Which of the following equations has a solution of −7 ?(1 point)
Responses
−x+3=−4
negative x plus 3 equals negative 4
−3x−8=−29
negative 3 x minus 8 equals negative 29
4x−23=5
4 x minus 23 equals 5
5x+11=−24
5x plus 11 equals negative 24
The equation that has a solution of -7 is -3x-8=-29.
Lindsay practices the guitar 50 minutes on Saturday and 30 minutes on most weekdays. Last week she practiced 140 minutes. How many weekdays did she practice? Write an equation in the form px+q=r to represent this problem.(2 points)
x _+_ =_
Let x be the number of weekdays Lindsay practiced.
The amount of time she practiced on weekdays can be represented as 30x.
The total time she practiced last week is the sum of the time she practiced on Saturday and the time she practiced on weekdays, which is 50 + 30x.
The equation representing this problem is:
30x + 50 = 140
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?(1 point)
days
Let x be the number of days it takes for the elephant to weigh a total of 224 pounds.
During each day, the elephant gains 2 pounds.
Therefore, the equation representing this problem is:
150 + 2x = 224
To solve for x, we can subtract 150 from both sides of the equation:
2x = 224 - 150
2x = 74
Dividing both sides by 2, we find:
x = 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 multiplication
addition and division
subtraction and division
subtraction and multiplication
The operations needed to solve this problem are subtraction and division.
Let's call the number of stickers Reann initially had as x.
According to the problem, she gives half of these stickers to her friend, which means she is left with (x/2) stickers.
Then her brother gives her 8 new stickers, so her total number of stickers becomes (x/2) + 8.
Finally, it is mentioned that she ends up with 12 stickers, so we can set up the equation:
(x/2) + 8 = 12
To solve for x, we need to subtract 8 from both sides of the equation:
(x/2) = 4
Now, we multiply both sides of the equation by 2 to isolate x:
x = 8
Therefore, Reann initially had 8 stickers. The operations used were subtraction and division.
Sam is buying packages with 9 beads each. His mom bought him 63 more beads. Now, he has 153 beads. How many packages did he buy? Use algebra to determine the answer.(1 point)
Let x be the number of packages that Sam bought.
Each package contains 9 beads, so the total number of beads from the packages is 9x.
His mom bought him 63 more beads, so the total number of beads is 9x + 63.
It is mentioned that he now has 153 beads, so we can set up the equation:
9x + 63 = 153
To solve for x, we need to subtract 63 from both sides of the equation:
9x = 153 - 63
9x = 90
Now, we divide both sides of the equation by 9 to isolate x:
x = 10
Therefore, Sam bought 10 packages.