Question

What is the value of the expression start fraction, left parenthesis, 5, squared, plus, 67, right parenthesis, divided by, 2, squared, end fraction
2
2

(5
2
+67)
​
?
Answer

Answer 1

What is the value of the expression start fraction, left parenthesis, 2, cubed, plus, 32, right parenthesis, divided by, 2, squared, end fraction
2
2

(2
3
+32)
​
?
Answer

Answer 2

What is the value of the expression below when x, equals, 8x=8 and y, equals, 7y=7?
10, x, minus, 4, y
10x−4y

Answer 3

What is the value of the expression below when w, equals, 6w=6 and x, equals, 10x=10?
5, w, plus, 10, x
5w+10x

Answer 4

Click and drag like terms onto each other to simplify fully.
minus, x, squared−x
2
plus, 2, y, squared+2y
2
minus, 4, y, cubed−4y
3
minus, 2, x, cubed−2x
3
minus, 7, y, squared−7y
2
minus, 6, y, cubed−6y
3
minus, 4, x, cubed−4x
3

Answer 5

no it wants you to put it in a spicific order

Answer 6

To evaluate the expression \( \frac{(5^2 + 67)}{2^2} \), we can follow these steps:

1. Calculate \( 5^2 \):
\[
5^2 = 25
\]

2. Add 67 to the result:
\[
25 + 67 = 92
\]

3. Now calculate \( 2^2 \):
\[
2^2 = 4
\]

4. Finally, divide 92 by 4:
\[
\frac{92}{4} = 23
\]

Thus, the value of the expression is \( \boxed{23} \).

Answer 7

To evaluate the expression \( \frac{(2^3 + 32)}{2^2} \), we can follow these steps:

1. Calculate \( 2^3 \):
\[
2^3 = 8
\]

2. Add 32 to the result:
\[
8 + 32 = 40
\]

3. Now calculate \( 2^2 \):
\[
2^2 = 4
\]

4. Finally, divide 40 by 4:
\[
\frac{40}{4} = 10
\]

Thus, the value of the expression is \( \boxed{10} \).

Answer 8

To find the value of the expression \( 10x - 4y \) when \( x = 8 \) and \( y = 7 \), we can substitute the values of \( x \) and \( y \) into the expression.

1. Substitute \( x = 8 \):
\[
10(8) - 4y
\]

2. Substitute \( y = 7 \):
\[
10(8) - 4(7)
\]

3. Now calculate:
\[
10 \times 8 = 80
\]
\[
4 \times 7 = 28
\]

4. Finally, the expression becomes:
\[
80 - 28
\]

5. Calculate the result:
\[
80 - 28 = 52
\]

Thus, the value of the expression \( 10x - 4y \) is \( \boxed{52} \).

Answer 9

To find the value of the expression \( 5w + 10x \) when \( w = 6 \) and \( x = 10 \), we will substitute the values into the expression.

1. Substitute \( w = 6 \):
\[
5(6) + 10x
\]

2. Substitute \( x = 10 \):
\[
5(6) + 10(10)
\]

3. Now calculate:
\[
5 \times 6 = 30
\]
\[
10 \times 10 = 100
\]

4. The expression now becomes:
\[
30 + 100
\]

5. Calculate the result:
\[
30 + 100 = 130
\]

Thus, the value of the expression \( 5w + 10x \) is \( \boxed{130} \).

Answer 10

To simplify the expression by combining like terms, let's group and combine the coefficients of each type of term present:

1. **Identify like terms**:
- **\( x^2 \) terms**: \( -x^2 \)
- **\( x^3 \) terms**: \( -2x^3, -4x^3, -2x^3 \)
- **\( y^2 \) terms**: \( 2y^2, -7y^2 \)
- **\( y^3 \) terms**: \( 2y^3, -4y^3, -6y^3 \)

2. **Combine the coefficients of like terms**:
- **For \( x^2 \)**:
- Only \( -x^2 \) remains.
- **For \( x^3 \)**:
- \( -2x^3 - 4x^3 - 2x^3 = -8x^3 \)
- **For \( y^2 \)**:
- \( 2y^2 - 7y^2 = -5y^2 \)
- **For \( y^3 \)**:
- \( 2y^3 - 4y^3 - 6y^3 = -8y^3 \)

3. **Write the simplified expression**:
\[
-8x^3 - x^2 - 5y^2 - 8y^3
\]

Thus, the fully simplified expression is:
\[
\boxed{-8x^3 - x^2 - 5y^2 - 8y^3}
\]

Answer 11

I apologize for any confusion! To arrange the expression in a specific order, we typically organize the terms by degree, starting with the highest degree down to the lowest, and then by variable. Here’s how to arrange the original terms and then combine them with the specified order in mind:

### Given Terms:
- \(-x^2\)
- \(-2x^3\)
- \(-4x^3\)
- \(-2x^3\)
- \(2y^2\)
- \(-7y^2\)
- \(2y^3\)
- \(-4y^3\)
- \(-6y^3\)

### Combine like terms:
1. **For \(x^3\)**:
- \(-2x^3 - 4x^3 - 2x^3 = -8x^3\)

2. **For \(x^2\)**:
- \(-x^2\)

3. **For \(y^2\)**:
- \(2y^2 - 7y^2 = -5y^2\)

4. **For \(y^3\)**:
- \(2y^3 - 4y^3 - 6y^3 = -8y^3\)

### Assembling into ordered format:
Now we put it all together in the order of decreasing powers of \(x\) first (highest degree first), followed by \(y\):

\[
-8x^3 - x^2 - 8y^3 - 5y^2
\]

### Final Ordered Expression:
\[
\boxed{-8x^3 - x^2 - 8y^3 - 5y^2}
\]

If you have a particular order in mind (e.g., by degree, or grouping specific variables together first), please let me know!