NEED HELP STAT WHATS 9+10
2 answers:
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The total of 42 swimmers are competing
Step-by-step explanation:
The given is:
- The ratio of runners to swimmers was 3 : 2
- When 28 runners dropped out of the competition, the ratio became 5 : 6
We need to find how many total swimmers are competing
∵ The ratio of runners to swimmers was 3 : 2
- Multiply each term of the ratio by x
∴ There are 3x runners and 2x swimmers
∵ 28 runners dropped out of the competition
∴ The number of runners who complete = 3x - 28
∵ The ratio became 5 : 6
- Equate the ratio between the new number of runners and the
number of swimmers by 5 : 6
∵ The new number of runners = 3x - 28
∵ The number of swimmers = 2x
∴
- By using cross multiplication
∴ 6(3x - 28) = 5(2x)
- Simplify both sides
∴ 18x - 168 = 10x
- Add 168 to both sides
∴ 18x = 10x + 168
- Subtract 10x from both sides
∴ 8x = 168
- Divide both sides by 8
∴ x = 21
∵ The number of swimmers is 2x
∵ x = 21
∴ The number of swimmers = 2(21) = 42
The total of 42 swimmers are competing
Learn more:
You can learn more about the ratio in brainly.com/question/2707032
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Answer: c. OSRN
Step-by-step explanation:
Sides of similar shapes are proportional.
For Rectangle LOSP,
Length = LO = 4+6+8 = 18 units
Width = OS= 12 units
Here, [proportionality constant]
a. For Rectangle LMQP,
Length = MQ = 12 units
Width = LM = 4 units
Here,
LMQP is not similar to LOSP.
b. Similarly, for LNRP,
Width = LN= 4+6 = 10
length = NR = 12
LNRP is not similar to LOSP.
c. For OSRN,
Length = OS = 12
Width = ON = 8
OSRN is similar to LOSP.
d. For MNRQ,
Length= NR = 12
Width = MN = 6
MNRQ is not similar to LOSP.
Hence, the shape similar to rectangle LOSP is OSRN.