W hich of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply. (Lesson 1-11) A. 3 cm to 15 km D. 5 m
1 answer:
The corresponding scales are:
3 cm for 15 km translates to 1 cm for 5 km ⇒ answer A
5 mm for 2.5 km translates to 1 cm for 5 km ⇒ answer D
1 mm for 500 m translates to 1 cm for 5 km ⇒ answer E
Detailed explanation:
To engage with this problem:
1. Given that 1 cm is equivalent to 5 km, all provided answers must
be converted to cm and km
2. Determine the matching scales against the provided scale
A.
Since 3 cm indicates 15 km
- Divide both values by 3Thus, 1 cm indicates 5 km
3 cm for 15 km equates to 1 cm for 5 km
B.
Since 1 mm signifies 150 km
- Convert mm to cmSince 1 cm = 10 mm
Thus, 1 mm =So, 0.1 cm indicates 150 km
- Then multiply both by 10
So, 1 cm indicates 1500 km
1 mm to 150 km does not match with 1 cm to 5 km
C.
Since 5 cm signifies 1 km
- Divide both by 5Thus, 1 cm signifies 0.2 km
5 cm to 1 km does not match with 1 cm to 5 km
D.
Since 5 mm signifies 2.5 km
- Convert mm to cmSince 1 cm = 10 mmThus, 5 mm = cm = 0.5 cm
Therefore, 0.5 cm indicates 2.5 km
- Divide both by 0.5
Therefore, 1 cm represents 5 km
5 mm to 2.5 km corresponds to 1 cm to 5 km
E.
Since 1 mm signifies 500 m
- Convert mm to cm
Since 1 cm = 10 mm
So, 1 mm = cm = 0.1 cm
- Convert m to km
Since 1 km = 1000 m
Thus, 1 m = = 0.001 km
Thus, 500 m = = 0.5 km
Thus, 0.1 cm indicates 0.5 km
- Multiply both by 10
Thus, 1 cm represents 5 km1 mm to 500 m corresponds to 1 cm to 5 km
Learn more:
You might be interested in
Answer:
The correct selection is 1.
Step-by-step explanation:
The histogram indicates that
In the 5-10 age group, there are 7 students.
In the 11-13 age group, 5 students are represented.
In the 14-18 age category, 4 students are included.
This implies that the ages of 7 students fall within the 5-10 range, 5 students within the 11-13 range, and 4 students within the 14-18 range.
The total count in the dataset is
In options 3 and 4, the counts in the datasets are fewer than 16. Hence, options 3 and 4 are invalid.
Option 2 exclusively contains data within the 5-10 range, making it incorrect as well.
In option 1,
Class intervals elements frequency
5-10 5,6,7,8,9,10,10 7
11-13 11,11,12,12,13 5
14-18 14,14,15,16 4
Based on the above table, we can determine that data set 1 is represented in the provided histogram.
Thus, the answer is option 1.
Answer:
Step-by-step explanation:
Let the number of cans collected by Shane be x.
Thus, the number of cans collected by Abha is x + 178.
Given that a minimum of 2000 cans is required to be collected.
Therefore, we have the inequality,[ [TAG_19]]
Total cans by Shane + Total cans by Abha ≥ 2000.
That is,
Thus, the necessary inequality is .