How do you solve question 6
1 answer:
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Answer:
3 and 2
Step-by-step explanation:
The ratio of the 2 numbers = 3 : 2 = 3x : 2x ( x is a multiple )
When 5 is subtracted from both , that is
3x - 5 : 2x - 5 = 2 : 3
Expressing the ratio in fractional form
=
( cross- multiply )
3(3x - 5) = 2(2x - 5) ← distribute both sides
9x - 15 = 4x - 10 ( subtract 4x from both sides )
5x - 15 = - 10 ( add 15 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Thus the 2 numbers are
3x = 3(1) = 3 and 2x = 2(1) = 2
Answer:
d = 45t
Step-by-step explanation:
<u>Define the variables</u>:
- Let d = distance traveled (in miles)
- Let t = time (in hours)
Therefore, if the train traveled at a constant speed (k) then:
where k is some constant to be found.
Given:
- d = 67.5 miles
- t = 1.5 hours
Substitute the given values into the formula and solve for k:
Substitute the found value of k into the equation thus creating an equation that shows a proportional relationship: