Answer:
B
Step-by-step explanation:
All you have to basically do on this one is go backwards.
The beginning equation is 4x+4=12, so to first revesre the adding we are going to use 12, the product, and subtract 4 from it (since that is what was added).
12-4=8
Now you need to reverse the times 4, so to do that just divide instead because that is the invese of multiplication.
8/4=2
Now you have 2, which is the variable, x. To make sure this is right you can just put it into the equation and see if 4x2+4 is 12
Hope this helped!
Answer:
6.5
Step-by-step explanation:
The sum of all angles in a triangle are 180 degrees.
=> 10x -10 + 8x + 10x + 8 = 180
=> 28x -2 = 180
=> 28x = 182
=> x = 6.5
So, Angle A = 10 x 6.5 -10 = 65 - 10 = 55 degrees
Angle B = 8 x 6.5 = 52 degrees
Angle C = 10 x 6.5 + 8 = 65 + 8 = 73 degrees.
55 + 52 + 73 = 55 + 125 = 180 degrees
Answer:
$341.07
Step-by-step explanation:
Hanna and Dawson both invested at 3.2% = 0.032
Hannah has balance of 31,000 in account
Dawson has balance of 42000 in account
Interests earned by both are
1)Hannah -P(1+i)^-n
=31000(1+0.032)^-1
=31000(1.032)^-1
=31000(0.968992)
=$30038.752
=$30038.75
Interest earned by Dawson is $31,000 - $30038.75 = $961.25
2)Dawson- P(1+i)^-n
=42000(1+0.032)^-1
=42000(1.032)^-1
=42000(0.968992)
=$40697.664
=$$40697.664
Interest earned by Dawson is $42,000 - $40697.66= $1302.32
3) Hence the amount that Dawson earns than is:
=$1302.32-$961.25
= $341.07
Since both angle are congruent (equal/same), which means that both side is equal to 40 degrees, we will put the equation like this:
5x - 5 = 40
Now we’ll solve for x:
5x - 5 = 40
+ 5 + 5 (Add 5 to both sides)
5x = 45
—- —— (Five both side by 5)
5 5
x = 9
Now we left with x, so x is equal to 9.
In this case, since one equation is in the form of x=, substitution would be best for this problem. Simply plug in 4y + 8 in place of x in the second equation, solve for y, then plug that value into the first equation to find x.
