Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*(3*x-7)+18-(10)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2 • (3x - 7) + 18) - 10 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
6x - 6 = 6 • (x - 1)
Equation at the end of step 3 :
6 • (x - 1) = 0
Step 4 :
Equations which are never true :
4.1 Solve : 6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
4.2 Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
One solution was found :
x = 1
Answer:
-4
Step-by-step explanation:
5 times negative -2 is -10 and you just add 6 so the answer is -4
X = cost of car before tax
Total cost = (cost of car before tax) + (tax amount)
Total cost = x + 5% of x
Total cost = x + 0.05x
Total cost = 1.05x
The total cost is given to be $14,512, which means
<span>Total cost = 1.05x = 14512
</span>
1.05x = 14512
1.05x/1.05 = 14512/1.05
x = 13,820.95238
x = 13,820.95
The total cost of the car before tax, to the nearest cent, is $13,820.95
Yes 1 and 3 are supplementary
Answer:
The probability that the maximum number of draws is required is 0.2286
Step-by-step explanation:
The probability that the maximum number of draws happens when you pick <em>different colors in the first four pick</em>.
Assume you picked one sock in the first draw. Its probability is 1, since you can draw any sock.
In the second draw, 7 socks left and you can draw all but the one which is the pair of the first draw. Then the probability is 
In the third draw, 6 socks left and you can draw one of the two pair colors which are not drawn yet. Its probability is 
In the forth draw, 5 socks left and only one pair color, which is not drawn. The probability of drawing one of this pair is 
In the fifth draw, whatever you draw, you would have one matching pair.
The probability combined is 1×
×
×
≈ 0.2286