A forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 2 gallons of a mixture that is 29 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 49 parts gasoline and 1 part oil?
Answers
if 30 parts = 2 gallons
therefore 15 parts = 1 gallon
49-29 = 20
20 - 15 (aka 1 part) = 5
5/15 = 1/3
Final answer:
To adjust the gasoline to oil ratio to 49:1 in a 2 gallon mixture, the forester must add approximately 1.333 gallons of gasoline.
Explanation:
Given that there is a mixture of 2 gallons that is constituted of 29 parts of gasoline and 1 part of oil, it translates into a 30 parts mixture (29 parts gasoline + 1 part oil). In a single gallon of mixture, there are 29/30 gallons of gasoline and 1/30 gallon of oil.
When additional gasoline is added, the amount of oil in the mixture remains constant at 1/30 gallon per gallon while the amount of gasoline increases. To hit a ratio of 49 parts gasoline to 1 part oil, there should be 49 times more gasoline than oil. Since we know the amount of oil in a mixture is 1/30, the amount of gasoline added per gallon should be 49/30 gallons.
However, we start with 29/30 gallons of gasoline, therefore extra gasoline that will be needed per gallon is (49/30) - (29/30) = 20/30 = 2/3 gallons. Given that the mixture is 2 gallons, the forester should add 2/3*2 = 4/3 gallons or approximately 1.333 gallons of gasoline.
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How many miles per hour (mph) is that?
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Concorde could travel distance of 1 mile every 3 seconds which is equals to 1200 miles per hour.
What is distance?
" Distance is defined as the path travelled between two points."
Conversion used
1miunte = 60 seconds
1 hour = 60minutes
= 60 × 60 seconds
= 3600 seconds
According to the question,
Distance travelled in 3 seconds = 1mile
Distance travelled 1 second = mile
Distance travelled in 1hour =
= 1200 miles per hour (mph)
Hence, Concorde could travel distance of 1 mile every 3 seconds which is equals to 1200 miles per hour.
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dividing by 3 we get, 1200
so its 1200 mph
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19 = 0.3 x ?
19 ÷ 0.3 = 63, 1/3
y 4 ? 900
Answers
Answer:
The value of missing number is:
60
Step-by-step explanation:
The ratio x:y is given below
x:y=1:4
x:y=15:?
x:y=225:900
The ratio x:y will remain same for every x and y
Hence, 1:4=15:?
Let a=?
a=60
Hence, the value of missing number is:
60
y| 4 | ? | 900 |
therefore
[tex]\dfrac{4}{1}=4;\ \dfrac{900}{225}=4;\ \dfrac{?}{15}=4\to?=60[\tex]
Answer: ? = 60