Answer:
Out of 8000 students, 10% take tuition in various subjects before the exam.
10% of 8000 is:
10/100 * 8000 = 800
Among the 800, 40% take tuition in English only and 20% take tuition in Math only.
80 students take tuition in other subjects, therefore, in percentage:
80/800 * 100 = 10%
Therefore, the percentage of students that take tuition in both Math and English is:
100% - (40% + 20% + 10%) = 100% - 70% = 30%
30% of the 800 students take tuition in both subjects. That is:
30/100 * 800 = 240 students
Therefore, among the 8000 students in the district, only 240 take tuition in both English and Math.
In percentage:
240/8000 * 100 = 3%
3% of students take tuition in both English and Math.
In Ratio:
3 : 100
3 out of 100 students take tuition in English and Math.
Answer:
x = 1.36
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Given
3x - 17 + 2x = 13 ← simplify left side
5x - 17 = 13 ( add 17 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
The expression in A is equal to:
y = 8 + 3x
It can be observed that the equation is in the slope-intercept form which is equal to,
y = mx + b
where m is slope and b is intercept.
The slope and intercept therefore of this equation of the line are equal to 3 and 8, respectively.
For Part B:
The slope of the line can be calculated through the equation,
m = (y₂ - y₁) / (x₂ - x₁)
Substituting,
m = (5 - 2)/ (0 - -1) = 1.5
The intercept, b, is the value of y when x = 0. From the tabulation, y = 5 when x = 0. Thus, the intercept is equal to 5.
Comparing the slopes and intercepts of the equations, we can say that the slope of the second is only half that of the first and the intercept of the second is 3 less than that of the first equation.
