Answer:
(5k+14)(3k+8)
Step-by-step explanation:
So, you have 3/4x + 5/8 = 4x. We can do this in two ways. Since fractions are harder to deal with, we can turn the fractions into whole numbers.
First we need to find the LCD (Least Common Denominator) between 4 and 8, which is 8. So multiply the 3/4x by 2/2, which gives you an equivalent fraction of 6/8x.
So now we have 6/8x + 5/8 = 4x. Now multiply both sides by 8, to get rid of the denominators of the fractions. That gives us 6x + 5 = 32x. Now use the subtraction property of equality to subtract 6x from both sides giving us 5 = 26x.
Now you can use the division property of equality to divide 26 on both sides, which gives us x = 5/26.
Hope this helps. :D Feel free to ask any other questions, and if you have any questions about my explanation, don't hesitate to ask.
Answer:
The value of k that makes the relationship shown in the table below proportional is
Step-by-step explanation:
The relation is proportional if
Putting values of x and y to find k.
For x =2 and y =1 k is:
For x =4 and y =2 k is:
For x =6 and y = 3 k is:
For x = 8 and y = 4 k is:
For x =10 and y = 5 k is:
So, The value of k that makes the relationship shown in the table below proportional is
We are asked to determine the area of the given figure. To do that we will divide the figure into a square and a triangle. The area of the square is the product of its dimension, therefore, the area is:
The area of the triangle is given by the following formula:
Where "b" is the base and "h" is its height. Replacing the values:
The total area is the sum of both areas:
replacing the areas: