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ryzh [129]
3 years ago
13

PLS HELP ASAP PLS PLSPLS What is the explicit formula for this sequence? 6, 2, -2, -6, ...

Mathematics
1 answer:
Marysya12 [62]3 years ago
5 0

Answer:

B

Step-by-step explanation:

this is just common sense. if you would have tried you could have easily answered this yourself.

the sequence starts with 6. that is a1.

so, the formula simply has to add "something" to 6.

therefore, A and D are out.

and then we see immediately that the sequence is built by subtracting 4 (or adding -4) for every step.

so, we need to add multiples of -4.

therefore, only B is correct (C adds multiples of +4).

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Landon finds that the school cafeteria has 8,000 milliliters of grape juice, 4.2 liters
KengaRu [80]

Answer:

1) Part A)

Liters    Mililiters

  1            1,000

  5           5,000

  8           8,000

 14          14,000

2) Part B)

One way to convert 4.2 liters to milliliters is to <u>   multiply   </u> the number of liters by the number of milliliters in 1 liter. This means there are <u>   4,200   </u>milliliters in 4.2 liters. The cafeteria has the greatest amount of  <u>   orange   </u>juice, the second greatest amount of    <u>     grape     </u> juice, and the least amount of <u>    cranberry     </u>juice.

Explanation:

<u>1) Data:</u>

  • Grape juice: 8,000 mililiters
  • Cranberry juice: 4.2 liter
  • Orange juice: 12,000 mililiters

  • There are 1,000 mililiers in 1 liter

<u>2) Part A:</u>

<u>Table:</u>

The table is garbled. This is what the tables could look like:

Liters    Mililiters

  1            1,000

  5           5,000

  8           8,000

 14          14,000

You can see that the table shows a direct relationship between the number of mililiters and the number of liters:

  • 1,000/1 = 1,000
  • 5,000/5 = 1,000
  • 8,000/8 = 1,000
  • 14,000/14 = 1,000
  • number of mililiters / liters = 1,000

<u>3) Part B)</u>

Fill in the blanks to explain how Landon can convert 4.2 liters of cranberry juice to mililiters so he can compare the amounts of the different juices:

i) One way to convert 4.2 liters to milliliters is to <u>   multiply   </u> the number of

liters by the number of milliliters in 1 liter.

  • As demonstrated above there is a direct relationship between the number of mililiters and the number on liters, then you must multiply the number of liters by the proportionality constant to find the number of mililiters.

ii) This means there are <u>   4,200   </u>milliliters in 4.2 liters.

  • That is the product 4.2 × 1,000 = 4,200.

iii) The cafeteria has the greatest amount of  <u>   orange   </u>juice, the second greatest amount of    <u>     grape     </u> juice, and the least amount of <u>    cranberry     </u>juice.

Rank the amounts:

  • 12,000    >    8,000    >    4,200

            ↑                   ↑                   ↑

       orange            grape        cranberry

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How many times does the digit 7 appear among the terms of the sequence of consecutive integer numbers 7, 8, 9, ...., 777?
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Answer:

234 times

Step-by-step explanation:

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7 as tens digit (70-71-72..... 79): 10 times

20 times the digit 7 appears in first one hundred (0-100)

Let's calculate how many times 7 would be as units or tens in 7 hundreds

20X7 = 140 times digit 7 appears until number 699

<u>Now, from 700 to 777</u>

7 as hundreds digit (700-701-702 .... 777): 78 times

7 as tens digit (770-771-772 .... 777): 8 times

7 as units digit (707-717-727....777): 8 times

78 + 8 + 8 = 94 times the digit 7 appears in the range 700 - 777. Plus 140 times

140 + 94 = 234 times

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