the equation 5/3x + 11/3 = - 4/3 is solved as follows. fill in the correct numbers to complete the solution. 5/3 x = ___ | subtract 11/3 from both sides. x = ___ | multiply both sides by 3/5, the reciprocal of 5/3.

11 answers

To solve the equation 5/3x + 11/3 = -4/3, we need to isolate the variable x.

1. Start by subtracting 11/3 from both sides of the equation:
5/3x + 11/3 - 11/3 = -4/3 - 11/3
5/3x = -15/3

2. Simplify both sides:
5/3x = -5

3. To isolate x, we need to multiply both sides by the reciprocal of 5/3, which is 3/5:
(5/3x)(3/5) = -5(3/5)
(x)(1) = -15/5
x = -15/5

Therefore, the solution to the equation is x = -15/5.
the equation 0.24x -0.74 = - 1.1 is solved as follows. fill in the correct numbers to complete the solution. | 0.24x = __ | add 0.74 to both sides. x = | divide both sides by 0.24
To solve the equation 0.24x - 0.74 = -1.1, we need to isolate the variable x.

1. Start by adding 0.74 to both sides of the equation:
0.24x - 0.74 + 0.74 = -1.1 + 0.74
0.24x = -0.36

2. Simplify both sides:
0.24x = -0.36

3. To isolate x, we need to divide both sides by 0.24:
(0.24x)/(0.24) = (-0.36)/(0.24)
x = -1.5

Therefore, the solution to the equation is x = -1.5.
arlene read 30 pages. that is 10 pages more than half of the pages taylor read. how many pages did taylor read? write an equation in the form px + q = r to represent this problem.
Let's represent the number of pages Taylor read as "x".

According to the problem, Arlene read 10 pages more than half of the pages Taylor read.

Half of the pages Taylor read is (1/2)x, and 10 pages more than that is ((1/2)x + 10).

Therefore, the equation in the requested form is:

(1/2)x + 10 + q = r

Since we are not given any specific values for "q" or "r" in the problem, we cannot further simplify the equation or solve it.
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 for px + q = r to represent this problem
Let's represent Cassandra's younger brother's height as "x".

According to the problem, Cassandra's height is 6 inches less than 3 times her brother's height, which is 3x - 6.

Therefore, the equation in the requested form is:

3x - 6 = 63
the way you built the answer is wrong. it should be __x + __ = __
I apologize for the mistake. Let's correct it.

Let the height of Cassandra's younger brother be represented by "x".

The problem states that Cassandra's height is 6 inches less than 3 times her brother's height, so it can be written as:

3x - 6 = 63

Therefore, the corrected equation in the requested form is:

3x - 6 = 63
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 for px + q = r to represent this problem
3x + __ = 63
Apologies for the confusion earlier. Let's correct the equation.

Let's represent the height of Cassandra's younger brother as "x".

According to the problem, Cassandra's height is 6 inches less than 3 times her brother's height. This can be written as:

3x - 6 = 63

Rewriting it in the requested form of px + q = r, we have:

3x + (-6) = 63

Therefore, the equation in the requested form is:

3x - 6 = 63