One side of the rectangle is x=2, the other side is 2x-5
Add up all the four sides: (x+2) +(x+2)+(2x-5)+(2x-5)=54
6x-6=54
x=10
#3: suppose the first integer is x, then the second one is x+2
x(x+2)=255
x^2 +2x -255 =0
factor the quadratic equation: (x+17)(x-15)=0
x=-17, which is impossible, or x=15
so the two positive integers are 15 and 17
The budget is $44000
Total spent so far is $10000 + $8500 = $18500
The amount left to spend = 44000 - 18500 = $25500
$25500 is the maximum 6% commission that Lastima Nelson Inc. can spend and stays within the budget
Let the maximum price of the home be

This value of

will be the 100% before the 6% commission is calculated of it.
6% of

is 25500
1% of

is 25500 ÷ 6 = $4250
100% of

is 4250 × 100 = $425,000
So, the maximum value of the home is $425,000
Answer:
angle R
Step-by-step explanation:
To solve this we will use cosine rule
Cosine rule
cos(A) = 
suppose,
q = 6.25
s = 11.04
r = 13.19
angleQ = 
= 30.58
angleR = 
= 93.82
angleS = 
= 56.63
Answer:
16 packages
Step-by-step explanation:
5 2/5 + 2 1/4 Use the common denominator of 20
5 8/20 + 2 5/20
7 13/20
I know that I will need 14 packages for the 7 pounds. For the fraction part, 10/20 would be half, so I would need to buy a half pound for that, but I need 13/20 which would be more than a half pound, so I will need to buy 2 more pounds for the fraction part.
14 + 2 = 16