Which of the following can be represented by the equation 3x = 24?(1 point)
Responses
A survey was conducted to determine the favorite subject of seventh grade students. One-third of all surveyed, or 24 students, said math is their favorite subject. How many students were surveyed?
A survey was conducted to determine the favorite subject of seventh grade students. One-third of all surveyed, or 24 students, said math is their favorite subject. How many students were surveyed?
The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?
The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?
Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this?
Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this?
Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?
Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?
The equation 3x = 24 can be represented by the following scenario:
The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?
Question
The temperature dropped by 12° in 5 hours. The temperature dropped the same amount every hour. Complete the equation that represents the amount of change, x , of temperature every hour and solve this equation.(1 point)
5x=
The temperature decreased by
° every hour.
The equation that represents the amount of change, x, of temperature every hour is 5x. To solve this equation, we need to divide both sides by 5:
5x/5 = 12/5
x = 12/5
So, the temperature decreased by 12/5 degrees every hour.
Which of the following equations has a solution of −7 ?(1 point)
Responses
−x+3=−4
negative x plus 3 equals negative 4
5x+11=−24
5 x plus 11 equals negative 24
−3x−8=−29
negative 3 x minus 8 equals negative 29
4x−23=5
To find which equation has a solution of -7, we can substitute -7 for x in each equation and see which equation is true:
1) −x + 3 = −4
Substituting -7 for x: −(-7) + 3 = −4
Simplifying: 7 + 3 = -4
This is not a true equation, so -7 is not a solution.
2) 5x + 11 = −24
Substituting -7 for x: 5(-7) + 11 = −24
Simplifying: -35 + 11 = -24
This is not a true equation, so -7 is not a solution.
3) −3x − 8 = −29
Substituting -7 for x: −3(-7) − 8 = −29
Simplifying: 21 - 8 = -29
This is not a true equation, so -7 is not a solution.
4) 4x − 23 = 5
Substituting -7 for x: 4(-7) − 23 = 5
Simplifying: -28 - 23 = 5
This is not a true equation, so -7 is not a solution.
Therefore, none of the given equations has a solution of -7.
so what answer is close
Apologies for the confusion. Let's re-evaluate the given equations to find the one that is closest to having a solution of -7.
1) −x + 3 = −4
Substituting -7 for x: −(-7) + 3 = −4
Simplifying: 7 + 3 = -4
This is not a true equation, so -7 is not a solution.
2) 5x + 11 = −24
Substituting -7 for x: 5(-7) + 11 = −24
Simplifying: -35 + 11 = -24
This equation is true, so -7 is a solution.
3) −3x − 8 = −29
Substituting -7 for x: −3(-7) − 8 = −29
Simplifying: 21 - 8 = -29
This is not a true equation, so -7 is not a solution.
4) 4x − 23 = 5
Substituting -7 for x: 4(-7) − 23 = 5
Simplifying: -28 - 23 = 5
This is not a true equation, so -7 is not a solution.
Therefore, the equation 5x + 11 = −24 is the closest to having a solution of -7.
Which of the following equations has a solution different from the rest? (1 point)
Responses
34x+5=−14
Start Fraction 3 over 4 End Fraction x plus 5 equals negative Start Fraction 1 over 4 End Fraction
−17x−34=14
negative Start Fraction 1 over 7 End Fraction x minus Start Fraction 3 over 4 End Fraction equals Start Fraction 1 over 4 End Fraction
−0.35x−0.52=1.93
negative 0.35 x minus 0.52 equals 1.93
12x−3=12
Start Fraction 1 over 2 End Fraction x minus 3 equals Start Fraction 1 over 2 End Fraction
To determine which equation has a solution different from the rest, we can solve each equation and compare the solutions.
1) 34x + 5 = -14
Subtracting 5 from both sides: 34x = -19
Dividing by 34: x = -19/34
2) Start Fraction 3 over 4 End Fraction x + 5 = Start Fraction 1 over 4 End Fraction
Subtracting 5 from both sides: Start Fraction 3 over 4 End Fraction x = -Start Fraction 19 over 4 End Fraction
Dividing by 3/4 (or multiplying by 4/3): x = -19/3
3) -17x - 34 = 14
Adding 34 to both sides: -17x = 48
Dividing by -17: x = -48/17
4) Start Fraction 1 over 2 End Fraction x - 3 = Start Fraction 1 over 2 End Fraction
Adding 3 to both sides: Start Fraction 1 over 2 End Fraction x = Start Fraction 5 over 2 End Fraction
Multiplying by 2: x = 5
Comparing the solutions:
-19/34, -19/3, -48/17, 5
All of the given solutions are different from each other, so there is no equation that has a solution different from the rest.