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Dominik [7]
3 years ago
14

A bicycle with 18-in.-diameter wheels has its gears set so that the chain has a 7-in. radius on the front sprocket and 3-in. rad

ius on the rear sprocket. The cyclist pedals at 200 rpm. Find the linear speed of the bicycle in in/min (correct to at least two decimal places)
Mathematics
1 answer:
abruzzese [7]3 years ago
6 0
Convert revolutions into terms of pi...
(180 rev./1 min.) * (2pi rad/1 rev.) = (180 * 2pi)/1 min. = 360pi/1 min.
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Lamar bought a table on sale for $399. This price was 24% less than the original price. What was the original price?
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4 0
3 years ago
The altitude a ( in feet) of a plane t minutes after lift off is given by a=3400t+600
Julli [10]

Answer:

  6 minutes

Step-by-step explanation:

'a' in the formula represents altitude in feet. You are told the altitude is 21000 feet, so put that into the formula:

   21000 = 3400t +600

You can solve this for t:

  20400 = 3400t . . . . . subtract 600 from both sides

  6 = t . . . . . . . . . . . . . . . divide both sides by 3400

The problem statement tells you that t represents minutes after lift off, so this solution means the altitude is 21000 feet 6 minutes after lift off.

The question is asking for the number of minutes after lift off that the plane reaches an altitude of 21000 feet, so this answers the question directly:

  The plane is at an altitude of 21000 feet 6 minutes after lift off.

4 0
3 years ago
85% of what number is 34?
mote1985 [20]
34/85%=34/0.85=40
So that's your answer.
3 0
3 years ago
Read 2 more answers
30,135x0.15 hgggggggggggggggggggggggggggggggggggggggggggggggggggggggggnnnn tyyyyyyyy
elena-s [515]

Answer:

what

Step-by-step explanation:

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7 0
3 years ago
A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10−24 grams.
MatroZZZ [7]

Answer:

The correct option is the last one (0,84 grams, because (5.04 × 1.67) × (10^23 x 10^-24) = 8.4168 x 10^-1))

Step-by-step explanation:

The first step is to think that you have to multiply the number of atoms for the weight of each atom.

When you work with scientific notation, you should solve the operation for numbers and for the ten base. In this case you solve 5.04 x 1.67 and then the product of the ten bases. For this product you have to sum the exponents of the ten base 23 + (-24) = -1.

Summarizing.... 5.04 x 10^23 x 1.67 x 10^-24 = (5.04 x 1.67) x (10^23x10^-24)  ⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 8.4168 x 10^-1

⇒ 5.04 x 10^23 x 1.67 x 10^-24 = 0,84168.

4 0
3 years ago
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