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Brrunno [24]
2 years ago
5

The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, wh

ich 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?
Mathematics
1 answer:
Elden [556K]2 years ago
7 0

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.

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Ernie earned $121.50 more than Kaylin. Tria earned $35 less than 3 times the amount Kaylin earned. Ernie, Tria, and Kaylin earne
Dvinal [7]
X - Ernie, y - Kaylin, z - Tria
x = y + 121.50
z = 3y - 35
x + y + z = 579
-------------------------
z = 3 y - 35      =>   - 3 y + z = -35
y + 121.50 + y + z = 579
---------------------------------
- 3 y + z = - 35        / · ( -1 )
 2 y + z = 457.50     (we will use the elimination method) 
---------------------------------
3 y - z = 35
2 y + z = 457.50
----------------------
5 y = 492.5,            y = 492.5 : 5 = 98.5
z = 3 · 98.5 - 35
z = 260.5
Tria earned $260.5 
8 0
2 years ago
Read 2 more answers
Molly is making strawberry-infused water. For each ounce of strawberry juice, she uses 3 time many ounces of water. She wants to
Aneli [31]

Answer:

s + 3w = 64

Step-by-step explanation:

s represents the amount of strawberry juice

w represents the amount of water

then,  

s + 3w = 64

4 0
2 years ago
Read 2 more answers
Agent Hunt is transferring classified files from the CIA mainframe to his flash drive. The variable S models the size of the fil
amid [387]

Answer:

<h2>50MB</h2>

Step-by-step explanation:

\bold{METHOD\ 1:}\\\\\text{Calculate the value of }S\ \text{in}\ 10s,\ 20s,\ 30s,\ ... \text{and difference if them}\\\\for\ t=10:\\\\S=5(10)+45=50+45=95\\\\for\ t=20:\\\\S=5(20)+45=100+45=145\\\\for\ t=30:\\\\S=5(30)+45=150+45=195\\\\195-145=50\\145-95=50\\\\\boxed{50\ MB\ per\ 10s}

\bold{METHOD\ 2:}\\\\S_1=5t+45\to \text{in t second}\\\\S_2=5(t+10)+45\to \text{10 second leter}\\\\\text{Difference}\\\\S_2-S_1=5(t+10)+45-(5t+45)=5t+50+45-5t-45=50\\\\\boxed{50MB\ per\ 10s}

6 0
2 years ago
Read 2 more answers
Kristen owns 61 shares of Prince Waste Collection and 45 shares of Nar Heating/Cooling. Nar Heating/Cooling is worth $7.88 per s
skelet666 [1.2K]
Given:
Kristen owns 61 shares of Prince Waste Collection
Kristen owns 45 shares of Nar Heating/Cooling

                        Number of Shares      Value per share          Total
Prince Waste
Collection                  61                             16.59                   1,011.99
Nar Heating/
Cooling                     45                              7.88                       354.60
Total                        106                                                         1,366.59

If Kristen sells all of her stocks, she will receive a total of $1,366.59
6 0
2 years ago
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Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he’ll call her on the
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Answer:

84%

Step-by-step explanation:

The probability of Thomas bumping into her at school is 80%, so the probability of not bumping into her is 100% - 80% = 20%.

If he doesn't bump into her (20% chance), he will call her, and the probability of asking her in this case is 60%, so the final probability of asking her in this case is:

P_1 = 20\% * 60\% = 12\%

If he bumps into her (80% chance), the probability of asking her is 90%, so the final probability of asking her in this case is:

P_2 = 80\% * 90\% = 72\%

To find the probability of Thomas inviting Madeline to the party, we just have to sum the probabilities we found above:

P = P_1 + P_2

P = 12\% + 72\% = 84\%

5 0
2 years ago
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