2|7 − 7x| = 2x + 4
|7 - 7x| = x + 2
7 - 7x = x + 2 or 7 - 7x = -(x + 2)
-8x = -5 or 7 - 7x = -x - 2
x = 5/8 or -6x = -9
x = 5/8 or x = 9/6
x = 5/8 or x = 3/2
To check for extraneous solutions, we check both solutions in the original equation.
<em>Check solution 5/8:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 5/8| = 5/8 + 2
|56/8 - 35/8| = 5/8 + 16/8
21/8 = 21/8
<u>Solution x = 5/8 works.</u>
<em>Check solution 3/2:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 3/2| = 3/2 + 2
|14/2 - 21/2| = 3/2 + 4/2
|-7/2| = 7/2
7/2 = 7/2
<u>Solution 3/2 also works.</u>
Answer: x = 5/8 or x = 3/2
Answer:
we could buy 43 party favors
Step-by-step explanation:
initially we have an amount of $380
if we already spend an amount of $272 this we have to subtract it from the total
$380 - $272 = $108
if each party favor comes out $ 2.50 and we have $ 108 we have to divide what we have by what each one comes out to know how many we can buy
$108 / $2.50 = 43.2
this means we could buy 43 party favors
Answer:
$550.97
Step-by-step explanation:
The amortization formula will tell you the payment amount.
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the principal amount of the loan, r is the annual interest rate, t is the number of years. Using your values, this is ...
A = $12,000(0.095/12)/(1 -(1 +0.095/12)^(-12·2)) ≈ $550.97
The amount of Gerald's payment is $550.97.
The table shows that every 1 hour he goes 12 miles so a variable would be 1h/24miles
Answer:
12 shoes
Step-by-step explanation:
Divide 33 by 2 3/4
