Answer:
x=9
Step-by-step explanation:
5( x + 7) - 3 ( x - 4) = 7x + 2
Distribute
5x+35 - 3x +12 = 7x +2
2x +47 = 7x+2
Subtract 2x from each side
2x+47-2x =7x -2x+2
47 = 5x+2
Subtract 2 from each side
47-2= 5x+2-2
45= 5x
Divide by 5
45/5 =5x/5
9 =x
Answer:
200 people were at the stadium
Step-by-step explanation:
Let us represent the total number of people at the stadium = x
At a football stadium, 5% of the fans in attendance were teenagers. If there were 10 teenagers at the football stadium
Hence:
5% of total number of people = 10 teenagers
5/100 × x = 10
5x/100 = 10
Cross Multiply
5x = 100 × 10
5x = 1000
Divide both sides by 5
5x/5 = 1000/5
x = 200
The total number of people in the stadium is 200
Answer:
Number of the peoples were satisfied with the career guidance are 300 .
Step-by-step explanation:
Formula
As given
A survey with a two-point scale was conducted in an organization.
It concluded that 85% of the respondents were unsatisfied with the career guidance they were provided.
If 2,000 people participated in the survey.
Total value = 2000
Percentage = 85%
Putting all the values in the formula
Part value = 1700
i.e
People not satisfied by the career guidance = 1700
People satisfied by the career guidance = Total people participated in survey - People not satisfied by the career guidance .
Putting the values in the above
= 2000 - 1700
= 300
Therefore the number of the peoples were satisfied with the career guidance are 300 .
Steps:
1. calculate the values of y at x=0,1,2. using y=5-x^2
2. calculate the areas of trapezoids (Bottom+Top)/2*height
3. add the areas.
1.
x=0, y=5-0^2=5
x=1, y=5-1^2=4
x=2, y=5-2^2=1
2.
Area of trapezoid 1 = (5+4)/2*1=4.5
Area of trapezoid 2 = (4+1)/2*1=2.5
Total area of both trapezoids = (4.5+2.5) = 7
Exact area by integration:
integral of (5-x^2)dx from 0 to 2
=[5x-x^3/3] from 0 to 2
=[5(2-0)-(2^3-0^3)/3]
=10-8/3
=22/3
=7 1/3, slight greater than the estimation by trapezoids.
Answer:
The answer is 6cm
Step-by-step explanation:
