Answer:
Step-by-step explanation:
arithmetic sequence formula: 
where 
is the first term and 
is the common difference
Given:
⇒ 
⇒ 
Given:
⇒ 
⇒ 
Rearrange the first equation to make the subject:
a = 32 - 9d
Now substitute into the second equation and solve for
(32 - 9d) + 11d = 106
⇒ 32 + 2d = 106
⇒ 2d = 106 - 32 = 74
⇒ d = 74 ÷ 2 = 37
Substitute found value of into the first equation and solve for :
a + (9 x 37) = 32
a + 333 = 32
a = 32 - 333 = -301
Therefore, the equation is:
Answer:
x^-13
Step-by-step explanation:
Answer: 343 in³
Explanation: In this problem, we're asked to find the volume of a cube.
It's important to understand that a cube is a type of rectangular prism and the formula for the volume of a rectangular prism is shown below.
<em>Volume = length × width × height</em>
In a cube however, the length, width, and height are all the same. So we can use the formula side × side × side instead.
So the formula for the volume of a cube is side × side × side or s³.
So to find the volume of the given cube, since each side has a length of 7 inches, we can plug this information into the formula to get (7 in.)³ or (7 in.)(7 in.)(7 in).
7 x 7 is 49 and 49 x 7 is 343.
So we have 343 in³.
So the volume of the given cube is 343 in³.
The equation 13x+30=134 can be used to find the number of months Kenneth can receive internet service.
Step-by-step explanation:
Given,
Start up fee to receive internet = $30
Per month charges = $13
Total amount = $134
Let,
x be the number of months.
y be the total cost.
y = 13x+30
Putting y=134
The equation 13x+30=134 can be used to find the number of months Kenneth can receive internet service.
Keywords: equation, addition
Learn more about addition at:
#LearnwithBrainly
Answer:
x=4
Step-by-step explanation:
<h2>Mark as brainliest if it helps . </h2>
