Factor
36-n^2 is difference of 2 perfect squares
a^2-b^2=(a-b)(a+b)
6^2-n^2=(6-n)(6+n)
factor
n^2+16n+60
find what 2 numbers multiply to 60 and add to 16
factors of 60=2,2,3,5
the numbers are 10 and 6
so factored out
(x+6)(x+10)
(x+6)=(6+x)
so the equation is
[(x+6)(x+10)]/[(6+x)(6-x)]=[(6+x)/(6+x)] times (x+10)/((6-x)=1 times (x+10)/(6-x)
the answer is (x+10)/(6-x)
Answer:
In order to find this answer, you will need to be able to make an inequality.
Step 1: Sophia makes $40 so start with that. 40
Step 2: Sophia also makes $5 per every outfit that she sells, so add that plus your variable (n). 40+5n
Step 3: Determine if Sophia wants to make more, equal to or more, less, or less than or equal to than what she wants to make per day. 40+5n *draw a greater than or equal to sign.
Step 4: Sophia wants to make more than or equal to what she makes per day. You will need to find what she wants to make more than. In this she wants to make more than or equal to $70.
Equation: 40+5n *greater than or equal to sign* $70
Step-by-step explanation:
Answer:
Step-by-step explanation:
3(10 – 4x) + 6 = 12
first you need to use the distributive property
30 – 12x + 6 = 12
then subtract 6 from each side
30 – 12x = 6
then subtract 30 from each side
– 12x = -24
divide both sides by negative 12
x = 2
Answer:
6 cups
Step-by-step explanation:
3/9 = 2/w
Cross multiply.
3w = 18
w = 6 cups of water
Answer:
782
Step-by-step explanation:
You have to multiplied 23 and 34
23 X 34 = 782