Answer:
x = 
Step-by-step explanation:
Given
3x -
= - 
Multiply through by 10, the lcm of 5 and 2 to clear the fractions
30x - 8 = - 5 ( add 8 to both sides )
30x = 3 ( divide both sides by 30 )
x =
= 
Pressure and Volume are inversely related as:

We can also write it as:

R is the constant of proportionality. Using the first row of given table, we can write:
Thus, the value of R, the universal gas constant is 8.31
Total number of people is 55
<u>Step-by-step explanation:</u>
Step 1:
Given ratio between boys and girls is 4:1. Let number of girls be x, so number of boys = 33 + x
⇒ 4x + x = x + 33 + x
⇒ 5x = 33 + 2x
⇒ 3x = 33
⇒ x = 11
Step 2:
Find total number of people.
33 + 2x = 33 + 22 = 55
<span>the line over the 28 means the 28 repeats forever.
1.282828.... and so on
let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828... (the decimal 28 part repeats)
100x = 128.28...
next:
100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99</span>
Answer:
AC ≈ 10.3
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan48° =
=
=
( multiply both sides by 9.3 )
9.3 × tan48° = AC , then
AC ≈ 10.3 ( to 3 sf )