Respuesta :
ANSWER:
The values of x and p after solving given equations are 0.445 or [tex]\frac{4}{9}[/tex] and 260 respectively..
SOLUTION:
Given, two proportions are [tex]\frac{4}{x}[/tex] =9 and [tex]\frac{7.5}{26} = \frac{75}{p}[/tex]
We need to solve the given two proportions.
Let us solve the first proportion, [tex]\frac{4}{x}[/tex] = 9
[tex]\frac{4}{x} = \frac{9}{1}[/tex]
On cross-multiplication, we get
4 [tex]\times[/tex] 1 = 9x
4 = 9x
x = [tex]\frac{4}{9}[/tex]
x = 0.445
Now, let us solve the second proportion [tex]\frac{7.5}{26} = \frac{75}{p}[/tex]
[tex]\frac{\frac{75}{10}}{26}=\frac{75}{p}[/tex]
[tex]\frac{75}{10 \times 26} = \frac{75}{p}[/tex]
[tex]\frac{1}{260} = \frac{1}{p}[/tex]
On cross-multiplication, we get
p = 260
Hence, the values of x and p after solving given equations are 0.445 and 260 respectively.
