How many solutions will the equation 23(6m+9)−6=4m have?(1 point) Responses one solution one solution infinite/many solutions infinite/many solutions two solutions two solutions no solution
To determine the number of solutions the equation 23(6m+9)−6=4m has, we need to simplify and solve the equation:
23(6m + 9) - 6 = 4m
First, distribute the 23 to both terms inside the parentheses:
138m + 207 - 6 = 4m
Combine like terms:
138m + 201 = 4m
Now, subtract 4m from both sides:
138m + 201 - 4m = 4m - 4m
134m + 201 = 0
Subtract 201 from both sides:
134m = -201
Finally, divide both sides by 134:
m = -201/134 = -3/2
Therefore, the equation has only one solution.
Identify the pair of linear equations that have the same solution set.(1 point)
Responses
2(3g+5)−2g=2(4−g) and −36h6=2
2 left parenthesis 3 g plus 5 right parenthesis minus 2 g equals 2 left parenthesis 4 minus g right parenthesis and Start Fraction negative 36 h over 6 End Fraction equals 2
4k−5=2k and 8j−2=3j
4 k minus 5 equals 2 k and 8 j minus 2 equals 3 j
3(m+1)=10 and 6n+3=6−n
3 left parenthesis m plus 1 right parenthesis equals 10 and 6 n plus 3 equals 6 minus n
4=k2+5 and 4j−143+5=3
The pair of linear equations that have the same solution set is:
4k - 5 = 2k and 8j - 2 = 3j
Tamara, Payton, Krish, and Haruki are analyzing the solution sets to the following linear equations. Tamara says that Equation A and Equation C have the same solution. Payton says Equation B and Equation C have the same solution. Krish says all three have the same solution. Haruki says that none of the equations have the same solution. Identify who is correct about the linear equations.
Equation A: 3(4−5h)−7=−12+2h
Equation B: 2(p−3)−1=6p+142
Equation C: 23v−3+83=−1
(1 point)
Responses
Haruki
Haruki
Tamara
Tamara
Krish
Krish
Payton
Payton
Which of the following is a sentence fragment?
(1 point)
Responses
The first tiny purple crocuses bloomed in February.
The first tiny purple crocuses bloomed in February.
High up in the willow trees in the springtime.
High up in the willow trees in the springtime.
Covered in snow, the branches reflected the sunlight.
Covered in snow, the branches reflected the sunlight.