<span>Simplifying
7p + 2 = 5p + 8
Reorder the terms:
2 + 7p = 5p + 8
Reorder the terms:
2 + 7p = 8 + 5p
Solving
2 + 7p = 8 + 5p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-5p' to each side of the equation.
2 + 7p + -5p = 8 + 5p + -5p</span>
Well, there are actually millions of colors in the rainbow, (every color that the human eye can see), but I do understand the question you're asking:
-- When Sara is ready to make her first selection, there are seven things with different colors in the pot, and one of them is red.
The probability that she picks the red one is ( 1 / 7 ).
The question says "with replacement". That means that after she selects it and looks at it, she puts it back in the pot. So . . .
-- When she's ready to make her second selection, the same seven things with different colors are still in the pot. One of them is orange.
The probability that she picks the orange one is ( 1 / 7 ).
-- The probability of BOTH selections being successful (the color she wants) is
(1/7) x (1/7) .
That's <em>(1/49)</em>, which is about <em>2.04 percent</em> .

- Given - <u>a </u><u>rectangle </u><u>with </u><u>length</u><u> </u><u>2</u><u>5</u><u> </u><u>feet </u><u>and </u><u>perimeter </u><u>8</u><u>0</u><u> </u><u>feet</u>
- To calculate - <u>width </u><u>of </u><u>the </u><u>rectangle</u>
We know that ,

where <u>b </u><u>=</u><u> </u><u>width </u><u>/</u><u> </u><u>breadth</u> of rectangle
<u>substituting</u><u> </u><u>the </u><u>values </u><u>in </u><u>the </u><u>formula </u><u>stated </u><u>above </u><u>,</u>

hope helpful ~
The arithmetic sequences are as follow:
<h3>What is Arithmetic Sequence?</h3>
An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.
1) t(n) = 5n + 4
t(1) = 9, t(2) = 14, t(3) = 19
So,
9,14,19,...
d= 14-9 = 5
d= 19-14 =5
Hence, it is an AP
2) 1, 2, 4, 8 , 16
Hence, it is not an AP
3) 3, 6, 9 ,...
It is an AP
4)It is given that it is an AP
5) tn = 2*3^n
t1= 6, t2= 18, t3= 54
So, 6, 18, 54,...
Hence, it is not an AP
6) 3 , 1, 1/3,...
It is not an AP
7) t(n+1)= 6*t(n)
t(1) = -1
t(2)=-6
t(3)= -36
Hence, it is not an AP
8) -3, 1, 5, 9
Hence, it is an AP.
9) 1, 4, 9,...
Hence, it not an AP
10) 2,1,0,1,2,...
It is not an AP
11) t(n)= -2n-5
t(1)= -7, t(2)= -9, t(3)= -11
Hence, it is an AP
12) tn= (1/2)^n
t1= 1/2, t2= 1/4, t3= 1/8
It is not an AP
Learn more about AP here:
brainly.com/question/24873057
#SPJ1
(5/6) x = -1/6 (multiply times 6/5)
x = -1/5