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BARSIC [14]
2 years ago
6

Find the missing value.

Mathematics
2 answers:
vodka [1.7K]2 years ago
6 0
To calculate the speed of the 70 teeth countershaft drive gear, evaluate the surface teeth per minute (STM) of each gear. STM = Speed x number of teeth, which is equivalent for both gears. Thus, 45 teeth * 450 r.p.m. = 70 teeth * 'x' r.p.m. is the governing equation. Rearranging the equation to calculate 'x' as the 70 teeth gear's speed, the answer is  289.3 r.p.m.
Lilit [14]2 years ago
3 0

Answer:

225 r.p.m

Step-by-step explanation:


You might be interested in
Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table be
stiks02 [169]

Answer:

Step-by-step explanation:

Occurrence                 Year seen          Difference

1                                      1949                       -  

2                                     1956               1956 - 1949 = 7

3                                     1963               1963 - 1956 = 7

4                                     1970                1970 - 1963 = 7

Difference between each successive term of year seen = 7 years

Therefore, there is a common difference of 7 years between each successive term.

Function defining the year seen will be a linear function and will increase in the same pattern. (multiple of 7 years)

2017 - 1970 = 47 (It's not the multiple of 7)

2018 - 1970 = 48 (It's not the multiple of 7)

2019 - 1970 = 49 (multiple of 7)

2020 - 1970 = 50 (It's not the multiple of 7)

Therefore, comet will be seen next in 2019.

Option (C) will be the answer.

If a person is born in 2005

Then difference between 2005 and 1949 = 56 years

Number of times comet seen after 1949 = \frac{56}{7}=8 times

Total number of comet seen in the lifetime = 8 times

5 0
2 years ago
Anna makes a pot of vegetable bean soup. She is using 1/4 cup measuring cup. How many times will Anna need to fill the measuring
docker41 [41]

Answer:

3 1/2

Step-by-step explanation:

1/4=2/8

7/8 divided by 2/8= 3 1/2

6 0
2 years ago
A theatre has the capacity to seat people across two levels, the Circle and
andriy [413]

Answer: 76.19\%

Step-by-step explanation:

<h3> The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and \frac{2}{3} of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>

Let be "s" the total number of seats in the Stalls.

The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is 2:5.

Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:

\frac{2}{5}=\frac{528}{s}

Solving for "s", we get:

s*\frac{2}{5}=528\\\\s=528*\frac{5}{2}\\\\s=1,320

So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:

Total=1,320\ seats+528\ seats=1,848\ seats

 We know that \frac{2}{3} of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:

(1,320)(\frac{2}{3})=880

Therefore, the total number of seats that were occupied las Friday is:

Total\ occupied=880\ seats+528\ seats=1,408\ seats

Knowing this, we can set up the following proportion, where "p" is the the percentage of occupancy of the theatre last Friday:

\frac{100}{1,848}=\frac{p}{1,408}

Solving for "p", we get:

(1,408)(\frac{100}{1,848})=p\\\\p=76.19\%

8 0
1 year ago
This year, a hardware store has a profit of -$6.0 million. This profit is 3/4 of last year's profit. What is last year's profit?
katen-ka-za [31]
4.5Million dollars Bam Boom
4 0
2 years ago
Which graph shows the solution to the system of linear inequalities? y &lt; 2x – 5 y &gt; –3x + 1
Ksenya-84 [330]

Answer:

Where are the graphs

Step-by-step explanation:


5 0
1 year ago
Read 2 more answers
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