Cassandra measured her height as 63 inches. That is 6 inches less than 3 times her younger brother’s height. How tall is her younger brother?
Write an equation in the form px+q=r to represent this problem.
(2 points)
Let's let the height of Cassandra's younger brother be represented by the variable "x".
According to the problem, Cassandra's height is 6 inches less than 3 times her brother's height. In equation form, this can be expressed as:
Cassandra's height = 3 * brother's height - 6
Since Cassandra's height is given as 63 inches, we can substitute this value into the equation:
63 = 3x - 6
Thus, the equation in the form "px + q = r" representing this problem is:
3x - 6 = 63
Susan read 17 pages today. That is 8 pages fewer than 13 of the pages she read yesterday. How many pages did she read yesterday?(1 point)
Let's let the number of pages Susan read yesterday be represented by the variable "y".
According to the problem, Susan read 8 pages fewer than 13 of the pages she read yesterday. In equation form, this can be expressed as:
Susan's pages read = 13 * yesterday's pages read - 8
Since Susan's pages read today is given as 17, we can substitute this value into the equation:
17 = 13y - 8
Thus, the equation in the form "px + q = r" representing this problem is:
13y - 8 = 17
Susan read 17 pages today. That is 8 pages fewer than 13 of the pages she read yesterday. How many pages did she read yesterday
Let's represent the number of pages Susan read yesterday as "x".
According to the problem, Susan read 8 pages fewer than 13 of the pages she read yesterday. In equation form, this can be expressed as:
Susan's pages read today = 13 * yesterday's pages read - 8
Since Susan's pages read today is given as 17, we can substitute this value into the equation:
17 = 13x - 8
To solve for x, we can start by adding 8 to both sides of the equation:
17 + 8 = 13x
25 = 13x
Dividing both sides of the equation by 13, we find:
x = 25/13
Therefore, Susan read approximately 25/13 or 1.92 pages yesterday.
Let x represent the height of Cassandra's younger brother.
According to the problem, Cassandra's height is 6 inches less than 3 times her younger brother's height.
So, 3x - 6 represents Cassandra's height.
Given that Cassandra's height is 63 inches, we can set up the equation:
3x - 6 = 63
Therefore, the equation in the form px + q = r that represents this problem is:
3x - 6 = 63.
To solve this problem, let's start by defining some variables.
Let's assume Cassandra's younger brother's height is 'x' inches.
According to the problem, Cassandra's height is 6 inches less than 3 times her younger brother's height. So, 3 times her younger brother's height would be 3x inches.
And Cassandra's height is measured as 63 inches. Therefore, we can write the equation as:
3x - 6 = 63
In this equation:
- '3x' represents 3 times the height of Cassandra's younger brother.
- '-6' represents the 6 inches less than 3 times her younger brother's height.
- '63' represents Cassandra's height.
Thus, the equation in the form px + q = r is:
3x - 6 = 63