Answer:
1 × 3 + 4 - 2 = 5
Step-by-step explanation:
1 × 3 = 3
3 + 4 = 7
7 - 2 = 5
The common rule is (x - 1, y + 3) can be used to describe the translation.
Step-by-step explanation:
Step 1:
The point J (-3, -4) becomes 
(-4, -1).
In order to write the rule for translation from J to , we subtract the x coordinate of J from and subtract the y coordinate of J from .
The x coordinate 
The y coordinate 
Step 2:
So from the calculations, we get that the x coordinate is subtracted by 1 i.e. 
and the y coordinate is increased by 3 i.e. 
.
So the common rule is (x - 1, y + 3).
Answer:
Step-by-step explanation:
Distance covered by the train in crossing the pole = 100 m.
- Hence, the speed of the train is 72 km/h
Answer:10 gallons of 30% solution and 30 gallons of 70% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of the 30% solution that should be mixed.
Let y represent the number of gallons of the 70% solution that should be mixed.
The total number of gallons of the mixture to be made is 40. This means that
x + y = 40
The 30% solution of fertilizer is to be mixed with a 70% solution of fertilizer in order to get 40 gallons of a 60% solution. This means that
0.3x + 0.7y = 0.6 × 40
0.3x + 0.7y = 24- - - - - - - - - - - - - -1
Substituting x = 40 - y into equation 1, it becomes
0.3(40 - y) + 0.7y = 24
12 - 0.3y + 0.7y = 24
- 0.3y + 0.7y = 24 - 12
0.4y = 12
y = 12/0.4
y = 30
x = 40 - y = 40 - 30
x = 10
