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The length of the shorter rope is 20 cm.
<h3>How to find the original length of the rope using ratio?</h3>
He cut a rope into two pieces with lengths having a ratio of 5 to 2.
The shorter piece is 70 cm long.
The length of the original rope can be calculated as follows:
The ratio of the length of the rope is as follows;
5 : 2
let
x = length of the original rope
Therefore,
length of shorter piece = 2 / 7 × 70
length of shorter piece = 2 / 7 × 70
length of shorter piece = 140 / 7
length of shorter piece = 20 cm
Therefore, the length of the shorter rope is 20 cm.
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X+y=10, x=10-y
4(10-y)+6y=332
solve the next parts yourself
Substitution is to use one variable to express another variable in order to eliminate one variable in the original equation
1.2 pounds is the weight of 40 biscuits and the cost is $2.70.
Answer:
The equation of the required line is y = x + 5
Step-by-step explanation:
The equation of the given line is y = x - 2
The required line = A line parallel to the given line
The point through which the required line passes = (-3, 2)
The general form of the equation of a straight line, is y = m·x + c
Where;
m = The slope of the line
By comparison, the slope of the given line, m = 1
When two lines are parallel, their slope are equal
Therefore, the slope of the required line = m = 1
The equation of the required line in point and slope form is therefore;
y - 2 = x - (-3) = x + 3
∴y = x + 3 + 2 = x + 5
The equation of the required line is therefore;
y = x + 5.
