
me your final answer. Be sure to include your square units at the end!
If we draw two horizontal lines to cut the figure into three rectangles, we get:
```
|----------23----------|
| |--------31--------|
| | |
19 | |
| | |
| |--------31--------|
|----------23----------|
```
The left rectangle has length 19 and width 23.
The middle rectangle has length 31 and width 23.
The right rectangle has length 23 and width 31.
Therefore, the total area is:
A = (23 x 31) + (23 x 31) + (19 x 23)
A = 713 + 713 + 437
A = 1863
Hence, the final answer is 1863 square units.