The expression 3(x-3) is equivalent to pls help lol

Rena spent 6 days reading her book completing the same fraction of the book each day if she had a total of 8/9 of her book after

Artyom0805 [142]

Answer:

The fraction of the book that Rena read every day is $\frac{4}{27}$

Step-by-step explanation:

Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:

$\frac{8}{9}$ ÷6

To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.

Since 6 can be considered to be a fraction equal to $\frac{6}{1}$ , by inverting the number, then you get $\frac{1}{6}$

Then:

$\frac{8}{9}$ ÷6= $\frac{8}{9} *\frac{1}{6}$

Now you multiply the numerators and denominators of the fraction to get the new numerator and denominator of the final solution.

$\frac{8}{9}$ ÷6= $\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}$

Finally, simplifying the fraction:

$\frac{8}{9}$ ÷6= $\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}=\frac{4}{27}$

So:

$\frac{8}{9}$ ÷6= $\frac{4}{27}$

The fraction of the book that Rena read every day is $\frac{4}{27}$

3 0

3 years ago

Which expression converts 4pi radians to degrees?

grin007 [14]

4pi/2pi = x/360
use a proportion
2 radians equals 360 degrees
x = 720 degrees

7 0

3 years ago

Read 2 more answers

What is 7,230,000,000 in scientific notation What is 0.0000865 in scientific notation

Gekata [30.6K]

Answer:

7,230,000,000 = 7.23 x 10 to the 9th power. 0.0000865 = 8.65 x 10 to the negative 5th power.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

two angles are supplementary of the sum is 180. the larger angle measures four degrees more than sevem times the measure of a sm

Aleksandr [31]

Answer:

22 and 158

Step-by-step explanation:

Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.

"the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
"x represents the measure of the smaller angle" is represented as x.

x + 7x+4 =180

8x+4=180

8x=176

x= 22

This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158

5 0

2 years ago

How can a diagram help you know the exact answer

ASHA 777 [7]

What type of diagram?

6 0

3 years ago