Given:
The values are
.
To find:
The values of
and
.
Solution:
We have,
![a=0.\overline{6}](https://tex.z-dn.net/?f=a%3D0.%5Coverline%7B6%7D)
...(i)
Multiply both sides by 10.
...(ii)
Subtracting (i) from (ii), we get
![10a-a=6.666...-0.666...](https://tex.z-dn.net/?f=10a-a%3D6.666...-0.666...)
![9a=6](https://tex.z-dn.net/?f=9a%3D6)
![a=\dfrac{6}{9}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B6%7D%7B9%7D)
![a=\dfrac{2}{3}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B2%7D%7B3%7D)
And,
![b=0.75](https://tex.z-dn.net/?f=b%3D0.75)
![b=\dfrac{75}{100}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B75%7D%7B100%7D)
![b=\dfrac{3}{4}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B3%7D%7B4%7D)
Now, the product of a and b is:
![ab=\dfrac{2}{3}\times \dfrac{3}{4}](https://tex.z-dn.net/?f=ab%3D%5Cdfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B3%7D%7B4%7D)
![ab=\dfrac{1}{2}](https://tex.z-dn.net/?f=ab%3D%5Cdfrac%7B1%7D%7B2%7D)
The quotient of a and b is:
![\dfrac{a}{b}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bb%7D%3D%5Cdfrac%7B%5Cdfrac%7B2%7D%7B3%7D%7D%7B%5Cdfrac%7B3%7D%7B4%7D%7D)
![\dfrac{a}{b}=\dfrac{2}{3}\times \dfrac{4}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bb%7D%3D%5Cdfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B4%7D%7B3%7D)
![\dfrac{a}{b}=\dfrac{8}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bb%7D%3D%5Cdfrac%7B8%7D%7B9%7D)
Therefore, the required values are
and
.
Look at the picture..............
Answer:
The rate of change of Paolo Portraits is $15 per photo and the rate of change of clear image studio is $12 per photo. Paolo Portraits charges are higher than the clear image studio.
Step-by-step explanation:
The rate of change represent the change in one variable with respect to another variable. It also known as slope.
It is given that Paolo Portraits charges $15 per photo with no sitting fee. It means the rate of change of Paolo Portraits is $15 per photo.
The function for Paolo Portraits charges is defined as
![f(x)=15x](https://tex.z-dn.net/?f=f%28x%29%3D15x)
From the given graph it is noticed that the line is passing through the points (0,0) and (1,12).
The slope of the line is
![m=\frac{y_2-y_1}{x_2-x_1}=\frac{12-0}{1-0}=\frac{12}{1}=12](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B12-0%7D%7B1-0%7D%3D%5Cfrac%7B12%7D%7B1%7D%3D12)
The function for clear image studio is
![g(x)=12x](https://tex.z-dn.net/?f=g%28x%29%3D12x)
It means the rate of change of clear image studio is $12 per photo.
The rate of change of Paolo Portraits is more than rate of change of clear image studio.
Therefore Paolo Portraits charges are higher than the clear image studio.
Answer:
16 ft³
Step-by-step explanation:
4ft x 2ft x 2ft = 4ft x 4ft = 16 ft³
Answer:
A,B,C
Step-by-step explanation:
in these quadrilaterals, the diagonals bisect each other paralellogram, rectangle, rhombus, square
in these quadrilaterals, the diagonals are congruent rectangle, square, isosceles trapezoid
in these quadrilaterals, each of the diagonals bisects a pair of opposite angles rhombus, square