Equation: 4x + 7 = 3(2x - 5)
Step-by-step solution:
• Expand brackets
-> 4x + 7 = 6x - 15
• Move x variable to a side and the numbers to another
-> 4x - 6x = -15 - 7
• Solve
-> -2x = -22
• Multiply both sides by (-1)
-> -(-2x) = -(-22)
-> 2x = 22
• Divide both sides by 2
-> x = 22/2
-> x = 11
• Justification
-> Put x = 11 in original equation
-> 4(11) + 7 = 3( 2(11) - 5)
-> 44 + 7 = 3(22 - 5)
-> 51 = 3(17)
-> 51 = 51
-> 51 - 51 = 0
-> 0 = 0
Since both sides are equal to each other, the answer to the equation is correct.
I don't know Sam's equation so I'm not gonna answer that.
Answer:
147 degrees
Step-by-step explanation:
all the angles of a triangle add up to 180 degrees. so, you must perform the operation 180-(83+64) which equals 33. this is the angle supplementary to angle 1. to find angle 1, you must subtract 180 and 33 since supplementary angles add up to 180 degrees. this is equal to 147 degrees.
Answer:
The best point estimate for the mean monthly car payment for all residents of the local apartment complex is $624.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
In this question:
We apply the inverse Central Limit Theorem.
The mean monthy car payment for 123 residents of the local apartment complex is $624.
So, for all residents of the local apartment complex, the best point estimate for the mean monthly car payment is $624.
There is so solution to this problem
2/3 is the same 4/6
7/2 is the same as 21/6
4/6 + 21/6 = 25/6
So the answer is 25/6, not 25/5.
