Answer:
4
Step-by-step explanation:
Step 1: Write equation
5x - 2(2x - 1) = 2(3x - 4)
Step 2: Solve for <em>x</em>
- Distribute: 5x - 4x + 2 = 6x - 8
- Combine like terms: x + 2 = 6x - 8
- Subtract x on both sides: 2 = 5x - 8
- Add 8 to both sides: 10 = 5x
- Divide both sides by 5: 2 = x
- Rewrite x = 2
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
5(2) - 2(2(2) - 1) = 2(3(2) - 4)
10 - 2(4 - 1) = 2(6 - 4)
10 - 2(3) = 2(2)
10 - 6 = 4
4 = 4
Here we see that x = 2 is indeed a solution
Step 4: Find 2x
2(2) = 4
The answer is 6 because 4+1=5+1=6
The complement is what adds to an angle to get 90 degrees
so
x is 25 mroe than 4 times y
x+y=90
x=25+4y
sub 25+4y for x
25+4y+y=90
25+5y=90
minus 25 both sides
5y=65
divide both sides by 5
y=13
sub back
x+y=80
x+13=90
x=77 degrees
The first equation would be, x+y=25. The second equation would be 5x+10y=150. When dealing with money you need to attach the value of the money to the variables
The answer is 70 miles.
If we express distances as following:
T - total distance
a - distance from <span>San Antonio to Austin
b - </span>distance from <span>Austin to Waco
c - </span>distance from <span>Waco to Dallas
Then:
T = 280 mi
b = a - 30 mi </span>⇒ a = b + 30<span>
b = c + 20 mi </span>⇒ c = b - 20<span>
T = a + b + c
</span>⇒ a + b + c = 280
⇒ b + 30 + b + b - 20 = 280
⇒ 3b +10 = 280
⇒ 3b = 280 - 10
⇒ 3b = 270
⇒ b = 90 mi.
Distance from <span>Waco to Dallas is c.
</span><span>c = b - 20
</span>⇒ c = 90 - 20
⇒ c = 70 mi
Therefore, distance from <span>Waco to Dallas is 70 miles.</span>
