Answer: 11
Step-by-step explanation: The sum of 15 and six times t will be 15 + 6t = 81.
Now, you subtract 15 from both sides to isolate the constants from the variables on the left side and on the other side and you will end up with 6t = 66. Then, you divide 6 from both sides to finally isolate the numbers from the variable and 66 divided by 6 would equal 11
Hope this Helps :)
Answer: 16)
(17)
(18)
(19) 3x - 18
<u>Step-by-step explanation:</u>
Inverse is when you swap the x's and y's and then solve for y
16) Given: y = x²
Swapped: x = y²

17) Given: y = 2x + 4
Swapped: x = 2y + 4
x - 4 = 2y

18) Given: y = (x + 2)²
Swapped: x = (y + 2)²
√x = y + 2

19) Given: 
Swapped: 

3(x - 6) = y
3x - 18 = y
The correct answer is a = 12
Answer:
- given
- additive property of equality
- segment addition postulate
- segment addition postulate
- transitive property
Step-by-step explanation:
In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.
transitive property, If a = b and b = c, then a = c.
Segment Addition Postulate Defined. The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.
I hope this was good enough for you:
Answer:
P(more than 2 don't show up)=0.2031
Step-by-step explanation:
Multiplication rule for independent events:
If two events A and B are independent then the multiplication rule state that:
P(A and B)= P(A) x P(B)
Find the probability that more than two do not show up:
The probability that the reservations at the restaurant do not show up is 0.20 (=20%) and there were 8 reservations.
P(more than 2 don't show up)= 1- P(less than or equal to 2 don't show up)
= 1-( P(none show up) +P(one don't show up)+P(two don't show up)
=1- ((0.8⁸) +₈ C₁ (0.2¹)x(0.8⁷) +₈ C₂ (0.2²)x(0.8⁶)
=1- (0.1678 +0.3355+0.2936)= 1-0.7969
P(more than 2 don't show up)=0.2031