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Dima020 [189]
3 years ago
8

Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The di

fference of half the number of oranges and half the number of apples is 4.
An equation created to find the number of apples Javier has in the basket will have
Mathematics
1 answer:
Doss [256]3 years ago
6 0

Number of oranges is (2a + 2)

Half the number of oranges is 1/2(2a + 2)

Half the number of apples is 1/2a

The difference between half the number of oranges and half the number of apples equals 4 looks like this:

1/2(2a + 2) - 1/2a = 4

Now solve.

1/2(2a + 2) - 1/2a = 4 (multiply 1/2 by what's inside the parenthesis)

1a + 1 - 1/2a = 4

1a + 1 -1 - 1/2a = 4 - 1

1a - 1/2a = 3

1/2a = 3

1/2a ÷ 1/2 = 3 ÷ 1/2

a = 6

He has 6 apples.

Substitute 6 into the equation for the number of oranges.

2a + 2

2(6) + 2 = 14

He has 14 oranges.

Check your work.

The difference between half the number of oranges (7) and half the number of apples (3) does indeed equal 4.

Therefore, the equation has one solution.

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how many 5-digit even numbers can be formed with the digits 1,2,3,4,5, and 6 if repetition is allowed?​
Setler79 [48]

Given:

The given digits are 1,2,3,4,5, and 6.

To find:

The number of 5-digit even numbers that can be formed by using the given digits (if repetition is allowed).

Solution:

To form an even number, we need multiples of 2 at ones place.

In the given digits 2,4,6 are even number. So, the possible ways for the ones place is 3.

We have six given digits and repetition is allowed. So, the number of possible ways for each of the remaining four places is 6.

Total number of ways to form a 5 digit even number is:

Total=6\times 6\times 6\times 6\times 3

Total=3888

Therefore, total 3888 five-digit even numbers can be formed by using the given digits if repetition is allowed.

6 0
3 years ago
Cody said that dividing a unit fraction by a whole number is the same as multiplying the unit fractions by a unit fraction with
LekaFEV [45]

Answer:

True

Step-by-step explanation:

Hi, the statement is true, because to divide a fraction we have to turn the second fraction upside down and multiply them. Since a whole number x can be written as x/1, it also applies to the case of dividing a fraction by a whole number.

We can prove it with an example.

Dividing a unit fraction by a whole number  

1/2 ÷ 2 = (1x1) / (2x2) = 1/4

Multiplying the unit fractions by a unit fraction with a whole number as a denominator

1/2 x 1/2= (1x1) / (2x2) = 1/4

4 0
3 years ago
Read 2 more answers
Aurora has been babysitting for 30 minutes, which is 20% of the total time she must babysit. What is the total amount of time in
atroni [7]
150 minutes i believe
3 0
3 years ago
7%of what length is 200 feet?
Aneli [31]

Step-by-step explanation:

Let the length be x

7% of x = 200ft

7/100 × x = 200

7x/100 = 200

7x = 200 × 100

7x = 20000

x = 20000/7

x = 2,857.14

8 0
3 years ago
Read 2 more answers
Simplify 8 3/4 plus 9 2/8
Ipatiy [6.2K]

Answer:

18

Step-by-step explanation:

8 3/4 + 9 2/8

We can simplify 2/8 by dividing the top and bottom by 2

8 3/4 + 9 1/4

Add the whole numbers

8+9 = 17

3/4 + 1/4 = 4/4 = 1

Add this to the whole numbers

17+1 = 18

8 0
4 years ago
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