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dybincka [34]
4 years ago
15

A student makes a ​$10.50 purchase at the bookstore with a​ $20 bill. The store has no bills and gives the change in quarters an

d​ fifty-cent pieces. There are 30 coins in all. How many of each kind are​ there?
Mathematics
1 answer:
Leviafan [203]4 years ago
3 0

Answer: he collected 22 quarters and 8 fifty-cent pieces

Step-by-step explanation:

Given;

The total amount of money he is to collect is;

A = 20 - 10.50 = $9.50

Let x represent the number of quarter he collected.

Then the number of fifty-cent pieces he collected will be; 30-x

Therefore we can represent it with the equation below;

0.25x + 0.50(30-x) = 9.50

0.25x + 15 - 0.50x = 9.50

0.25x = 15-9.50

x = (15-9.50)/0.25

x = 5.50/0.25

x = 22

The number of fifty-cent is equal to;

30-x = 30-22 = 8

Therefore, he collected 22 quarters and 8 fifty-cent pieces

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LuckyWell [14K]

Answer:

1 ) 180 - 71 = 109

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3) 90

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6) m = 180- 119 = 61

7) 90

8) 11y - 36 = 63 ;  y = 99/11 = 9

~~~~~~~~Next page~~~~~~~~~~

(Q7) 180

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4 0
3 years ago
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Emily can write 1/6 pages for Ms.McCrimmon in 1/12 minutes. What was her unit rate to write full pages?
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1/6:1/12 is 2:1

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3 0
3 years ago
According to a Human Resources report, a worker in the industrial countries spends on average 419 minutes a day on the job. Supp
MA_775_DIABLO [31]

Answer:

A) Between 388 and 450

B) Between 357 and 481

C) Between 326 and 512

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Step-by-step explanation:

We are given;

Mean; x¯ = 419 minutes

Standard deviation; σ = 31 minutes

A) From the empirical rule, 68% falls within 1 standard deviation.

Thus, it will be between;

419 - 1(31) and 419 + 1(31)

Thus gives;

Between 388 and 450

B) From the empirical rule, 95% falls within 2 standard deviation.

Thus, it will be between;

419 - 2(31) and 419 + 2(31)

Thus gives;

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C) From the empirical rule, 99.7% falls within 2 standard deviations.

Thus, it will be between;

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z = (479 - 359)/31

z = 3.871

From the z-table attached, we see that the probability is 0.99995 and as such, the percentage is 99.995%

E) worker spent 400 minutes on the job.

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z = (419 - 400)/31

z = 0.613

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In percentage, we have; 72.907%

6 0
3 years ago
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Answer:

2p=348 cm\: S=6726 cm^{2}

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Ciao, come stai?

1) Per prima cosa, dobbiamo trovare la misura della base più grande. Scomponendo la figura possiamo visualizzare un triangolo e un quadrato. Ci sono somiglianze con gli angoli. Quindi è un triangolo rettangolo. Applichiamo il teorema di Pitagora:

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2p=60+57+76+60+95\\2p=348 cm

3) L' area

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The value of the digit 4 is worth 4,000 in the number 84,230.
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3 years ago
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