MATHEMATICS COLLEGE

The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, which read the magnetic information on the tape. The length of time a tape will play depends on the length of the tape and the operating speed of the tape player. The formula is T = L S , where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. How long a tape does a police officer need to record a 3-minute confession at an operating speed of 4 1 2 inches per second?

Answers

Answer 1
Answer:

Using the given formula T = LS

And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:

180 = L x 4-1/2

Solve for L by dividing both sides by 4-1/2:

L = 180 / 4-1/2

L = 40

The length should be 40 inches.

Related Questions

A rectangle with an area of 324 square meters has a length and width in a ratio of 4:1. What are the length and width?
A polynomial multiples by a polynomial is a polynomial
what is f'(3) of this equation?​
Try to sketch by hand the curve of intersection of the parabolic cylinder y = x2 and the top half of the ellipsoid x2 + 7y2 + 7z2 = 49. Then find parametric equations for this curve.
Which is the value of this expression when a=5 and k=-2? ?K325-23a775925.251910 75

A washer and a dryer cost $857 combined. The washer costs $93 less than the dryer. What is the cost of the dryer?

Answers

The cost of the dryer is $475 and the cost of the washer is $382.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a washer and a dryer cost $857 combined.

Let the cost of dryer be x.

The washer costs $93 less than the dryer.

Then, the cost of washer will be x-93

So, x+x-93=857

2x=857+93

2x=950

x=$475

x-93=475-93

= $382

Hence, the cost of the dryer is $475.

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ2

Answer:

Dryer cost $475;  Washer cost $382

Step-by-step explanation:

For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).

We are given the washer and dryer cost $857 together.

x + y = 857

We are also given that the washer cost $93 less than the dryer.

x = y - 93

So to find the cost of the dryer, we simply need to find the value of y.

x + y = 857

x = y - 93

( y - 93 ) + y = 857

2y - 93 = 857

2y = 950

y = 475

So now we have the value of the dry to be $475.  We can check this by simply plugging in the value and see if it makes sense.

x + y = 857

x + 475 = 857

x = 382

And check this value:

x = y - 93

382 ?= 475 - 93

382 == 382

Therefore, we have found the values of both the washer and the dryer.

Cheers.

Susan decides to take a job as a transcriptionist so that she can work part time from home. To get started, she has to buy a computer, headphones, and some special software. The equipment and software together cost her $1000. The company pays her $0.004 per word, and Susan can type 90 words per minute. How many hours must Susan work to break even, that is, to make enough to cover her $1000 start-up cost? If Susan works 4 hours a day, 3days a week, how much will she earn in a month.

Answers

Answer:

46.3 hours of work to break even.

$1036.8 per month (4 weeks)

Step-by-step explanation:

First let's find how much Susan earns per hour.

She earns $0.004 per word, and she does 90 words per minute, so she will earn per minute:

0.004 * 90 = $0.36

Then, per hour, she will earn:

0.36 * 60 = $21.6

Now, to find how many hours she needs to work to earn $1000, we just need to divide this value by the amount she earns per hour:

1000 / 21.6 = 46.3 hours.

She works 4 hours a day and 3 days a week, so she works 4*3 = 12 hours a week.

If a month has 4 weeks, she will work 12*4 = 48 hours a month, so she will earn:

48 * 21.6 = $1036.8

Answer:

46.3 hours of work to break even.

$1036.8 per month (4 weeks)

Step-by-step explanation:

Using the figure below, what is the trigonometric ratio of cos C?

Answers

Answer:

8/9 (choice b)

Step-by-step explanation:

The trigonometric ratios are based on the ratios of different sides.

If you remember SOH CAH TOA =

sine (sin) opposite hypotenuse

cosine (cos) adjacent hypotenuse

tangent (tan) opposite adjacent

__________________________

This is a nuemonic for these ratios.

the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.

So cos C = adjacent side / hypotenuse side.

Since 18 is greater than 16 and 9, 18 is the hypotenuse.

the adjacent side is the side other than the opposite side and the hypotenuse which is 16

therefore cos C = 16 / 18 = 8 / 9.

Rachel is recording the temperature at her school every morning this week. On Monday, the temperature was 5°C. Part A: On Wednesday, Rachel calculated that the temperature was 13 degrees colder than Monday. What temperature did Rachel record on Wednesday? Part B: On Friday, Rachel calculated that the temperature was 4 degrees warmer than Wednesday. What temperature did Rachel record on Friday?​

Answers

Answer:

Part A: -8

Part B: -4

Step-by-step explanation:

5-13=-8

-8+4=-4

PLEASE help its for an exam i would really appreciate it , at the top it says “Drag the tiles to solve the given equation for x and justify step in your solution. you must fill every slot in the table in order for your answer to be scored correctly.”

Answers

Answer:

2A. 2x-7 =3

B. Subtraction property

3A. 2x = 10

B. Addition property

4A. x=5

B. Division property

11/5 divided by 51/4 equals

Answers

When 11/5 is divided by 51/4 then the quotient will be equal to 44/255.

To divide two fractions, multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to calculate (11/5) ÷ (51/4), we can do the following:

(11/5) ÷ (51/4)

= (11/5) × (4/51)

Now, multiply the numerators and denominators:

Numerator: 11 × 4 = 44

Denominator: 5 × 51 = 255

Therefore, (11/5) ÷ (51/4) = 44/255.

Hence, when 11/5 divided by 51/4 equals to 44/255.

To learn more on Division click:

brainly.com/question/21416852

#SPJ6

Answer:

44/255

Step-by-step explanation:

Since you you are dividing fraction you have to multiply by the reciprocal.

11/5 x 4/51

11 x 4 = 44

51 x 5 = 255

= 44/255
Other Questions
In tilapia, an important freshwater food fish from Africa, the males actively court females. They have more incentive to court a female who has already laid all of her eggs, but can they tell the difference? an experiment was done to measure the male tilapia's response to the smell of female fish. Water containing feces from females that were either pre-ovulatory (they still had eggs) or post-ovulatory (they had already laid their eggs) was washed over the gills of males hooked up to an electro-olfactogram machine which measured when the senses of the males were excited. The amplitude of the electro-olfactogram was used as a measure of the excitability of the males in the two different circumstances. Six males were exposed to the scent of pre-ovulatory females; their readings average 1.51 with a standard deviation of .25. Six different males were exposed to post-ovulatory females; their average readings of 0.87 with standard deviation is .31. Assume that the electro-olfactogram readings were approximately normally distributed within the groups.(A) test for a difference in the excitability of the males with exposure to these two types of females(B) what is the estimated average difference in electro-olfactogram readings between the two groups? What is the 95% confidnece limit for the difference between population means?
A 12 SIDED DIE WITH SIIDES LABLELED 1-12 ARE ROLLED ONCE. EACH NUMBER IS LIKELY TO BE ROLLED .WHAT IS THE PROBABILITY OF ROLLING A NUMBER GREATER THAN 10
Guided PracticeFind the balance in the account. $500 principal earning 4% compounded quarterly, after 6 years. A. $632.66 B. $530.76 C. $634.87
A principal of $1900 was invested at 3.75% interest, compounded annually. Let be the number of years since the start of the investment. Let y be the value of the investment, in dollars. Write an exponential function showing the relationship between y and t?