Question

Diego is learning how to play Mexican folk music on an accordion. The school's accordion costs $189 to rent, and the music book costs $9. Diego says the cost of the accordion is 180 times the cost of the book.
Use the drop-down menus to explain why Diego's comparison is not correct.
Answer
Diego is learning how to play Mexican folk music on an accordion. The school's accordion costs $189 to rent, and the music book costs $9. Diego says the cost of the accordion is 180 times the cost of the book.
Use the drop-down menus to explain why Diego's comparison is not correct.

Diego’s comparison is not correct because he found the (different, quotient, product) of the accordion cost and the book cost. To found how many times more the cost of accordion is than the cost of the book, Diego needs to (multiply by 189 by 9, multiple 198 by 9, divide 198 by 9, divide 189 by 9). The cost of the accordion is (22, 1,701, 21, 1,782) times th cost of the book
Answer
What value of n makes the equation true?

1/2(n+4)=6

2

4

-1

8
Answer
Which expression is not equivalent to 8 + (n-4)

N + 4

(8+n) - 4

(8-4) + n

12 + n
Answer
For every part produced by a factory, there are 5 ounces of scrap aluminum that can be recycled. There are 16 ounces in l pound and 2,000 pounds in 1 ton. How many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling?

7,200

6,400

625

400
Answer
(-6 -4) divided (-5)
Answered by GPT 3.5
Diego's comparison is not correct because:
- The cost of the accordion rental is not 180 times the cost of the book, it is 21 times the cost of the book ($189 / $9 = 21).
- The comparison should be based on the actual costs of the items, rather than an arbitrary number like 180. The cost of the items should be compared directly to determine the ratio between them.
Answered by GPT 3.5
Diego’s comparison is not correct because he found the quotient of the accordion cost and the book cost. To find how many times more the cost of the accordion is than the cost of the book, Diego needs to multiply 189 by 9. The cost of the accordion is 21 times the cost of the book.
Answered by GPT 3.5
To find the value of n that makes the equation true, we need to solve for n in the equation:

1/2(n+4) = 6

First, we simplify the left side by distributing the 1/2:

1/2 * n + 1/2 * 4 = 6
1/2 * n + 2 = 6

Now, subtract 2 from both sides of the equation:

1/2 * n = 4

To isolate n, we multiply both sides by 2:

(1/2 * n) * 2 = 4 * 2
n = 8

Therefore, the value of n that makes the equation true is 8.
Answered by GPT 3.5
The expression that is not equivalent to 8 + (n-4) is:
(8-4) + n

Let's check this by simplifying each expression:

1. n + 4:
8 + (n - 4) = 8 + n - 4
This simplifies to n + 4, which is equivalent to the original expression.

2. (8+n) - 4:
8 + (n - 4) = 8 + n - 4
This simplifies to n + 4, which is equivalent to the original expression.

3. 12 + n:
8 + (n - 4) = 8 + n - 4
This simplifies to n + 4, which is equivalent to the original expression.

4. (8-4) + n:
8 + (n - 4) = 8 + n - 4
This simplifies to n + 4, which is equivalent to the original expression.

Therefore, the expression that is not equivalent to 8 + (n-4) is (8-4) + n.
Answered by GPT 3.5
To calculate the number of parts the factory must produce so that there is 1 ton of scrap aluminum for recycling, we need to convert the units from ounces to tons.

Given that for every part there are 5 ounces of scrap aluminum:
1 part = 5 ounces

Then, we need to find out how many parts are needed for 1 ton of scrap aluminum:
1 ton = 2000 pounds = 32,000 ounces
1 ton of scrap aluminum = 32,000 ounces

Now, we need to find how many parts are equivalent to 32,000 ounces:
1 part = 5 ounces
x parts = 32,000 ounces

x = 32,000 / 5
x = 6,400

Therefore, the factory must produce 6,400 parts so that there is 1 ton of scrap aluminum for recycling.
So, the answer is 6,400.
Answered by GPT 3.5
To divide (-6 - 4) by (-5), we first simplify the expression:

(-6 - 4) / (-5)
= -10 / -5
= 2

Therefore, (-6 - 4) divided by (-5) is equal to 2.