If you subtract 13 from my number and multiply the difference by -2 , the result is -44." What is 's number

n = 35

Step-by-step explanation:

n - 13 x -2 = -44

distribute:

(n x -2) - (13 x -2) = -44

-2n - (-26) = -44

two negatives in front of a number makes it a positive number

so rewrite -2n + 26 = -44

-2n = -44 -26

-2n = -70

n =

n = 35

calc check (35 - 13) x -2 = 22 x (-2) = -44

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions