answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Leona [35]
2 years ago
8

A gear 50 inches in diameter turns a smaller gear 30 inches in diameter. If the larger gear makes 15 revolutions, how many revol

utions does the smaller gear make in that time? (A) 9 (B) 12 (C) 20 (D) 25 (E) 30
Mathematics
1 answer:
scoundrel [369]2 years ago
3 0
Well thinking about this just logically, since the larger gear makes 15 revolutions then the smaller gear would have to make more so you could eliminate A and B.

But to solve this problem you need to find the "distance" that the circumference makes.  One revolution is equal to the circumference and since C = d(pi) then the circumference for the larger gear is 50(pi).  If it makes a total of 15 revolutions then 50(pi) * 15 = 750(pi), which is the total distance the circumference is turning. 

The smaller gear needs to travel the same distance but you don't know how many revolutions it does so you need to use the same formula but solve for revolutions.

30(pi) * x = 750(pi) 

divided both sides by 30(pi) we get x = 25 revolutions. D
You might be interested in
Malik's solution to the equation , when , is shown below. What error did Malik make first when solving the equation ? Malik did
Marianna [84]

Answer:

Malik substituted 60 for y instead of x.

Step-by-step explanation:

According to the given situation the computation of error that Malik make first when solving the equation is shown below:-

First, we will find the value of x

\frac{2}{5} x - 4(60) = 10

\frac{2}{5} x = 10 + 240

\frac{2}{5} x = 250

x = 625

Now, we have

\frac{2}{5} x - 4 y = 10

we will solve the above equation, to find the value of y

24 - 4y = 10

4y = 24 - 10

4y = 14

y = \frac{14}{4}

y = \frac{7}{2}

So, from the above calculation, the correct option is

Malik substituted 60 for y instead of x.

3 0
2 years ago
Read 2 more answers
Help me ASAP!
butalik [34]

Answer:

the answer is b

Step-by-step explanation:

There is no negative sign therefore d and a are not an option and yep ito b

5 0
2 years ago
Consider circle O, in which arc XY measures 16π cm. The length of a radius of the circle is 32 cm.
natali 33 [55]

Answer:

Circumference: 64π

Ratio:      1 : 4

Measure of ∠xoy:  π/2    

Step-by-step explanation:

We are given an arc length of 16π.  Since it's in terms of pi, we use the formula

S = rФ    where r is the radius, and Ф is the measure of the angle in radians (in terms of pi)

We are given S = 16π and r = 32, plug those in and find Ф

16π = 32Ф

  16π/32 = Ф

       π/2 = Ф

This is the measure of the central angle.  

The angle is π/2 radians.  There are 2π radians in the circumference, so the circumference is 4 times the arc length created by the central angle.  (There are 4 halves in 2)  so the ratio of the arc length tothe circumference is 1 : 4

The formula for circumference is C = 2πr, where r is the radius, so we hace

C = 2π(32) = 64π

8 0
2 years ago
Read 2 more answers
There are 8 soccer matches per day at Greenville's annual soccer tournament, which lasts 17 days. Estimate the number of soccer
Gnesinka [82]

Answer:

140

Step-by-step explanation:

8 per day

17 days

8*17 = 136 soccer matches in the tournament

136 rounded to the nearest 10 =  140

7 0
2 years ago
Lucy needs to hire a host. Host A is offering his services for an initial $60 in addition to $13.25 per hour. Hostess B is offer
Oksanka [162]

Host A: 60+13.25h

Host B: 75+11.5h

60+13.25h =75+11.25h

subtract 11.25h from each side

60+2h = 75

subtract 60 from each side

2h = 15

divide by 2

h = 7.5

at 7.5 hours the two hosts will charge the same

4 0
2 years ago
Read 2 more answers
Other questions:
  • Josefina is inscribing a square in a circle with center c. She first uses a straight edge to draw a diameter of the circle throu
    6·2 answers
  • N a circle with a radius of 2.8 cm, an arc is intercepted by a central angle of π5 radians. what is the arc length? use 3.14 for
    10·2 answers
  • If m< LMP is 11 degrees more than m< NMP and m< NML =137, find each measure
    6·1 answer
  • Which describes the correlation shown in the scatterplot?
    15·2 answers
  • Marc and Michelle are married and earned salaries this year of $64,000 and $12,000, respectively. In addition to their salaries,
    6·1 answer
  • Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest ra
    13·1 answer
  • Triangle A B C is shown. Angle A B C is a right angle. An altitude is drawn from point B to point D on side A C to form a right
    12·2 answers
  • Aisha is playing a game in which she can gain or lose points on each turn. The table below
    10·1 answer
  • Steven has 20 tickets to use at the carnival. Jared has 4 tickets to use at the carnival. How many times as much is the amount o
    12·1 answer
  • . A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives v
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!