#5
5(p+6)=8p
5p+30=8p
8p-5p=30
3p=30
30/3
p= 10 is your answer
#4
3(g+7)=2(10+g)
3g-21=20+2g
3g-2g
g-21=20
20+21
g=41 is your answer
#6
3/7 w -11= -4/7 w
3/7w=-4/7 + 11
3/7 w = 73/7 x 7
3w = 511/7
3w= 73
w= 73/7 is your answer
(I'm going to use brackets as my absolute value bars lol)
[5 x -3]
[-15]
=15
Answer:
37°
Step-by-step explanation:
We have been given the diagram of the triangle;
To find the angle I;
We need to apply one of the geometry laws,
The sum of adjacent internal angles of a triangle gives the external angle;
So;
I + 115 = 152
Solve for I;
I = 152 - 115 = 37°
For me, it’s easiest when i distribute the negative sign if i need to and then reorder to put the like terms together. and then solve.
(also sorry if it’s a little confusing with all the parentheses, i use them because it helps me organize everything)
21. (4x-9y) + (6x+10) + (8y-4)
= 4x + 6x - 9y + 8y + 10 - 4
= 10x - y + 6
—> D
22. (6x+9y-15) + (2x-9y+8)
= 6x + 2x + 9y - 9y - 15 + 8 (the 9y - 9y = 0, so you can leave it out of the final equation)
= 8x - 7
—> D
23. (9x^2-8x+3) - (5x^2-6x+4)
= 9x^2 - 8x + 3 - 5x^2 -(-6x) - 4
= 9x^2 - 5x^2 - 8x + 6x + 3 - 4 (remember that two - signs next to each other make a + sign)
= 4x^2 - 2x - 1
—> A
24. (9x^3-7x+8) - (5x^2+7x-10)
= 9x^3 - 7x + 8 - 5x^2 - 7x -(-10)
= 9x^3 - 5x^2 - 7x - 7x + 8 + 10
= 9x^3 - 5x^2 - 14x + 18
—> D
25. (6x+14y) - ((7x+5y) + (x-8y))
= (6x+14y) - (7x + x + 5y - 8y)
= (6x+14y) - (8x-3y)
= 6x + 14y - 8x -(-3y)
= 6x - 8x + 14y + 3y
= -2x + 17y
—> B
Answer:
Value of tax liability will be zero
Step-by-step explanation:
Given:
Total estate value = $2,186,000
Estate tax = 40 %
Find:
Heir's tax liability = ?
Computation:
Total taxable estate = Total estate value - Estate Exemption
Note: According to Exhibit 19-6 for Estate Exemption, Estate Exemption is 11.4 million.
We know that Estate Exemption is higher than total estate value, therefore will be no tax liability on the successor, so the value of tax liability will be zero.