X is greater than or equal to -5
Answer:
-20%
Step-by-step explanation:
percentage change is calculated by
(new price - old price) / old price
(64 - 80) / 80
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Answer: 20 children
Step-by-step explanation:
<u>Given</u>
Year 4: 11 cannot swim
Year 5: 21 can swim
Year 6: 18 of 30 can swim
Total 96 children
Total 37 cannot swim
<u>First Step: find the number of people from year 5 who cannot swim</u>
- There are 30-18=12 people who cannot swim in year 6
- There are 11 who cannot swim in year 4
- Thus, we use the total number [37]-[year 4+year 6]=37-23=14 people who cannot swim in the year 5
<u>Second Step: find the number of children in year 5</u>
- There are 21 children who can swim
- There are 14 children who cannot swim
- 21+14=35 children
<u>Third Step: find the number of children in year 4 who can swim</u>
- There are 30 children in year 6
- There are 35 children in year 5
- There are 11 children in year 4 who cannot swim
- There are in total 96 children
- 96-30-35-11=20 children in year 4 who can swim
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Answer:
B - y = 2x - 8
Step-by-step explanation:
Step 1: find slope
2x + 4y = 6
4y = -2x + 6
Make y the subject of the formula
y =( -2x + 6)/4
We can separate to get the slope
y = -2x/4 + 6/4
y = -x/2 + 3/2
Slope m = -1/2
Step 2: using a point slope form equation
y - y1 = m ( x - x1)
Note: if two lines are perpendicular to the other, it is always a negative reciprocal of each other
ie m = 2
Substitute m into the equation
y - y1 = 2(x - x1)
Step 3: sub the point
( 6 , 4)
x1 = 6
y1 = 4
y - 4 = 2( x - 6)
Step 4 : using a slope intercept form equation
Open the bracket
y - 4 = 2x - 12
y = 2x - 12 + 4
y = 2x - 8
The equation of a line is
y = 2x - 8