Answer:
m<A=94
Step-by-step explanation:
(2x+10)+(2x+2)=180
4x+12=180
-12 -12
4x=168
/4 /4
x=42
m<A= 2x+10
m<A=2(42)+10
m<A=84+10
m<A=94
Check:
Add m<A and m<B which should equal 180.
m<B=2x+2
m<B=2(42)+2
m<B=84+2
m<B=86
94+86=180
Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
Answer:
<h2>
$0.11 per ounce</h2>
Step-by-step explanation:
$1.32/12oz = x/1oz
Cross Multiply.
1.32 = 12x
Divide both side by 12.
1.32/12 = x
Convert to decimal.
$0.11 for 1 ounce
