name :
1. what percentage of a dollar is the value of each coin combination?
a. 3 nickels
b. 2 dimes and 7 pennies
c. 6 quarters and 1 nickel

2. a. list three different combinations of coins, each with a value of 75% of a dollar.
b. list t...

3. complete the double number line to show percentages of $200.
money (dollars)
0
50
...

Question

name :
1. what percentage of a dollar is the value of each coin combination?
   a. 3 nickels
   b. 2 dimes and 7 pennies
   c. 6 quarters and 1 nickel

2. a. list three different combinations of coins, each with a value of 75% of a dollar.
   b. list t...

3. complete the double number line to show percentages of $200.
money (dollars)
0
50
...

Accepted Answer

### Problem 1
#### Part a: 3 nickels
# Explanation:
## Step 1: Find the value of 3 nickels
A nickel is worth 5 cents. So 3 nickels have a value of $ 3\times5 = 15 $ cents.
## Step 2: Calculate the percentage of a dollar
Since 1 dollar = 100 cents, the percentage is $ \frac{15}{100}\times100 = 15\% $.
# Answer: 15%

#### Part b: 2 dimes and 7 pennies
# Explanation:
## Step 1: Find the value of 2 dimes and 7 pennies
A dime is worth 10 cents, so 2 dimes are $ 2\times10 = 20 $ cents. A penny is worth 1 cent, so 7 pennies are 7 cents. The total value is $ 20 + 7 = 27 $ cents.
## Step 2: Calculate the percentage of a dollar
The percentage is $ \frac{27}{100}\times100 = 27\% $.
# Answer: 27%

#### Part c: 6 quarters and 1 nickel
# Explanation:
## Step 1: Find the value of 6 quarters and 1 nickel
A quarter is worth 25 cents, so 6 quarters are $ 6\times25 = 150 $ cents. A nickel is worth 5 cents, so 1 nickel is 5 cents. The total value is $ 150 + 5 = 155 $ cents. But since 1 dollar is 100 cents, we consider the value relative to 100 cents. Wait, actually, we can also think in dollars. 6 quarters is $ 6\times0.25 = 1.5 $ dollars and 1 nickel is $ 0.05 $ dollars, so total is $ 1.5 + 0.05 = 1.55 $ dollars. To find the percentage of 1 dollar, we calculate $ \frac{1.55}{1}\times100 = 155\% $.
# Answer: 155%

### Problem 2a
# Explanation:
75% of a dollar is 75 cents (since 1 dollar = 100 cents, $ 0.75\times100 = 75 $ cents). We need to find three different combinations of coins that add up to 75 cents.
- Combination 1: 3 quarters. Since 1 quarter is 25 cents, $ 3\times25 = 75 $ cents.
- Combination 2: 7 dimes and 5 pennies. 7 dimes is $ 7\times10 = 70 $ cents and 5 pennies is 5 cents, $ 70 + 5 = 75 $ cents.
- Combination 3: 15 nickels. Since 1 nickel is 5 cents, $ 15\times5 = 75 $ cents.
# Answer:
1. 3 quarters
2. 7 dimes and 5 pennies
3. 15 nickels

### Problem 3
(Assuming the double number line has percentages on one line and money (dollars) on the other, with 0 dollars corresponding to 0% and 50 dollars corresponding to some percentage. First, find what percentage 50 dollars is of 200 dollars. $ \frac{50}{200}\times100 = 25\% $. So the number line for money (dollars) and percentage would be:

| Money (dollars) | 0 | 50 | 100 | 150 | 200 |
|-----------------|---|----|-----|-----|-----|
| Percentage      | 0%| 25%| 50% | 75% | 100%|

To complete the double number line, we can use the ratio. For example, 100 dollars is $ \frac{100}{200}\times100 = 50\% $, 150 dollars is $ \frac{150}{200}\times100 = 75\% $, and 200 dollars is 100%. So we can fill in the missing marks. If the number line has equal intervals, from 0 to 50 is 50 dollars (25% increase), so the next marks would be at 100 dollars (50%), 150 dollars (75%), and 200 dollars (100%) on the money line, corresponding to 50%, 75%, and 100% on the percentage line.
# Explanation:
## Step 1: Find the percentage for 50 dollars
Calculate $ \frac{50}{200}\times100 = 25\% $. So 50 dollars is 25% of 200 dollars.
## Step 2: Determine intervals
The interval between 0 and 50 dollars is 50 dollars (25% increase). So the next money values would be 100, 150, 200 dollars, with corresponding percentages 50%, 75%, 100% (since $ \frac{100}{200}\times100 = 50\% $, $ \frac{150}{200}\times100 = 75\% $, $ \frac{200}{200}\times100 = 100\% $).
## Step 3: Complete the number line
Fill in the money and percentage values as per the intervals.
# Answer:
The completed double number line (example) is:

| Money (dollars) | 0 | 50  | 100 | 150 | 200 |
|-----------------|---|-----|-----|-----|-----|
| Percentage      | 0%| 25% | 50% | 75% | 100%|

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QUESTION IMAGE

Question

Explanation:

Problem 1

Part a: 3 nickels

Step 1: Find the value of 3 nickels

Step 2: Calculate the percentage of a dollar

Step 1: Find the value of 2 dimes and 7 pennies

Step 2: Calculate the percentage of a dollar

Step 1: Find the value of 6 quarters and 1 nickel

Answer:

Part b: 2 dimes and 7 pennies