Answer:
see below
Step-by-step explanation:
a x (b+c) = a x b + a x c
Let A= -35 , B = 10 , C= -5
-35 * ( 10 -5) = -35 *10 + -35 * -5
-35 *(5) = -350 + 175
-175 = -175
The next two terms in the arithmetic progression will be 15 and 21.
Based on the information given, the following can be deduced.
First term = 3
Second term = 9
Common difference = 9 - 3 = 6
The nth term of an arithmetic progression is given as: = a + (n-1)d
Therefore, 3rd term = a + 2d = 3 + 2(6) = 3 + 12 = 15
4th term = a + 3d = 3 + 3(6) = 3 + 18 = 21
The next 2 terms are 15 and 21.
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Answer:
Step-by-step explanation:
This could help
https://www.mathsisfun.com/algebra/inequality-solving.html
The graph of the equation is:
The x intercept of 300 means the skydiver lands on the ground after 300 seconds. The slope of -10 means that the skydiver falls to the ground at a rate of 10 feets per second.
Let a be the number of adults which bought a ticket and c the number of children who bought a ticket. We can use the information given to assemble a system of equations.
Tickets cost 8 dollars for a, 1 dollar for c, and the total amount made is 100
8a + c = 100
The total of a and c is 30
a + c = 30
We can now subtract one equation from the other to use the elimination method to solve the system.
8a + c = 100
-(a + c = 30)
7a + 0 = 70
We can now solve for a.
7a = 70
a = 10
There were 10 adults who bought tickets. We can use this value as a known, plugging it into an equation to solve for the number of children.
a + c = 30
10 + c = 30
c = 20
So, the final answer is "20 children and 10 adults Equation 1: a + c = 30 Equation 2: 8a + c = 100".
