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inysia [295]
3 years ago
5

6. You have a coin collection of nickels and dimes containing 63 coins. If you have $5.05, how may of each coin

Mathematics
1 answer:
S_A_V [24]3 years ago
3 0

Answer:

n + d = 20....n = 20 - d

0.05n + 0.10d = 1.35

0.05(20 - d) + 0.10n = 1.35

1 - 0.05d + 0.10d = 1.35

-0.05d + 0.10d = 1.35 - 1

0.05d = 0.35

d = 0.35/0.05

d = 7 <==== 7 dimes

n + d = 20

n + 7 = 20

n = 20 - 7

n = 13 <=== 13 nickels

Read more on Brainly.com - brainly.com/question/4688670#readmore

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The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
Maru [420]

C: 4 is the right answer

Step-by-step explanation:

Given

a1 = -3

a15 = 53

We know that explicit formula for the arithmetic sequence is:

a_n=a_1+(n-1)d

For the 15th, term it will be

a_{15}=-3+(15-1)d\\53=-3+14d

Adding 3 on both sides

53+3 = -3+3 + 14d\\56 = 14d

Dividing both sides by 14

\frac{56}{14}=\frac{14d}{14}\\d=4

Hence,

C: 4 is the right answer

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

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4 0
2 years ago
There are 13 buttons in a bag 9 buttons are white. 4 buttons are black Carol takes a button at random from the bag, and keeps it
arlik [135]

Step-by-step explanation:

Answer is case 1st:

P(of white button) = 9/13

P(of black button) = 4/12

Case 2nd

P(of black button) = 4/13

P(of white button) = 9/12

Explanation

Given: A Question

To find: Probability

Solution :Case 1st

If carol takes the first button is white

P(of picking a white button) = 9/13

And

P(of picking a black button) = 4/12

Case 2nd

If carol takes the first button is black

So, P(of picking a black button) = 4/13

And P( of picking a white button) = 9/12

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Answer:

√5

Step-by-step explanation:

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A diagram helps.

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Answer:

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