Answer:
y=4/3x - 5
Step-by-step explanation:
Answer:
The table representing the number of students by which mode of transport they travel is given as:
Walk or bike Bus Car Row Total
Below age 15 87 60 18 165
Age 15 and above 65 50 80 195
Column Total 152 110 98 360
We know that a relative frequency of an event is the ratio of frequency to the total number of trials.
i..e we divide each frequencies by 360 to obtain a two-way relative frequency.
Hence,the table is given as:
Walk or bike Bus Car Row Total
Below age 15 0.24 0.17 0.05 0.46
Age 15 and above 0.18 0.14 0.22 0.54
Column Total 0.42 0.31 0.27 1
The answer is would have to be b.
Given,
3/3x + 1/(x + 4) = 10/7x
1/x + 1/(x+4) = 10/7x
Because the first term on LHS has 'x' in the denominator and the second term in the LHS has '(x + 4)' in the denominator. So to get a common denominator, multiply and divide the first term with '(x + 4)' and the second term with 'x' as shown below
{(1/x)(x + 4)/(x + 4)} + {(1/(x + 4))(x/x)} = 10/7x
{(1(x + 4))/(x(x + 4))} + {(1x)/(x(x + 4))} = 10/7x
Now the common denominator for both terms is (x(x + 4)); so combining the numerators, we get,
{1(x + 4) + 1x} / {x(x + 4)} = 10/7x
(x + 4 + 1x) / (x(x + 4)) = 10/7x
(2x + 4) / (x(x + 4)) = 10/7x
In order to have the same denominator for both LHS and RHS, multiply and divide the LHS by '7' and the RHS by '(x + 4)'
{(2x+4) / (x(x + 4))} (7 / 7) = (10 / 7x) {(x + 4) / (x + 4)}
(14x + 28) / (7x(x + 4)) = (10x + 40) / (7x(x + 4))
Now both LHS and RHS have the same denominator. These can be cancelled.
∴14x + 28 = 10x + 40
14x - 10x = 40 - 28
4x = 12
x = 12/4
∴x = 3
