For there are 48 apples and 60 bananas and 96 oranges each basket must contain the same number of each type of fruit. Find the greatest number of baskets you can have

Answer:

The greatest number of baskets you can have is 12 baskets.

And each baskets would contain:

4 apples, 5 bananas and 8 oranges

Step-by-step explanation:

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 12.

Therefore, the greatest number of baskets you can have is 12 baskets.

Each baskets would have

For apples

48 apples

48 apples / 12 baskets = 4 apples per basket

For bananas

60 bananas

60 bananas/12 baskets = 5 bananas per basket

For Oranges

96 Oranges/ 12 baskets = 8 oranges per baskets

8 0

3 years ago

Mary is serving pizza at her party. Including her parents, there are 25 people. Each person will get two slices of pizza and a g

lianna [129]

Answer:

7 pizzas and 9 cans of juice

Step-by-step explanation:

The answer is 7 pizzas because if you add the 25 people plus her parents (That would be two more people) is 27. Then you have to multiply 27×2 that would equal 54. So, now you know you need 54 slices but what you is the amount of pizzas needed. The next step would be to divide 54÷8 that would equal 6.75 but you can't buy 6.75 pizzas, and you can't buy 6 pizzas because than you would leave people outside. You will need to buy 7 pizzas. It is better to have left overs than leaving people outside.

For the amount of cans would be 9 because if you add again 25 people plus her parents it would be 27. Then you multiply 27×1 that is obviously 27. The next step would be to divide 27÷3 and it would equal 9. And that is how you get your answer.

4 0

3 years ago

For the following exercises, solve each inequality and write the solution in interval notation.

WARRIOR [948]

Answer:

The solution to the inequality |x-2|>10 in interval notation is given by -8<x<12

Step-by-step explanation:

An absolute value inequality |x-2|>10 is given.

It is required to solve the inequality and write the solution in interval form.

To write the solution, first solve the given absolute value inequality algebraically and then write it in interval notation.

Step 1 of 2

The given absolute value inequality is $|x-2|>10$.

The inequality can be written as

x-2<10 and x-2>-10

First solve the inequality, x-2<10.

Add 2 on both sides,

x-2<10

x-2+2<10+2

x<12

Step 2 of 2

Solve the inequality x-2>-10.

Add 2 on both sides,

x-2>-10

x-2+2>-10+2

x>-8

The solution of the inequality in interval notation is given by -8<x<12.

7 0

2 years ago