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Tcecarenko [31]
2 years ago
8

aron lei is making identical balloon arrangements for a party. He has 32 maroon balloons and 24 white balloons, he wants each ar

rangements to have the same number of each color. what is tha greatest number of arrangements that he can make if every balloon is used?​
Mathematics
1 answer:
alexandr402 [8]2 years ago
5 0

Answer:

The greatest number of arrangements that he can make if every balloon is used is 8.

Step-by-step explanation:

The greatest number of arrangements will be the greatest common factor between 24 and 32.

GCF of 24 and 32:

We keep factoring both numbers by prime factors, while they can both be divided by the same number. So

24 - 32|2

12 - 16|2

6 - 8|2

3 - 4

There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.

This means that the greatest number of arrangements that he can make if every balloon is used is 8.

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The owner of a football team claims that the average attendance at games is over 74,900, and he is therefore justified in moving
Slav-nsk [51]

Answer:

Option c (Upper tailed) is the correct choice.

Step-by-step explanation:

Given that:

The average attendance is:

= 74,900

We will have to test:

⇒ H_0:\mu \leq \mu_0

or,

   H_0: \mu \leq 74,900

Verses,

⇒ H_1: \mu> \mu_0

or,

    H_1: \mu >74,900

The other given alternatives aren't connected to the given scenario. So the above is the correct one.

4 0
2 years ago
Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit.
denis-greek [22]

Answer:

The maximum profit can be attained when 4 bikes are produced each day.

Step-by-step explanation:

Look at the attached picture:

In the table given in the picture,  the number of bikes produces varies. We cannot properly compare the profits per day. To be consistent, let us determine the profit per unit of bike produced.The relationship between cost, revenue and profit can be as:

Profit = Revenue - Cost

To find the profit per unit of bike, simply divide the profit with the number of bikes produced (1st column). After you see the results, we can see that the highest profit is $17.5 per unit of bike produced. Therefore, the maximum profit can be attained when 4 bikes are produced each day.

7 0
2 years ago
Read 2 more answers
Estimates show that there are 1.4x10^8 pet fish and 9.4x10^6 pet reptiles in the United States. How many pet fish and reptile pe
azamat

Answer:

There are total number of pet fish and reptile pets are 1.49\times 10^8.

Step-by-step explanation:

Number of pet fish are 1.4\times 10^8 and the number of pet reptiles are 9.4\times 10^6.

It is required to find the total number of pet fish and reptile pets in the United States. It can be done by simply adding the above numbers such that total numbers are given by :

T=1.4\times10^{8}+9.4\times10^{6}\\\\T=149400000\\\\T=1.49\times 10^8

So, there are total number of pet fish and reptile pets are 1.49\times 10^8.

8 0
2 years ago
A desert has both fruit and yoghurt inside.Altogether the mass of the fruit and yoghurt is 175g. The ratio of the mass of fruit
Dafna11 [192]

Answer:

125g

Step-by-step explanation:

You can find the mass of the yoghurt by dividing the mass of the fruit and the yoghurt by the sum of the ratio,(2+5), then multiplying that value by 5.

8 0
2 years ago
Herbert plans to use the earnings from his lemonade stand according to the table above, for the first month of operations. If he
FinnZ [79.3K]

Table is attached below

From the table we can see that the Lemon cost is equal to 35% of the expenses

Let the expense be x, Lemons cost is 70

Lemon cost = 35% * x

70 = 35% * x ( 35% = \frac{35}{100} = 0.35)

70 = 0.35 * x

x = \frac{70}{0.35}

x= 200, Expense = $200

Given : Profit percentage is 15%= \frac{15}{100} = 0.15

Profit = profit percentage * Expense

Profit = 0.15 * 200 = 30

So profit = $30


5 0
2 years ago
Read 2 more answers
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