The sum of three consecutive integers is three times the middle one: if we call the middle one
, the three numbers are

So, their sum is 
Which is three times the middle one.
So, if the sum of three consecutive intergers is 48, the middle one must be 48/3 = 16.
So, the three numbers are 15, 16 and 17
Given:
Machine dispenser
Average = 600 mL soda to every glass
Volumes recorded in one day (random sampling)
600.15
599.92
599.85
599.92
599.81
600.14
600.04
599.98
Average = (sum of the volumes)/(number of readings)
= 4799.81/8
Average = 599.976 mL
Therefore there is sufficient evidence to conclude that the average volume of soda dispenser is different from 600 mL.
You must find the least common multiple of 8, 5, and 10. In this case the least common denominator is 40. 8•5= 40, 5•8= 40, and 10•4= 40. Answer: 40.
Answer:+21
Step-by-step explanation:
21 + 0
Answer:
Part 1;
10y + 4x ≤ 96
Part 2;
y = 8
x = 4
Step-by-step explanation:
1 - Write an equation
Let z equal the total price
10y + 4x = z
2 - Use that to answer the questions
"Write an inequality to represent the different possible combinations that Andy can buy if he has $96."
<em>If Andy has $96 that means the amount the two add up two can equal 96 or be less than 96 however not any more. That means 10y + 4x must be less than or equal to 96. This is written as follows</em>
<em />
10y + 4x ≤ 96
With this in mind we can answer the following question of what is one possible combination. To do this, lets assume
10y + 4x must equal 96
Lets make 96 divisible by 10 using our pounds of roast beef.
To do this we need to get rid of the 6; which we can do so by turning 4x into 16. 4 goes into 16 4 times.
Therefore;
10y + 4x = 96
10y + 4(4) = 96
10y + 16 = 96
- 16 - 16
10y= 80
Divide both sides by 10
y = 8
And our x when y = 8 was 4
so
x = 4