Answer:
C
Step-by-step explanation:
Answer:
x = 37/3 = 12.333
Step-by-step explanation:
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
15x - 185 = 5 • (3x - 37)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 5 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : 3x-37 = 0
Add 37 to both sides of the equation :
3x = 37
Divide both sides of the equation by 3:
x = 37/3 = 12.333
Answer:
The answer is below
Step-by-step explanation:
I have 14 Baseballs in 23 tennis balls. I bought some boxes of baseballs with 12 baseball to a box and equal amount of boxes of tennis balls with 16 balls to a box. write an expression to represent the total number of balls
Solution:
Let n represent the number of boxes of each type.
Given, the number of boxes of tennis = number of boxes of baseball, hence:
n = number of boxes of tennis = number of boxes of baseball.
Already I have 14 baseball and I bought boxes of baseballs with 12 baseball to a box, therefore:
Number of baseballs = 14 + 12n
I have 23 tennis ball and I bought boxes of tennis balls with 16 baseball to a box, therefore:
Number of tennis balls = 23 + 16n
Total number of balls = number of baseballs + number of tennis balls
Total number of balls = (14 + 12n) + (23 + 16n) = 14 + 23 + 12n + 16n = 37 + 28n
Total number of balls = 37 + 28n
<u>Answer:
</u>
Required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
<u>
Solution:
</u>
Need to find the five terms of the sequence.
Given recursive rule is f(x) = f(x-1) -7
Substituting x = 2 , f(2) = f(2-1)-7
= f(2) = f(1) – 7 ------(1)
Also given that f(2) = 12.
On substituting the given value of f(2) in eq (1) we get
12 = f(1) – 7
f(1) = 12 + 7 = 19
Using given recursive rule and given value of f(2) calculating f(3)
Substituting x = 3 ,
f(3) = f(3-1) – 7
= f(2) – 7
= 12 – 7
= 5
Using given recursive rule and calculated value of f(3) calculating f(4)
Substituting x = 4,
f(4) = f(4-1) – 7
= f(3) – 7
= 5– 7
= -2
Using given recursive rule and calculated value of f(4) calculating f(5)
Substituting x = 5,
f(5) = f(5-1) – 7
= f(4) – 7
= -2– 7
= -9
Hence required five terms of sequence are 19 , 12 , 5 , -2 and -9 .
Answer: 2450.44 ft
Step-by-step explanation:
Formula for SA of a cylinder: A=2*pi*r*h+2*pi*r^2
Formula for radius: diameter/2
Plug height, 17, radius, 13, and pi, 3.14, into the formula above.
= 2450.44 ft
