The answer is 26. Change 40% to .40 and multiply it by 65.
Answer:
She should receive $30.86
Step-by-step explanation:
$7.05 + $8.12 + $3.97 =19.14
50 - 19.14 = 30.86
1) Solve the first inequality
3y ≤ 2x + 6
=> y ≤ 2x/3 + 2
2) Draw the line y = 2x/3 + 2
3) Shade the region below the line y = 2x/3 + 2
4) Solve the inequality 2x + y > 0
=> y > - 2x
5) draw the line y = -2x
6) Shade the region above the line y = -2x
7) The solution is the region between the two lines shaded including the portion of the line y = 2x/3 + 2
To find the tax rate (in this case, 8%), you must multiply the base cost ($128) by the percentage (or, divide the cost by 100 and multiply that by the percentage).
$128÷100=$1.28
$1.28×8%=$10.24
So, the amount of tax that is charged on the table is exactly $10.24.
Hope this helps!
Answer:
7.21 units
Step-by-step explanation:
The shortest length needed to connect the house to the existing pipeline is the perpendicular distance between the location of the house (2,9) and the line y = 2/3x - 1.
The perpendicular distance (d) between a point (
) and the line Ax + By + C = 0 is given as:

The line is given by y = 2/3 x - 1; 2/3x - y - 1 = 0. The point = (2, 9)
hence A = 2/3, B = -1, C = -1,
. Therefore:
