Question

What is the value of the expression start fraction, left parenthesis, 80, plus, 4, squared, right parenthesis, divided by, 2, cubed, end fraction
2
3

(80+4
2
)

Answers

GPT-4o mini
To evaluate the expression \( \frac{(80 + 4^2)}{2^3} \), we will follow these steps:

1. **Calculate \( 4^2 \)**:
\[
4^2 = 16
\]

2. **Add \( 80 \) and \( 16 \)**:
\[
80 + 16 = 96
\]

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

4. **Now divide \( 96 \) by \( 8 \)**:
\[
\frac{96}{8} = 12
\]

So, the value of the expression is \( 12 \).
What is the value of the expression start fraction, left parenthesis, 8, squared, minus, 56, right parenthesis, divided by, 2, cubed, end fraction
2
3

(8
2
−56)
GPT-4o mini
To evaluate the expression \( \frac{(8^2 - 56)}{2^3} \), we can follow these steps:

1. **Calculate \( 8^2 \)**:
\[
8^2 = 64
\]

2. **Subtract \( 56 \) from \( 64 \)**:
\[
64 - 56 = 8
\]

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

4. **Now divide \( 8 \) by \( 8 \)**:
\[
\frac{8}{8} = 1
\]

So, the value of the expression is \( 1 \).
What is the value of the expression start fraction, left parenthesis, 75, plus, 5, squared, right parenthesis, divided by, 5, squared, end fraction
5
2

(75+5
2
)
GPT-4o mini
To evaluate the expression \(\frac{(75 + 5^2)}{5^2}\), we can follow these steps:

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

2. **Add \(75\) and \(25\)**:
\[
75 + 25 = 100
\]

3. **Now divide \(100\) by \(25\)**:
\[
\frac{100}{25} = 4
\]

So, the value of the expression is \(4\).
What is the value of the expression below when w, equals, 4w=4?
9, w, minus, 10
9w−10
GPT-4o mini
To evaluate the expression \(9w - 10\) when \(w = 4\), we can substitute \(4\) for \(w\):

1. Substitute \(w\) in the expression:
\[
9(4) - 10
\]

2. Calculate \(9 \times 4\):
\[
9 \times 4 = 36
\]

3. Now subtract \(10\) from \(36\):
\[
36 - 10 = 26
\]

So, the value of the expression \(9w - 10\) when \(w = 4\) is \(26\).
What is the value of the expression below when y, equals, 5y=5?
8, y, plus, 10
8y+10
GPT-4o mini
To evaluate the expression \(8y + 10\) when \(y = 5\), substitute \(5\) for \(y\):

1. Substitute \(y\) in the expression:
\[
8(5) + 10
\]

2. Calculate \(8 \times 5\):
\[
8 \times 5 = 40
\]

3. Now add \(10\) to \(40\):
\[
40 + 10 = 50
\]

So, the value of the expression \(8y + 10\) when \(y = 5\) is \(50\).
What is the value of the expression below when y, equals, 8y=8?
2, y, minus, 3
2y−3
GPT-4o mini
To evaluate the expression \(2y - 3\) when \(y = 8\), we substitute \(8\) for \(y\):

1. Substitute \(y\) in the expression:
\[
2(8) - 3
\]

2. Calculate \(2 \times 8\):
\[
2 \times 8 = 16
\]

3. Now subtract \(3\) from \(16\):
\[
16 - 3 = 13
\]

So, the value of the expression \(2y - 3\) when \(y = 8\) is \(13\).

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