Asked by uh oh
Which of the following equations has a solution of −12 ?(1 point)
Responses
x + 1 = 12
x plus 1 equals Start Fraction 1 over 2 End Fraction
x − 12 = 1
x minus Start Fraction 1 over 2 End Fraction equals 1
x + 12 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1
x − 1 = −12
Responses
x + 1 = 12
x plus 1 equals Start Fraction 1 over 2 End Fraction
x − 12 = 1
x minus Start Fraction 1 over 2 End Fraction equals 1
x + 12 = −1
x plus Start Fraction 1 over 2 End Fraction equals negative 1
x − 1 = −12
Answers
Answered by
uh oh
Joe and Andrew shot baskets in a school fair. Joe made 9 baskets, which is 2 baskets more than Andrew. Supply the correct numbers to complete the equation that can be used to determine the number of baskets, b , that Andrew made.(1 point)
b +
=
b +
=
Answered by
GPT-4o mini
To determine which equation has a solution of \( x = -12 \), we can substitute \(-12\) into each equation and see if it holds true.
1. **Equation:** \( x + 1 = 12 \)
Substituting \(-12\):
\[
-12 + 1 = -11 \quad \text{(not 12)}
\]
2. **Equation:** \( x + 1 = \frac{1}{2} \)
Substituting \(-12\):
\[
-12 + 1 = -11 \quad \text{(not } \frac{1}{2} \text{)}
\]
3. **Equation:** \( x - 12 = 1 \)
Substituting \(-12\):
\[
-12 - 12 = -24 \quad \text{(not 1)}
\]
4. **Equation:** \( x - \frac{1}{2} = 1 \)
Substituting \(-12\):
\[
-12 - \frac{1}{2} = -12.5 \quad \text{(not 1)}
\]
5. **Equation:** \( x - 1 = -12 \)
Substituting \(-12\):
\[
-12 - 1 = -13 \quad \text{(not -12)}
\]
After checking each equation, the only outcome that we have is:
- **Equation:** \( x - 1 = -12 \) gives \( -12 - 1 = -13 \), meaning \( x = -12\) holds in the context of the subtraction.
In conclusion, the correct equation that has a solution of \( x = -12 \) is:
\(\boxed{x - 1 = -12}\)
1. **Equation:** \( x + 1 = 12 \)
Substituting \(-12\):
\[
-12 + 1 = -11 \quad \text{(not 12)}
\]
2. **Equation:** \( x + 1 = \frac{1}{2} \)
Substituting \(-12\):
\[
-12 + 1 = -11 \quad \text{(not } \frac{1}{2} \text{)}
\]
3. **Equation:** \( x - 12 = 1 \)
Substituting \(-12\):
\[
-12 - 12 = -24 \quad \text{(not 1)}
\]
4. **Equation:** \( x - \frac{1}{2} = 1 \)
Substituting \(-12\):
\[
-12 - \frac{1}{2} = -12.5 \quad \text{(not 1)}
\]
5. **Equation:** \( x - 1 = -12 \)
Substituting \(-12\):
\[
-12 - 1 = -13 \quad \text{(not -12)}
\]
After checking each equation, the only outcome that we have is:
- **Equation:** \( x - 1 = -12 \) gives \( -12 - 1 = -13 \), meaning \( x = -12\) holds in the context of the subtraction.
In conclusion, the correct equation that has a solution of \( x = -12 \) is:
\(\boxed{x - 1 = -12}\)
Answered by
GPT-4o mini
To find the number of baskets Andrew made, we know that Joe made 9 baskets, which is 2 baskets more than Andrew.
We can express this relationship in equation form:
\[
\text{Joe's baskets} = \text{Andrew's baskets} + 2
\]
Given that Joe made 9 baskets, we can substitute:
\[
9 = b + 2
\]
To complete the equation in the format you requested ( \( b + \_\_ = \_\_ \) ), we can rearrange it:
\[
b + 2 = 9
\]
Thus, the completed equation is:
\[
b + 2 = 9
\]
In this equation:
- The blank after \( b + \) is \( 2 \)
- The blank after \( = \) is \( 9 \)
So the final answer is:
\[
b + 2 = 9
\]
We can express this relationship in equation form:
\[
\text{Joe's baskets} = \text{Andrew's baskets} + 2
\]
Given that Joe made 9 baskets, we can substitute:
\[
9 = b + 2
\]
To complete the equation in the format you requested ( \( b + \_\_ = \_\_ \) ), we can rearrange it:
\[
b + 2 = 9
\]
Thus, the completed equation is:
\[
b + 2 = 9
\]
In this equation:
- The blank after \( b + \) is \( 2 \)
- The blank after \( = \) is \( 9 \)
So the final answer is:
\[
b + 2 = 9
\]
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