Answer: the length of Maria's piece of string is 45 inches.
the length of Katy's piece of string is 39 inches
Step-by-step explanation:
Let x represent the length of Maria's piece of string.
Let y represent the length of Katy's piece of string.
When they put the two pieces of string together end to end, the total length is 84inches. This means that
x + y = 84 - - - - - - - - - - - -1
Maria's string is 6 inches longer than Katy's. This means that
x = y + 6
Substituting x = y + 6 into equation 1, it becomes
y + 6 + y = 84
2y + 6 = 84
2y = 84 - 6 = 78
y = 78/2 = 39
x = y + 6 = 39 + 6
x = 45
Answer:
fh. = 40h + 120, fh. = $200
200 = 40h + 120
200 - 120 = 40h
80 = 40h
80/40 = h
2 = h
h = 2 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation:
2) let the two numbers be x and y
x-y =15
(taking x to be big)
x = 3 (y)+1
i.e. x-3y =1
Subtracting we get
2y =14 or y =7
x =15+7 =22
Larger number is 22 and smaller number is 7
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Alysha is 2 years younger than Bryce/
Let Alysha be x years old then Bryce would be x+2
Sum of their ages
=x+x+2 =28
2x+2 =28
2x=26
x=13
Hence Alysha is 13 years old and Bryce 14 years old.
Answer: y=-5x-16
Step-by-step explanation:
Since we are given the slope and the point, we can plug in the point to solve for y-intercept.
4=-5(-4)+b [multiply]
4=20+b [subtract both sides by 20]
b=-16
Now, we know the equation is y=-5x-16.