ANSWER

EXPLANATION
To find the number of balloons that are purple, we have to find six-sevenths of 35.
That is:

That is the number of balloons that are purple.
Answer:
3 3/10
Step-by-step explanation:
Step 1: Convert 2 4/5 to improper
2 4/5 = 14/5
Step 2: Rewrite
14/5 + 1/2
Step 3: Find common denominator
14/5(2/2) + 1/2(5/5)
28/10 + 5/10
Step 4: Add
33/10
Step 5: Simplify
3 3/10
Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Further explanation:
We will put n=1,2,3,4,5 to find which functions give the given sequence
<u>f(n) = 2n − 1</u>
Putting values of n

This function doesn't generate the given sequence
<u>f(n) = 2n + 1</u>
Putting values of n

This function generates the given sequence.
<u>f(n) = 2(n − 1) − 3</u>
Putting values of n

This function doesn't generate the given sequence
<u>f(n) = 2(n − 1) + 3</u>
Putting values of n

Hence, the functions that produce given sequence are:
f(n) = 2n + 1
f(n) = 2(n − 1) + 3
Keywords: Functions, Sequence
Learn more about functions at:
#LearnwithBrainly
Answer:
42.75
Step-by-step explanation:
area of one piece, length x width: 3 x 4 3/4
14.25
area of 3 pieces: 14.25(3)= 42.75
Answer:
8.9 cm to 1 dec. place.
Step-by-step explanation:
First, use Pythagoras to find the length of BD.
BD^2 = 6^2 + 7^2 = 85
BD = √85.
BM = √85 / 2.
Consider the triangle TBM, by Pythagoras:
TB^2 = BM^2 + MT^2
MT^2 = 10^2 - (√85 / 2 )^2
= 100 - 21.25
= 78.75.
MT = 8.874