Answer:
The slope of the line that is parallel to the given line is 
Step-by-step explanation:
Parallel lines have the same slopes and different y-intercepts
The slope of the line who has an equation ax + by = c is m = 
Let us use these rules to solve the question
∵ The equation of a given line is 7x + 4y = -16
→ Compare it with the form of the equation above
∴ a = 7 and b = 4
∵ The slope of the line =
∴ The slope of the line =
∵ Parallel lines have the same slope
∴ The slope of the line that is parallel to the given line is
Answer:
Rate in still water = 45 km/h
Rate of the current = 10 km/h.
Step-by-step explanation:
Let the rate of the current be x and rate in still water be y.
So the rate of the boat upstream is y - x and the rate downstream = x + y.
Rate upstream = distance / time
y - x = 105/3 = 35 ...... (1)
Rate downstream:
y + x = 165/3 = 55 .......(2)
Adding (1) + (2):
2y = 90
y = 45 km/h.
Using equation (1):
45 - x = 35
x = 45-35 = 10 km/h.
Answer:
Elliot will make 4 hats and 16 scarves
Step-by-step explanation:
Let x be the number of hats and y be the number of scarves Elliot will make.
Elliott wants to make a total of 20 items, then
x + y = 20
Each hat uses 0.2 kilograms of yarn, so x hats use 0.2x kilograms of yarn and each scarf uses 0.1 kilogram of yarn, then y scarves use 0.1y kilograms of yarn. Elliott wants to use twice as much yarn for scarves as for hats, then
0.1y = 2(0.2x)
Thus,
0.1y = 0.4x
y = 4x
Substitute it into the first equation:
x + 4x = 20
5x = 20
x = 4
y = 20 - 4
y = 16
Hence, Elliot will make 4 hats and 16 scarves
Answer:
Step-by-step explanation:
Fbnjtd is the one who has a Montague
