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Naily [24]
3 years ago
13

There is a jar containing 80 all of which are either quarters or die the total value of the coins is $13 how many of each coin a

re there in the jar make sure to write the Quetion social work
Mathematics
1 answer:
padilas [110]3 years ago
3 0

Answer:

There are 33 quarters and 47 dimes

Step-by-step explanation:

Let the number of quarters be q.

Let the number of dimes be d.

There are 80 coins in total. Therefore:

q + d = 80 ________(1)

The total value of coins is $13.

The value of a quarter is $0.25 and the value of a dime is $0.10. This means that:

0.25q + 0.10d = 13 _____(2)

We have a system of equations:

q + d = 80 ________(1)

0.25q + 0.10d = 13 ____(2)

From (1):

q = 80 - d

Put this in (2):

0.25(80 - d) + 0.10d = 13

20 - 0.25d + 0.10d = 13

Collecting like terms:

-0.15d = 13 - 20

-0.15d = -7

d = -7 / -0.15

d ≅ 47

Therefore:

q = 80 - 47 = 33

There are 33 quarters and 47 dimes.

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The opposite of -17 I need the answer please and thanks
alex41 [277]
The answer is +17 or just 17 :)
7 0
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What irrational number can be added to pi to get a sum that is rational
m_a_m_a [10]

Answer is  -pi

Let x be this unknown number. Adding on x to pi gets us the expression x+pi

If we set x+pi equal to zero (which is a rational number) and solve for x, we get

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x+pi - pi = 0 - pi

x = -pi

so adding pi to -pi will lead to 0 since

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5 0
3 years ago
If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor
choli [55]
Looking at the set, we are given 18 elements. 17 is prime; it has only two factors: 1 and 17, since 1•17=17. So, the question is really asking what is the probability the numbers 1 or 17 is chosen. As mentioned earlier, 17 is prime, so there are two possible choices: 1 and 17.

P (probability) = possible outcomes / total outcomes

It is important to note that these events are “or” events, meaning that the probability can only be determined by choosing a 1 or a 17; you can’t randomly chose a 1 and 17 at the same time. So, the formula is:

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All this is saying is that given two possible outcomes, the probability occurs independent of each event; they don’t occur at the same time.

P(1 or 17) = P(1)/18 + P(1)/18

P(1 or 17) = 2/18

Since 17 is prime, it’s two and only factors are 1 and 17. The probability of randomly choosing a 1 or 17 is 2/18, meaning that there are 2 elements in the set out of a possible 18 elements that can be randomly chosen.

2/18 simplifies to 1/9


So, your answer is 1/9
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2 years ago
A truck can travel 1200 miles on 80 gallons of gasoline. how far can it travel on 240 gallons of gasoline ? Show your work
pogonyaev

Answer:

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Step-by-step explanation:

80 gal can go 1200

160 gal can go 2400

240 gal can go 3600

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