Answer:
y = 11
Step-by-step explanation:
Solve for y
12y - 40 - 4y = 6y - 18
8y -40 = 6y - 18
8y - 6y - 40 = -18
2y - 40 = -18 ( the justification for step 2 is to isolate y on one side of the equation in order to solve for y )
2y - 40 + 40 = 40 - 18
2y = 22
2y/2 = 22/2
y = 11
Check :
12(11) - 40 - 4(11) = 6 (11) - 18
132 - 40 - 44 = 66 - 18
48= 48
Answer:
The bill will be $26070.
Step-by-step explanation:
Your base plan costs you $30 a month
And each text sent or received is only 12 cents or $0.12.
Let the messages sent be = x
So, cost for messages become = 
Let total bill cost be = y
Now, total bill will comprise of monthly plan charges plus message charges.
So, equation forms:

Now, given is that In one month 217,000 messages were sent between two brothers in Philadelphia.
So, their approximate bill will be :

=>
=> y = 26070
Therefore, bill will be $26070.
Answer:
172.27 in
Step-by-step explanation:
Apply the Sine Rule
Sine Rule is given as:

c = x = ?
C = 180 - (52 + 48) = 80° (sum of triangle)
b = 130 in.
B = 48°
Plug in the values

Multiply both sides by sin(80)

172.274641 = x
x = 172.27 in. (to 2 decimal places)
Answer:
3/4 of the eggs are not rotten.
Step-by-step explanation:
a dozen = 12 eggs
3+3+3+3 = 12
3x4 = 12
1/4 = 3/12
2/4 = 6/12
3/4 = 9/12 <--- |
4/4 = 12/12 |
12-3 = 9 ---------|
SO 3/4 eggs are not rotten
Answer:
Step-by-step explanation:
y - 72 = 8(y - 3)
Distribute the 8 into (y - 3).
y - 72 = 8y - 24
Subtract 8y from both sides.
-7y - 72 = -24
Add 72 to both sides.
-7y = 48
Divide both sides by -7.
y = -48/7 or approxametly -6.9.
Proof:
y - 72 = 8(y - 3)
Substitute variable.
-48/7 - 72 = 8(-48/7 - 3)
Subtract.
-552/7 = 8(-69/7)
Multiply 8 by the inside term -69/7.
-552/7 = -552/7.