Answer:
x = 8
Step-by-step explanation:
Using the rule of logarithms
log x = log y ⇔ x = y
Given
log(3x + 2) = log(4x - 6), then
4x - 6 = 3x + 2 ( subtract 3x from both sides )
x - 6 = 2 ( add 6 to both sides )
x = 8
2(2x + 9) + 2(x) = 36
4x + 18 + 2x = 36
Combine like terms.
6x + 18 = 36
Subtract 18 from both sides.
6x = 18
Divide 6 on both sides.
x = 3
Hope this helps!
For every 1 cup of blue paint,
cups of red paint are needed
For every 1 cup of red paint,
cup of blue paint is needed
For every 4 cups of red paint,
cups of blue paint are needed
<em><u>Solution:</u></em>
Given that, there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint
Therefore, ratio is

<h3><u>For every 1 cup of blue paint, ___ cups of red paint are needed</u></h3>
Let "x" be the cups of red paint needed
Then we get,

This forms a proportion

Therefore, 10/4 cups of red are needed for 1 cup of blue
<h3><u>For every 1 cup of red paint, ___ cup of blue paint is needed</u></h3>
Let "x" be the cups of blue paint needed
Then, we get

This forms a proportion

Thus, 4/10 cups of blue are needed for 1 cup of red paint
<h3><u>For every 4 cups of red paint,___ cups of blue paint are needed</u></h3>
Let "x" be the cups of blue paint needed
Then, we get

This forms a proportion

Thus 16/10 cups of blue paint are needed for every 4 cups of red paint
Answer:
1, 2, 2, 2, 3, 8, 9
Step-by-step explanation:
The following data represent the times in minutes required for 18 co-workers to commute to work
48 42 31 29 41 22 38 38 21 39 22 48 22 12 34 32 23 28
Rewrite this data in ascending order
12 21 22 22 22 23 28 29 31 32 34 38 38 39 41 42 48 48
Now, the stem-and-leaf plot is

The second row represents the leaves for the given data points in the range 20 to 29 for this stem-and-leaf plot, so the answer is
1, 2, 2, 2, 3, 8, 9