2.8y + 6 + 0.2y = 5y – 14
Start by simplifying the left side:
3y + 6 = 5y - 14
Next, deduct 3y from both sides:
6 = 2y - 14
Add 14 to both sides:
2y = 20
Now, divide by 2:
y = 20 / 2
y = 10
The computed value is x=14%. I just completed the quiz.
Answer:
50 Educators
Step-by-step explanation:
To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.
Answer:
He is dividing the angle BAC into two equal parts.
Step-by-step explanation:
Initially, he places the compass at point A and draws two small arcs intersecting points D and E. Next, setting the compass at D and then at E, he draws two arcs that intersect between the line segments AB and AC.
The bisecting line is drawn from point A through the intersection of these arcs.
Answer:
16 years
Step-by-step explanation:
Let x represent the count of years. The suburb population increases at a rate of 5000 annually, which can be formulated as:
320000 + 5000x
The city population decreases at a rate of 14000 per year, represented as:
624000 - 14000x
The point in time when both the suburb and city populations will match can be derived from:
320000 + 5000x = 624000 - 14000x
14000x + 5000x = 624000 - 320000
19000x = 304000
x = 304000 / 19000
x = 16
In 16 years, the populations of both the suburb and the city will be equivalent