each week the librarian displays the most popular fiction and non fiction books at the front of the library last week she displayed 9 fiction and 6 non fiction books this week she only displayed 3 fiction books she wants to keep the ratio of fiction to non fiction books the same
complete the equation to show the relationship between the number of fiction books displayed last week and this week
9 ? ? = 3
9 * (6/9) = 3
how many non fiction books should the librarian display this week
this week last week
fiction: 3 9
non fiction: ? 6
Since the librarian wants to keep the ratio of fiction to non-fiction books the same, we can set up a proportion:
(3 fiction books this week) / (non-fiction books this week) = (9 fiction books last week) / (6 non-fiction books last week)
3 / x = 9 / 6
Cross multiply:
6 * 3 = 9 * x
18 = 9x
Divide to solve for x:
18 / 9 = x
2 = x
Therefore, the librarian should display 2 non-fiction books this week.
it takes kias squad the same amount of time to complete each stunt during the competition, the squad completed 5 stunts in 2 minutes. during practice, they completed 10 stunts.
what is the relationship between the number of stunts completed during the competition and during practice?
5 x 2 = 10
how long does it take the squad to complete 10 stunts
competition practice
stunts: 5 10
time (min): 2 ?
To determine this relationship, we've observed that the squad completed 5 stunts in 2 minutes during the competition and 10 stunts during practice. Since the number of stunts completed during practice is double that of the competition, we can infer that the relationship between the number of stunts completed during the competition and during practice is:
5 x 2 = 10
To calculate how long it takes for the squad to complete 10 stunts, we know that for 5 stunts, it took 2 minutes during the competition. Since the squad completes stunts at a consistent rate, it would take the same amount of time to complete each stunt. Thus, the calculation would be:
For 1 stunt, time = 2 / 5 minutes
For 10 stunts, time = 10 * (2 / 5) minutes
Time for 10 stunts = 4 minutes
Therefore, it would take the squad 4 minutes to complete 10 stunts.
a samosa recipe calls for 8 ounces of peas and 6 ounces of diced potatoes. brianna makes a batch of samosas using 24 ounces of peas.
how many ounces of potatoes does brianna use in this batch
recipe this batch
peas (oz): 8 24
potatoes (oz): 6 ?
To determine how many ounces of potatoes Brianna uses in this batch of samosas, let's first consider the ratio of peas to potatoes in the original recipe.
The recipe calls for 8 ounces of peas and 6 ounces of diced potatoes. Therefore, the ratio of peas to potatoes in the original recipe is 8:6 or 4:3 when simplified.
For this batch where Brianna uses 24 ounces of peas:
- If the ratio of peas to potatoes is 4:3, and the peas are 24 ounces (4 parts), then we need to find the corresponding amount of potatoes (3 parts).
To determine the amount of potatoes needed in this batch:
24 ounces of peas / 4 parts = 6 ounces per part (peas)
6 ounces per part * 3 parts = 18 ounces of potatoes required for this batch.
Brianna uses 18 ounces of diced potatoes in this batch of samosas.
tameka can make 32 beads with 4 sheets of paper right now she only has 3 sheets of paper
beads: ? 32
sheets of paper: 3 4
To determine how many beads Tameka can make with 3 sheets of paper, we need to use the given information about the ratio of sheets of paper to beads Tameka can make.
If Tameka can make 32 beads with 4 sheets of paper, we can determine the number of beads she can make per sheet of paper by calculating: 32 beads / 4 sheets = 8 beads per sheet.
To find out how many beads Tameka can make with 3 sheets of paper, we would multiply the beads per sheet by the number of sheets she has: 8 beads per sheet * 3 sheets = 24 beads.
Therefore, with 3 sheets of paper, Tameka can make 24 beads.
mr Carters class is selling raffle tickets for the school fundraiser. they sold 12 tickets and collected $36
tickets: 1 12
amount collected (dollars): ? 36