Answer:
Step-by-step explanation:
(96 minutes)/(32 sculptures) = (96/32 minutes)/sculpture = (3 minutes)/sculpture
It takes 3 minutes to make one sculpture.
(160 balloons)/(32 sculptures) = (160/32 balloons)/sculpture = (5 balloons)/sculpture
It takes 5 balloons to make one sculpture.
(160 balloons)/(96 minutes) ≈ 1.7 balloons used per minute.
Answer:
a=1
b=81
c=9
Step-by-step explanation:
The employees that drive to work is 380
The total number of employees that drive to work is 660
<h3>How many employees drive to work?</h3>
A fraction is a non integer that is made up of a numerator and a denominator. A fraction is used to express the ratio or the relationship between two or more quantities. An example of a fraction is 1/2.
The number of employees that drive to work can be determined by multiplying the fraction of the employees that drive to work by the total number of employees.
Employees that drive to work = 2/3 X 570 = 380
In order to determine the employees that drive to work, take the following steps:
Determine the total number of employees : 3 x 330 = 990
The total number of employees that drive to work: 2/3 x 990 = = 660
To learn more about multiplication of fractions, please check: brainly.com/question/1114498
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The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is: 
<h3>How to write the series in sigma notation?</h3>
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
- First term, a = 7
- Common difference, d = 9
- Number of terms, n = 7
Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:

Read more about arithmetic series at:
brainly.com/question/6561461
Answer:
shorter piece: 2 feet
longer piece: 8 feet
Step-by-step explanation:
let the shorter piece be x
then the longer piece will be 3x + 2
<u>if they join together</u>:
- 3x + 2 + x = 10
- 4x + 2 = 10
- 4x = 10 -2
- 4x = 8
- x = 2
<u>Longer piece</u>: