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kramer
3 years ago
5

The teacher's helper was putting cookies onto plates. He put 1 cookie on the first plate, 4 cookies on the second plate, 16 cook

ies on the third plate, and 64 cookies on the fourth plate. What kind of sequence is this?
Mathematics
1 answer:
Mariana [72]3 years ago
8 0

Answer:

Geometric sequence

Step-by-step explanation:

A geometric sequence involves each number after the first one being multiplied by a specific number, called the common ratio.

This situation is a geometric sequence, where the common ratio is 4.

For example, there are 4 cookies on the second plate, 16 on the third, and 64 on the fourth. To get each number, the previous number is multiplied by 4.

So, this is a geometric sequence.

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A builder is building a fence with 6-inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to
Varvara68 [4.7K]

Answer:

25 wooden boards

Step-by-step explanation:

Given that:

Width of wooden board = 6 inches

Number of boards required to build a fence of 150 inches long if there are no gaps :

The lenght of fence / width of wooden board

= 150 inches / 6 inches

= 25 wooden boards

6 0
3 years ago
A town in east Texas recieved 10 inches of rain in two weeks. If it kept raining at this rate for a 31-day month, how much rain
Gelneren [198K]
The best way to approach this problem is to find out how much fell in week. As you know what two weeks is, you simply have to halve this, giving you that one week is 5 inches of rain. One you have this, you can multiply this by 4 (as this will give you 4 weeks, or 28 days), and this gives you 20 inches in 28 days. You should then find the odd three days. If you divide 5 by 7, this will give you the rain fall in one day. 5/7= 0.8 inches per day. You then have top multiply this by 3 (as you've got three odd days), and this gives you 2.4. You then have to add together 2.4 and 20, giving you 22.4
Therefore, if the rain continued to fall at the same rate for 31 days, it would receive 22.4 inches of rain.
Hope this helps :) 
8 0
3 years ago
If p+q has the value that is exactly 1/3 less than p what is the value of q
solmaris [256]

Answer:

q = - \frac{1}{3} p

Step-by-step explanation:

\frac{1}{3} less than p = \frac{2}{3} p

Thus

p + q = \frac{2}{3} p ( multiply through by 3 to clear the fraction )

3p + 3q = 2p ( subtract 3p from both sides )

3q = - p ( divide both sides by 3 )

q = - \frac{1}{3} p

8 0
3 years ago
Jamey traveled 45 miles in 15 minutes. Find his average speed per minute for this situation.
Ad libitum [116K]

Answer:

3 miles per min

Step-by-step explanation:

3 miles x 15 (min) = 45 mph

8 0
3 years ago
A/4 - 5/6 = 1/2<br> a/4 - 5/6 = 1/2 help
alexgriva [62]

Answer:

a = 16/3 or 5 1/3 or 5.33...

Step-by-step explanation:

to find a you must first make all of the denominators the same

you must find 4 6 and 2s CGF

and that is 12

so multiply a/4 by 3/3 and get 3a/12

then multiply 5/6 by 2/2 and get 10/12

and lastly multiply 1/2 by 6/6 and get 6/12

at this point you can set the equation up like this

3a/12 - 10/12 = 6/12

but then you can multiply everything by 12

3a - 10 = 6

and then solve

add 10 to both sides

3a = 16

then divide 3 on each side

a = 16/3 or 5 1/3 or 5.33...

8 0
2 years ago
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