you can use a table to show that two ratios are equivalent the table below shows the ratios 1 to 2 and 3 to 6

Question

which operation shows the relationship between the quantities 1 and 2 and 3 and 6

x 3
x 3
/ 2
/ 3

Answer 1

To show that the ratios 1:2 and 3:6 are equivalent, we can multiply the first ratio by 3 (1 x 3 = 3, 2 x 3 = 6) to get the second ratio.

1:2
3:6

Thus, the correct operation to show the relationship between the quantities 1 and 2 and 3 and 6 is x 3.

Answer 2

an architect designs apartment buildings with the same ratio of small to large apartments building a has 12 small apartments and 6 large apartments build b has 18 small apartments
complete the equation to show the relationship between the number of small and large apartments.

12 ? ? = 6

Answer 3

To show the relationship between the number of small and large apartments in building A (12 small apartments to 6 large apartments), we need to find the ratio of small to large apartments.

The completed equation should show the relationship between the number of small and large apartments in building A as 12:6

So, the completed equation is: 12 / 2 = 6

This equation demonstrates that for every 2 small apartments in building A, there is 1 large apartment.

Answer 4

how many large apartments are in building b complete the table

building a building b
small apartments: 12 18
large apartments: 6 ?

Answer 5

To find out how many large apartments are in Building B given that there are 18 small apartments, we can use the same ratio from Building A.

Building A has a ratio of 12 small apartments to 6 large apartments, which simplifies to 2:1 (12 / 6 = 2).

Now, for Building B, there are 18 small apartments. To find the number of large apartments, we can divide the number of small apartments by the ratio:

18 small apartments / 2 = 9 large apartments

So, Building B has 9 large apartments.

Here is the completed table:

Building A Building B
Small apartments: 12 18
Large apartments: 6 9

Answer 6

nina sets up tables and chairs at a restuarant each table has the same number of chairs in the lounge, she sets up 4 tables and 16 chairs in the dining room nina set up 5 tables.

complete the equation the show the relationship between the number of tables and chairs in the lounge.

4 ? ? = 16

Answer 7

To show the relationship between the number of tables and chairs in the lounge, we can set up the following equation based on the information provided:

4 * ? = 16

Since each table has the same number of chairs, we can divide the total number of chairs by the number of tables to find the number of chairs per table.

16 chairs / 4 tables = 4 chairs per table

Therefore, the completed equation is:

4 * 4 = 16

This equation shows the relationship between the number of tables and chairs in the lounge where each table has 4 chairs.

Answer 8

how many chairs does nina need to set up in the dining room?

lounge dining room
table: 4 5
chairs: 16 ?

Answer 9

To find out how many chairs Nina needs to set up in the dining room, we need to maintain the same ratio of tables to chairs as in the lounge.

In the lounge, there are 4 tables with 16 chairs, which simplifies to 4 chairs per table (16 chairs / 4 tables = 4 chairs per table).

Now, in the dining room, Nina sets up 5 tables. To find the total number of chairs needed in the dining room, we can use the ratio determined in the lounge:

5 tables * 4 chairs per table = 20 chairs

Therefore, Nina needs to set up 20 chairs in the dining room.

Here is the completed table:

Lounge Dining Room
Table: 4 5
Chairs: 16 20