2x-1/4(12x+4)=3 Step 1: 2x+3x+1=3 Step 2: 5x+1=3 Step 3: 5x+1-1=3-1 Step 4: 5x=2 Which step was the error made and why?
1 answer:
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Answer:
An equation that represents the given situation is and the additional number of students that can be seated is 47
Step-by-step explanation:
Number of students already seated in school cafeteria = 203
Let x be the additional number of students that can be seated
So, Total number of seats available in school cafeteria = 203+x
We are given that the school cafeteria seats 250 students
So, 203+x=250
Hence an equation that represents the given situation is and the additional number of students that can be seated is 47
Answer:
Step-by-step explanation:
For this exercise it is important to remember that a Right triangle is a triangle that has an angle that measures 90 degrees.
According to the Altitude Rule, given a Right triangle, if you draw an altitude from the vertex of the angle that measures 90 degrees (The right angle) to the hypotenuse, the measure of that altitude is the geometric mean between the measures of the two segments of the hypotenuse.
In this case, you can identify that the altitude that goes from the vertex of the right angle () to the hypotenuse of the triangle, is:
Then, based on the Altitude Rule, you can set up the following proportion:
According to the Leg Rule, each leg is the mean proportional between the hypotenuse and the portion of the hypotenuse that is located directly below that leg of the triangle.
Knowing this, you can set up the following proportions: