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irina1246 [14]
3 years ago
15

There are blue, red and green pencils in the box—20 pencils total. There are 6 times more green pencils than blue pencils. There

are fewer red pencils than green pencils. How many pencils do you need to take out of the box in order to get at least one red pencil among them?
Mathematics
1 answer:
lana [24]3 years ago
5 0

Answer:

You have to take 15 pens to get at least one red pencil.

Step-by-step explanation:

If there were one red and 6 green pens, there would be more red than green pens.

If there were 3 or more blue and thus 18 or more green pens, the number of pens would be over 20.

So there must be 2 blue, 12 green and thus 6 red pencils. So you have to take at least 15 pens to be sure that you got a red one.

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Someone please explain step by step.
dolphi86 [110]

Answer:

{10}^{th}  \: term  =  \frac{5}{512}

Step-by-step explanation:

geometric progression formula:

{n}^{th} \:  term  = ar ^{n - 1}

given:

common ratio, r = 1/2

first \: term \:  = 5

1) find the value of a

{n}^{th}  \: term \:  = a {r}^{n - 1}

we're finding the 1st term, so substitute 1 into n:

{1}^{st}  \: term  = a( \frac{1}{2} ) {}^{1 - 1}

first term is 5. so we substitute 5 into the equation:

5 = a(1)

a = 5

2) find the 10th term

we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:

{10}^{th}  \: term  = 5( \frac{1}{2} ) {}^{10 - 1}

{10}^{th}  \: term  = 5( \frac{1}{512} )

{10}^{th}  \: term =  \frac{5}{512}

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3 years ago
An item is priced at $13.12. If the sales tax is 5%, what does the item cost including sales tax?
disa [49]

Answer:

$13.78

Step-by-step explanation:

to get the tax, you multiply $13.12 by 0.05, which would be 0.656. then you add that to the original price of 13.12 and round it up to get your answer

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The difference in the x-coordinates of two points is 3, and the difference in the y-coordinates of the two points is 6. What is
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To find the slope, use the rise/run technique with rise as the difference in y-coordinates and run as the difference in x-coordinates.  So, the rise is 6 units and the run is 3 units in this situation.  Now simply put it as a fraction: 6/3, which can be simplified to 2/1, or 2.
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Answer:

165x>_ 175y

Step-by-step explanation:

Car #1 is x while Car #2 is Y, since Car #1 went at least the same amount of distance of car #2, it means that Car #1 either went farther or has the same distance as car #2. (Make sure you choose greater than or equal to sign not greater than!)

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