Answer:
155
Step-by-step explanation:
Using the recursive formula and a₁ = 1, then
a₂ = 3a₁ + 2 = 3(1) + 2 = 3 + 2 = 5
a₃ = 3a₂ + 2 = 3(5) + 2 = 15 + 2 = 17
a₄ = 3a₃ + 2 = 3(17) + 2 = 51 + 2 = 53
a₅ = 3a₄ + 2 = 3(51) + 2 = 153 + 2 = 155
Thus the 5 th term is 155
D=daniel
brother=b
d is 3 older than 2 times b
d=3+2b
d=17
subsitute
17=3+2b
subtract 3 from both sides
17-3=3-3+2b
14=0+2b
14=2b
didivde both side by 2
7=b
daniels age in terms of his brother age is
d=3+2b
Answer:
(2,4) is a solution to this system of equations
Step-by-step explanation:
Given system of equation are
To find the solution of the given system of equations
To Check that (2,4) is a solution to this system or not
Solving equations (1) and (2)
From equation (1) and y=2x
Now substitute y=2x is equation (2)
10-5x=0
-5x=-10
Substitute x=2 in equation (1)
y=2x
y=2(2)
Therefore y=4
Therefore the solution is (2,4)
Therefore (2,4) is a solution to the system of equations.
Answer:
It means you multiply the number by that variable.
Step-by-step explanation:
This is used to shorten the equation with a variable. For example, 2c means 2 times c. 6y means 6 times y.
Answer:
6.25 inch by 20/3 inch (6.67 inch).
Explanation:
Use the scale as a conversion factor.
Scale: 1 inch = 12 feet
Conversion factor: by the division property of equaltiy you can divide each side by 12 feet
1 inch / 12 feet = 1
Convert 75 feet:
75 feet × 1 inch / 12 feet = 6.25 inch
Convert 80 feet:
80 feet × 1 inch / 12 feet = 20/3 inch ≈ 6.67 inch
Thus, the dimesions to make a scales drawing of 75 feet by 80 feet are 6.25 inch and 20/3 inch (6.67 inch).