Answer :
Sure! Let's go through each part of the homework question step-by-step.
### Homework
1. Evaluate [tex]\( d \div 20 \)[/tex] for [tex]\( d = 300 \)[/tex]:
To solve this, you simply divide 300 by 20.
[tex]\[
\frac{300}{20} = 15.0
\][/tex]
So, the answer is 15.0.
2. Evaluate [tex]\( d \div c = \frac{\partial}{2} \)[/tex].
This can be interpreted as dividing [tex]\( d \)[/tex] by [tex]\( c \)[/tex] and then dividing the result by 2. Given [tex]\( d = 300 \)[/tex] and [tex]\( c = 0.6 \)[/tex]:
[tex]\[
\frac{300}{0.6} = 500
\][/tex]
Then divide by 2:
[tex]\[
\frac{500}{2} = 250.0
\][/tex]
So, the answer is 250.0.
3. Evaluate [tex]\( 150 \times c \div d \)[/tex] for [tex]\( c = 0.6 \)[/tex] and [tex]\( d = 300 \)[/tex]:
First, multiply 150 by 0.6:
[tex]\[
150 \times 0.6 = 90
\][/tex]
Then divide by 300:
[tex]\[
\frac{90}{300} = 0.3
\][/tex]
So, the answer is 0.3.
4. Evaluate [tex]\(\frac{d}{1.5} \times 25\)[/tex]:
First, divide 300 by 1.5:
[tex]\[
\frac{300}{1.5} = 200
\][/tex]
Then multiply by 25:
[tex]\[
200 \times 25 = 5000.0
\][/tex]
So, the answer is 5000.0.
### Problem Solving
5. Mrs. Yazzie buys [tex]\( p \)[/tex] pairs of identical pants for \[tex]$95.44.
To find the cost of each pair of pants, divide the total cost by the number of pairs.
If she buys 4 pairs:
\[
\frac{95.44}{4} = 23.86
\]
So, the cost per pair is \$[/tex]23.86.
6. Storage container holds 7.5 cups of oatmeal for [tex]\( d \)[/tex] days.
Expression for cups of oatmeal per day:
If camping for 10 days:
[tex]\[
\frac{7.5}{10} = 0.75
\][/tex]
So, you can eat 0.75 cups of oatmeal per day.
New scenario with 5 cups of raisins:
Combine the oatmeal and raisins:
[tex]\[
\frac{7.5 + 5}{10} = 1.25
\][/tex]
So, you can have 1.25 cups of oatmeal plus raisins each day.
7. Evaluate [tex]\(\frac{a}{4}\)[/tex] when [tex]\( a = 36 \)[/tex]:
Divide 36 by 4:
[tex]\[
\frac{36}{4} = 9.0
\][/tex]
So, the evaluation gives 9.0.
I hope this helps you understand the process! Let me know if you have any further questions.
### Homework
1. Evaluate [tex]\( d \div 20 \)[/tex] for [tex]\( d = 300 \)[/tex]:
To solve this, you simply divide 300 by 20.
[tex]\[
\frac{300}{20} = 15.0
\][/tex]
So, the answer is 15.0.
2. Evaluate [tex]\( d \div c = \frac{\partial}{2} \)[/tex].
This can be interpreted as dividing [tex]\( d \)[/tex] by [tex]\( c \)[/tex] and then dividing the result by 2. Given [tex]\( d = 300 \)[/tex] and [tex]\( c = 0.6 \)[/tex]:
[tex]\[
\frac{300}{0.6} = 500
\][/tex]
Then divide by 2:
[tex]\[
\frac{500}{2} = 250.0
\][/tex]
So, the answer is 250.0.
3. Evaluate [tex]\( 150 \times c \div d \)[/tex] for [tex]\( c = 0.6 \)[/tex] and [tex]\( d = 300 \)[/tex]:
First, multiply 150 by 0.6:
[tex]\[
150 \times 0.6 = 90
\][/tex]
Then divide by 300:
[tex]\[
\frac{90}{300} = 0.3
\][/tex]
So, the answer is 0.3.
4. Evaluate [tex]\(\frac{d}{1.5} \times 25\)[/tex]:
First, divide 300 by 1.5:
[tex]\[
\frac{300}{1.5} = 200
\][/tex]
Then multiply by 25:
[tex]\[
200 \times 25 = 5000.0
\][/tex]
So, the answer is 5000.0.
### Problem Solving
5. Mrs. Yazzie buys [tex]\( p \)[/tex] pairs of identical pants for \[tex]$95.44.
To find the cost of each pair of pants, divide the total cost by the number of pairs.
If she buys 4 pairs:
\[
\frac{95.44}{4} = 23.86
\]
So, the cost per pair is \$[/tex]23.86.
6. Storage container holds 7.5 cups of oatmeal for [tex]\( d \)[/tex] days.
Expression for cups of oatmeal per day:
If camping for 10 days:
[tex]\[
\frac{7.5}{10} = 0.75
\][/tex]
So, you can eat 0.75 cups of oatmeal per day.
New scenario with 5 cups of raisins:
Combine the oatmeal and raisins:
[tex]\[
\frac{7.5 + 5}{10} = 1.25
\][/tex]
So, you can have 1.25 cups of oatmeal plus raisins each day.
7. Evaluate [tex]\(\frac{a}{4}\)[/tex] when [tex]\( a = 36 \)[/tex]:
Divide 36 by 4:
[tex]\[
\frac{36}{4} = 9.0
\][/tex]
So, the evaluation gives 9.0.
I hope this helps you understand the process! Let me know if you have any further questions.
