Which of the following can be represented by the equation 3x = 24 ?(1 point) Responses 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?
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?
Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did
Rita buy?
Has to be one of the answer
11 answers
The equation 3x = 24 can be represented by "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 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 = -12
To solve this equation, we divide both sides by 5:
x = -12/5
Therefore, the temperature decreased by -12/5 degrees every hour.
5x = -12
To solve this equation, we divide both sides by 5:
x = -12/5
Therefore, 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 4x−23=5 4 x minus 23 equals 5 −3x−8=−29 negative 3 x minus 8 equals negative 29 5x+11=−24 5 x plus 11 equals negative 24
To find the equation with a solution of -7, we substitute -7 for x in each equation and see which equation satisfies this condition.
Let's check each equation:
1) -x + 3 = -4
Substituting -7 for x: -(-7) + 3 = -4
7 + 3 = -4
10 ≠ -4 (not satisfied)
2) 4x - 23 = 5
Substituting -7 for x: 4(-7) - 23 = 5
-28 - 23 = 5
-51 ≠ 5 (not satisfied)
3) -3x - 8 = -29
Substituting -7 for x: -3(-7) - 8 = -29
21 - 8 = -29
13 ≠ -29 (not satisfied)
4) 5x + 11 = -24
Substituting -7 for x: 5(-7) + 11 = -24
-35 + 11 = -24
-24 = -24 (satisfied)
Therefore, the equation with a solution of -7 is 5x + 11 = -24.
Let's check each equation:
1) -x + 3 = -4
Substituting -7 for x: -(-7) + 3 = -4
7 + 3 = -4
10 ≠ -4 (not satisfied)
2) 4x - 23 = 5
Substituting -7 for x: 4(-7) - 23 = 5
-28 - 23 = 5
-51 ≠ 5 (not satisfied)
3) -3x - 8 = -29
Substituting -7 for x: -3(-7) - 8 = -29
21 - 8 = -29
13 ≠ -29 (not satisfied)
4) 5x + 11 = -24
Substituting -7 for x: 5(-7) + 11 = -24
-35 + 11 = -24
-24 = -24 (satisfied)
Therefore, the equation with a solution of -7 is 5x + 11 = -24.
Which of the following equations has a solution different from the rest? (1 point) Responses −0.35x−0.52=1.93 negative 0.35 x minus 0.52 equals 1.93 34x+5=−14 Start Fraction 3 over 4 End Fraction x plus 5 equals negative Start Fraction 1 over 4 End Fraction 12x−3=12 Start Fraction 1 over 2 End Fraction x minus 3 equals Start Fraction 1 over 2 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
To find the equation with a solution different from the rest, we can either solve each equation or analyze the coefficients and constants.
Let's analyze the equations:
1) -0.35x - 0.52 = 1.93
This equation involves decimals, so it might have a different solution from the rest.
2) 34x + 5 = -14
This equation involves a large coefficient of 34, but it may still have the same solution as the others.
3) 12x - 3 = 12
This equation involves integers, similar to the others.
4) -17x - 34 = 14
This equation involves a large negative coefficient of -17, but it may still have the same solution as the others.
Based on the coefficients and constants, the equation -0.35x - 0.52 = 1.93 stands out as having a different structure, potentially leading to a different solution.
Let's analyze the equations:
1) -0.35x - 0.52 = 1.93
This equation involves decimals, so it might have a different solution from the rest.
2) 34x + 5 = -14
This equation involves a large coefficient of 34, but it may still have the same solution as the others.
3) 12x - 3 = 12
This equation involves integers, similar to the others.
4) -17x - 34 = 14
This equation involves a large negative coefficient of -17, but it may still have the same solution as the others.
Based on the coefficients and constants, the equation -0.35x - 0.52 = 1.93 stands out as having a different structure, potentially leading to a different solution.
A baby elephant weighs 150 pounds when born. It gains 2 pounds per day during the first year. How many days will it take the elephant to weigh a total of 224 pounds?
Let's set up an equation to solve this problem.
Let d be the number of days it takes for the elephant to weigh a total of 224 pounds.
Since the elephant gains 2 pounds per day, we can represent the elephant's weight after d days as:
150 + 2d
We want this weight to be equal to 224 pounds, so we can write the equation:
150 + 2d = 224
To solve for d, we can subtract 150 from both sides:
2d = 224 - 150
2d = 74
Finally, divide both sides by 2 to isolate d:
d = 74/2
d = 37
Therefore, it will take the elephant 37 days to weigh a total of 224 pounds.
Let d be the number of days it takes for the elephant to weigh a total of 224 pounds.
Since the elephant gains 2 pounds per day, we can represent the elephant's weight after d days as:
150 + 2d
We want this weight to be equal to 224 pounds, so we can write the equation:
150 + 2d = 224
To solve for d, we can subtract 150 from both sides:
2d = 224 - 150
2d = 74
Finally, divide both sides by 2 to isolate d:
d = 74/2
d = 37
Therefore, it will take the elephant 37 days to weigh a total of 224 pounds.
Reann has stickers. She gives her friend half, and then her brother gives her 8 new ones. She ends up with 12 stickers. How many did she start with? Identify the operations needed to solve this problem.(1 point) Responses addition and division addition and division subtraction and division subtraction and division addition and multiplication addition and multiplication subtraction and multiplication
The operations needed to solve this problem are subtraction and addition.
Let's solve the problem step by step:
1) Reann gives half of her stickers to her friend. Let's represent the number of stickers Reann started with as "x". After giving half to her friend, she has x/2 stickers left.
2) Reann's brother gives her 8 new stickers. Adding these 8 stickers to the previous count, she now has x/2 + 8 stickers.
3) Reann ends up with 12 stickers, so we can set up the equation:
x/2 + 8 = 12
4) To solve this equation, we need to isolate x. First, subtract 8 from both sides:
x/2 = 12 - 8
x/2 = 4
5) To solve for x, we multiply both sides by 2:
x = 4 * 2
x = 8
Therefore, Reann started with 8 stickers.
Let's solve the problem step by step:
1) Reann gives half of her stickers to her friend. Let's represent the number of stickers Reann started with as "x". After giving half to her friend, she has x/2 stickers left.
2) Reann's brother gives her 8 new stickers. Adding these 8 stickers to the previous count, she now has x/2 + 8 stickers.
3) Reann ends up with 12 stickers, so we can set up the equation:
x/2 + 8 = 12
4) To solve this equation, we need to isolate x. First, subtract 8 from both sides:
x/2 = 12 - 8
x/2 = 4
5) To solve for x, we multiply both sides by 2:
x = 4 * 2
x = 8
Therefore, Reann started with 8 stickers.