There are not parallel because 2/11≠3/14
Answer:
<h3>8 and 13</h3>
Step-by-step explanation:
Let the two numbers be x and y
If the two numbers differs by 5, then;
y-x = 5 ...1
x is the smaller
y is the larger
If seven times the smaller plus four times the larger is 108, this is expressed as;
7x + 4y = 108 ... 2
From 1;
y = 5 + x .... 3
Substitute 3 into 2;
From 2;
7x + 4y = 108
7x + 4(5+x) = 108
7x + 20 + 4x = 108
11x + 20 = 108
11x = 108-20
11x = 88
x = 88/11
x = 8
Since y = 5+x
y = 5 + 8
y = 13
hence the numbers are 8 and 13
Answer:
x = 1/9
Step-by-step explanation:
we want to solve the proportion;
we simply cross multiply the values
Mathematically, that will be calculated as follows;
6x * 21 = 2 * 7
6x * 21 = 14
6x = 14/21
2(3x) = 2(7/21)
3x = 7/21
3x = 1/3
x = 1/3/3
x = 1/9
Answer: The constant proportionality is 5/4
Step-by-step explanation: The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.