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andrey2020 [161]
3 years ago
10

Frank organized his jazz and rock CD Collection. Some CDs are double albums and are therefore wider . The regular CDs are 0.5 cm

wide. The double CDs are 1 cm wide. He found that his 125 CDs equal 75 cm. How many CDs are regular length and how many are double albums?
Mathematics
1 answer:
tester [92]3 years ago
4 0

Answer: 100 of the CDs are single album and 25 are double album.

Explanation: What you have to do first is find out how many single CDs which are .5 cm in length you can put in 125 with out going over 75 cm. Then the rest of the 25 are of course double album CDs and which equal out to be 125 CDs total and 75 cm total. (the double album CDs technically count asone by the way) I got my answer by first seeing how many double CDs can go in 125 without going over 75 cm. The max you can get is 75. So then you keep removing double album CDs until you get the magic number 125 CDs and 75 cm.

Hope I could help

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shusha [124]
Let L represent lower level tickets and U upper level.

Starter equations:
L + U = 2368
78L + 59U = 157800

Solve simultaneous equations:
59L + 59U = 139712
so 19L = 18088
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952 lower level tickets and 1416 upper level tickets were sold.
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3 years ago
L(t) models the length of each day (in minutes) in Manila, Philippines tt days after the spring equinox. Here, t is entered in r
SVETLANKA909090 [29]

Answer:

Given that:

L(t) = 52\sin(\frac{2 \pi t}{365})+728

where

L(t) represents the length of each day(in minutes) and t represents the number of days.

Substitute the value of L(t) = 750 minutes we get;

750= 52\sin(\frac{2 \pi t}{365})+728

Subtract 728 from both sides we get;

22= 52\sin(\frac{2 \pi t}{365})

Divide both sides by 52 we get;

0.42307692352= \sin(\frac{2 \pi t}{365})

or

\frac{2 \pi t}{365} = \sin^{-1} (0.42307692352)

Simplify:

\frac{2 \pi t}{365} =0.43683845

or

t = \frac{365 \times 0.43683854}{2 \times \pi} = \frac{365 \times 0.43683854}{2 \times 3.14}

Simplify:

t \approx 25 days

Therefore, the first day after the spring equinox that the day length is 750 minutes, is 25 days

4 0
3 years ago
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Naddik [55]

Answer:

the dryer costs $425

Step-by-step explanation:

x = washer

y = dryer

x + y = 803

x = y - 47

using the second equation a substitute in the first equation we get

y - 47 + y = 803

2y = 850

y = $425

FYI

x = y - 47 = 425 - 47 = $378

3 0
3 years ago
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asambeis [7]

Answer: 348.8 miles on 16 gallons of gas

Step-by-step explanation:

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Since the car consumes gas at the same rate and only the amount of gas is changed, these two fractions must be equivalent. If the rate at which the car consumes gas changes, it would be different.

Use basic algebraic skills and you should get 348.8 miles.

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Answer:

Step-by-step explanation:

according to the midsegment theorem, a midsegment of a triangle is parallel to a side of a triangle and its length is 1/2 length of the side.

1/2FG= 15, SO FG=30,

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3 years ago
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