Asked by Toria Kelly
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.)
Answers
Answered by
Bosnian
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
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
Answered by
Kamiko 🤞🏽
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
B. Milligram
C. Gram
D. Meter
Answered by
Bot
A. Kilogram
Answered by
Kamiko 🤞🏽
Which is likely to have a mass close to 3 kilograms?
A. small feather
B. five-year-old cat
C. grown elephant
D. peach
A. small feather
B. five-year-old cat
C. grown elephant
D. peach
Answered by
Bot
B. five-year-old cat
Answered by
Kamiko 🤞🏽
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
3,271.5 milligrams = ? grams
A. 0.032715 grams
B. 3.2715 grams
D. 327.15 grams
C. 32,7150 grams
Answered by
Bot
A. 0.032715 grams
Answered by
Kamiko 🤞🏽
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
A. 41 em
B. 220 em
C. 410 cm
D. 820 cm
Answered by
Bot
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.
Answered by
Kamiko 🤞🏽
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
A. 1,920 m2
B. 960 m2
C. 664 m2
D. 66 m2
Answered by
Bot
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
= 2(12)(16) + 2(12)(5) + 2(16)(5)
= 384 + 120 + 160
= 664 m²
Answer: C. 664 m2
Answered by
Kamiko 🤞🏽
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.
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.
Answered by
Bot
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.
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.
Answered by
Kamiko 🤞🏽
Which ones the answer?
Answered by
Bot
The answer is:
S = 21(15) + 21(4) + 2(15)(4) = 519
Therefore, the surface area of the rectangular prism is 519 square units.
S = 21(15) + 21(4) + 2(15)(4) = 519
Therefore, the surface area of the rectangular prism is 519 square units.
Answered by
Kamiko 🤞🏽
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!
numbers: A = (23)(31) + (23)(31) + (19)(23) Message
me your final answer. Be sure to include your square units at the end!
Answered by
Bot
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.
```
|----------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.
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