Asked by nope
Simplify the expression by combining like terms.
2/8x+3/10y−5/8x+4/10y
(1 point)
Responses
14/18xy
14 over 18 x y
−3/8x+7/10y
4/18xy
4 over 18 x y
7/10x+7/8y
2/8x+3/10y−5/8x+4/10y
(1 point)
Responses
14/18xy
14 over 18 x y
−3/8x+7/10y
4/18xy
4 over 18 x y
7/10x+7/8y
Answers
Answered by
nope
Evaluate the expression when x=9
and y=6
.
x−y3
(1 point)
Responses
9
9
6
6
3
3
1
and y=6
.
x−y3
(1 point)
Responses
9
9
6
6
3
3
1
Answered by
nope
Evaluate the expression when x=9
and y=6
.
x−y
3
(1 point)
Responses
9
9
6
6
3
3
1
and y=6
.
x−y
3
(1 point)
Responses
9
9
6
6
3
3
1
Answered by
nope
You are saving for a skateboard. Your aunt gives you $45 to start, and you save $3 each week. The expression 45+3w
gives the amount of money you save after w
weeks. How much will you have saved after 4 weeks?(1 point)
Responses
$42
$42
$33
$33
$576
$576
$57
gives the amount of money you save after w
weeks. How much will you have saved after 4 weeks?(1 point)
Responses
$42
$42
$33
$33
$576
$576
$57
Answered by
nope
are you sure all of these are correct before i submit them?
Answered by
GPT-4o mini
To simplify the expression \( \frac{2}{8}x + \frac{3}{10}y - \frac{5}{8}x + \frac{4}{10}y \), we will combine like terms.
1. Combine the \( x \) terms:
\[
\frac{2}{8}x - \frac{5}{8}x = \left(\frac{2}{8} - \frac{5}{8}\right)x = -\frac{3}{8}x
\]
2. Combine the \( y \) terms:
\[
\frac{3}{10}y + \frac{4}{10}y = \left(\frac{3}{10} + \frac{4}{10}\right)y = \frac{7}{10}y
\]
Now we can write the combined expression:
\[
-\frac{3}{8}x + \frac{7}{10}y
\]
Thus, the simplified expression is:
\[
-\frac{3}{8}x + \frac{7}{10}y
\]
So, the correct response is:
\[
\text{-}\frac{3}{8}x + \frac{7}{10}y
\]
1. Combine the \( x \) terms:
\[
\frac{2}{8}x - \frac{5}{8}x = \left(\frac{2}{8} - \frac{5}{8}\right)x = -\frac{3}{8}x
\]
2. Combine the \( y \) terms:
\[
\frac{3}{10}y + \frac{4}{10}y = \left(\frac{3}{10} + \frac{4}{10}\right)y = \frac{7}{10}y
\]
Now we can write the combined expression:
\[
-\frac{3}{8}x + \frac{7}{10}y
\]
Thus, the simplified expression is:
\[
-\frac{3}{8}x + \frac{7}{10}y
\]
So, the correct response is:
\[
\text{-}\frac{3}{8}x + \frac{7}{10}y
\]
Answered by
GPT-4o mini
To evaluate the expression \( x - y^3 \) when \( x = 9 \) and \( y = 6 \), substitute the values of \( x \) and \( y \) into the expression:
1. Substitute \( y = 6 \) into \( y^3 \):
\[
y^3 = 6^3 = 6 \times 6 \times 6 = 216
\]
2. Now substitute \( x = 9 \):
\[
x - y^3 = 9 - 216
\]
3. Calculate the result:
\[
9 - 216 = -207
\]
The answer is:
\(-207\)
Since this value isn't provided in the response options, please check if there's been a mistake with the input or clarify the expression to evaluate.
1. Substitute \( y = 6 \) into \( y^3 \):
\[
y^3 = 6^3 = 6 \times 6 \times 6 = 216
\]
2. Now substitute \( x = 9 \):
\[
x - y^3 = 9 - 216
\]
3. Calculate the result:
\[
9 - 216 = -207
\]
The answer is:
\(-207\)
Since this value isn't provided in the response options, please check if there's been a mistake with the input or clarify the expression to evaluate.
Answered by
GPT-4o mini
To evaluate the expression \( x - y^3 \) when \( x = 9 \) and \( y = 6 \), we follow these steps:
1. Compute \( y^3 \):
\[
y^3 = 6^3 = 6 \times 6 \times 6 = 216
\]
2. Substitute \( x = 9 \) into the expression:
\[
x - y^3 = 9 - 216
\]
3. Perform the subtraction:
\[
9 - 216 = -207
\]
It seems like there may have been some confusion with the formatting of the expression. If the expression is indeed \( x - y^3 \) and the inputs for \( x \) and \( y \) are 9 and 6, respectively, the result is \(-207\).
After analyzing your notation "x−y 3," if you meant \( x - y = 9 - 6 \):
1. Calculate:
\[
x - y = 9 - 6 = 3
\]
In either context, there are different outcomes based on the interpretation. Based on the responses provided, if you meant \( x - y \), then the answer is:
**3**
1. Compute \( y^3 \):
\[
y^3 = 6^3 = 6 \times 6 \times 6 = 216
\]
2. Substitute \( x = 9 \) into the expression:
\[
x - y^3 = 9 - 216
\]
3. Perform the subtraction:
\[
9 - 216 = -207
\]
It seems like there may have been some confusion with the formatting of the expression. If the expression is indeed \( x - y^3 \) and the inputs for \( x \) and \( y \) are 9 and 6, respectively, the result is \(-207\).
After analyzing your notation "x−y 3," if you meant \( x - y = 9 - 6 \):
1. Calculate:
\[
x - y = 9 - 6 = 3
\]
In either context, there are different outcomes based on the interpretation. Based on the responses provided, if you meant \( x - y \), then the answer is:
**3**
Answered by
GPT-4o mini
To find out how much money you will have saved after 4 weeks using the expression \( 45 + 3w \), we will substitute \( w = 4 \) into the expression.
1. Substitute \( w \) with 4:
\[
45 + 3(4)
\]
2. Calculate \( 3(4) \):
\[
3(4) = 12
\]
3. Add this to 45:
\[
45 + 12 = 57
\]
So after 4 weeks, you will have saved **$57**.
The correct response is:
**$57**
1. Substitute \( w \) with 4:
\[
45 + 3(4)
\]
2. Calculate \( 3(4) \):
\[
3(4) = 12
\]
3. Add this to 45:
\[
45 + 12 = 57
\]
So after 4 weeks, you will have saved **$57**.
The correct response is:
**$57**
Answered by
GPT-4o mini
Yes, let's summarize and double-check each situation:
1. **Expression Simplification:**
- Original expression: \( \frac{2}{8}x + \frac{3}{10}y - \frac{5}{8}x + \frac{4}{10}y \)
- Combined like terms:
- For \( x \): \( \frac{2}{8}x - \frac{5}{8}x = -\frac{3}{8}x \)
- For \( y \): \( \frac{3}{10}y + \frac{4}{10}y = \frac{7}{10}y \)
- Final simplified expression: \( -\frac{3}{8}x + \frac{7}{10}y \)
- This part is correct.
2. **Expression Evaluation with Given Values (x = 9, y = 6):**
- Expression: \( x - y^3 \)
- Computing \( y^3 = 6^3 = 216 \)
- Substitute: \( 9 - 216 = -207 \)
- Clarification: If it was meant to be \( x - y \) instead, then \( 9 - 6 = 3 \).
- The appropriate evaluation depends on how the expression was described. The interpretation leads to **-207** for \( x - y^3 \) or **3** for \( x - y \).
3. **Money Saved for the Skateboard:**
- Expression: \( 45 + 3w \)
- After substituting \( w = 4 \):
\[
45 + 3(4) = 45 + 12 = 57
\]
- This evaluation is also correct.
Given these checks:
- **For the first simplification:** The answers are correct as provided.
- **For the evaluation (x=9, y=6):** Make sure to confirm if it should be \( x - y^3 \) or \( x - y \) because they yield different results.
- **For the skateboard savings:** The answer is correct as \( \$57 \).
Please ensure you're using the expressions as intended based on the context of your questions. If you have any further clarification on the expressions, please let me know!
1. **Expression Simplification:**
- Original expression: \( \frac{2}{8}x + \frac{3}{10}y - \frac{5}{8}x + \frac{4}{10}y \)
- Combined like terms:
- For \( x \): \( \frac{2}{8}x - \frac{5}{8}x = -\frac{3}{8}x \)
- For \( y \): \( \frac{3}{10}y + \frac{4}{10}y = \frac{7}{10}y \)
- Final simplified expression: \( -\frac{3}{8}x + \frac{7}{10}y \)
- This part is correct.
2. **Expression Evaluation with Given Values (x = 9, y = 6):**
- Expression: \( x - y^3 \)
- Computing \( y^3 = 6^3 = 216 \)
- Substitute: \( 9 - 216 = -207 \)
- Clarification: If it was meant to be \( x - y \) instead, then \( 9 - 6 = 3 \).
- The appropriate evaluation depends on how the expression was described. The interpretation leads to **-207** for \( x - y^3 \) or **3** for \( x - y \).
3. **Money Saved for the Skateboard:**
- Expression: \( 45 + 3w \)
- After substituting \( w = 4 \):
\[
45 + 3(4) = 45 + 12 = 57
\]
- This evaluation is also correct.
Given these checks:
- **For the first simplification:** The answers are correct as provided.
- **For the evaluation (x=9, y=6):** Make sure to confirm if it should be \( x - y^3 \) or \( x - y \) because they yield different results.
- **For the skateboard savings:** The answer is correct as \( \$57 \).
Please ensure you're using the expressions as intended based on the context of your questions. If you have any further clarification on the expressions, please let me know!
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