Answer:
<h2>
23</h2>
Step-by-step explanation:
29 is 6 more than K
Let's create an equation

Move variable to L.H.S and change its sign
Similarly, move constant to R.H.S and change its sign

Calculate

Change the sign on both sides of the equation

Hope this helps..
Best regards!!
Answer:
The perimeter of the shape is (7x²+10x+81) inches.
Step-by-step explanation:
When finding the perimeter of a shape, you have to add up all the side lengths :



Answer:
a) T= 3.125h
b) $75
Step-by-step explanation:
Given: We know Tania raised $50 for staying awake 16 hours. We also know the amount of money raised varies directly with the time.
We can divide $50 into 16 hours.
50/16 = 25/8
25/8 = 3.125
3.125 = 3 1/8 (You can use a fraction or decimal, whichever is preferred)
That's how much money she earns per hour. It may not make sense because you have 1/8 of a dollar, so it's okay if you're a little confused on that.
Now let's answer the first question: Write an equation relating the money Tania raised and the amount of time, in hours, she stayed awake.
We know Tania earns $3.125 per hour, so we can make it this equation
T= 3.125h
T can represent Tania's earnings, and 3.125 is how much she earns h, hourly.
Now onto the second question: How much would she have raised by staying awake for 24 h?
We need to multiply 3.125, or 3 1/8, 24 times. Your answer should be $75.
(I apologize in advance if I misread something or made a mistake)
The sum of the sum notation ∞Σn=1 2(1/5)^n-1 is S= 5/2
<h3>How to determine the sum of the notation?</h3>
The sum notation is given as:
∞Σn=1 2(1/5)^n-1
The above notation is a geometric sequence with the following parameters
- Initial value, a = 2
- Common ratio, r = 1/5
The sum is then calculated as
S = a/(1 - r)
The equation becomes
S = 2/(1 - 1/5)
Evaluate the difference
S = 2/(4/5)
Express the equation as products
S = 2 * 5/4
Solve the expression
S= 5/2
Hence, the sum of the sum notation ∞Σn=1 2(1/5)^n-1 is S= 5/2
Read more about sum notation at
brainly.com/question/542712
#SPJ1