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yanalaym [24]
3 years ago
6

What are the first four terms in the multiplication, or geometric, pattern in which the first term is 7 and then each term is mu

ltiplied by 4?
7, 28, 112, 448

7, 28, 56, 112

7, 11, 15, 19

28, 112, 448, 1792
Mathematics
1 answer:
alexgriva [62]3 years ago
7 0
They tell you that the first term is 7 so that cancels out the last answer choice immediately. Then they tell you that each term is multiplied by 4 so when you multiply 7x4 you get 28. This cancels out the second to last answer. Then keep multiplying by 4. 28x4 is 112. 112x4 is 448.
Therefore, the obvious answer is the first choice!
<span>7, 28, 112, 448</span>
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To ship a 2 pound package, the company will charge $ and to ship a 3.5 pound package, the company will charge $
blsea [12.9K]

Answer:

"...charges a flat rate of $5.00..." Flat rates in the business world is what we call constants in the mathematical word. That is, if we have a flat rate, that number doesn't change for anything because it has no variable attached to it (unless otherwise noted). You can identify what the constants are because they do not have the tags "per", "each", or "for every" attached to them when in the English language. In this case, this number remains the same no matter if 1 package gets shipped or a 1000 packages get shipped. So, we have the first part of our equation:  

$5.00...

Step-by-step explanation:

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In a recent survey, 73% of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,
Archy [21]

Answer:

So, the probability is P=0.094.

Step-by-step explanation:

We know that in a recent survey, 73% of the community favored building a police substation in their neighborhood.

We get that p=0.73 and q=1-0.73=0.27.  

We calculate the probability that exactly 8 of them favor the building of the police substation, if 14 citizens are chosen.

We get that n=14 and k=8.

We calculate the probability:

P=C_k^n\cdot p^k\cdot q^{n-k}\\\\P=C_8^{14}\cdot 0.73^8\cdot 0.27^6\\\\P=3003\cdot 0.00003124\\\\P=0.094\\

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3 years ago
-X-5y + z = 17
grin007 [14]

Answer:

x = -1 , y = -4 , z = -4

Step-by-step explanation:

Solve the following system:

{-x - 5 y + z = 17 | (equation 1)

-5 x - 5 y + 5 z = 5 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Swap equation 1 with equation 2:

{-(5 x) - 5 y + 5 z = 5 | (equation 1)

-x - 5 y + z = 17 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Subtract 1/5 × (equation 1) from equation 2:

{-(5 x) - 5 y + 5 z = 5 | (equation 1)

0 x - 4 y+0 z = 16 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Divide equation 1 by 5:

{-x - y + z = 1 | (equation 1)

0 x - 4 y+0 z = 16 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Divide equation 2 by 4:

{-x - y + z = 1 | (equation 1)

0 x - y+0 z = 4 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Add 2 × (equation 1) to equation 3:

{-x - y + z = 1 | (equation 1)

0 x - y+0 z = 4 | (equation 2)

0 x+3 y - z = -8 | (equation 3)

Swap equation 2 with equation 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x - y+0 z = 4 | (equation 3)

Add 1/3 × (equation 2) to equation 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y - z/3 = 4/3 | (equation 3)

Multiply equation 3 by 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y - z = 4 | (equation 3)

Multiply equation 3 by -1:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Add equation 3 to equation 2:

{-x - y + z = 1 | (equation 1)

0 x+3 y+0 z = -12 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Divide equation 2 by 3:

{-x - y + z = 1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Add equation 2 to equation 1:

{-x + 0 y+z = -3 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Subtract equation 3 from equation 1:

{-x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Multiply equation 1 by -1:

{x+0 y+0 z = -1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Collect results:

Answer: {x = -1 , y = -4 , z = -4

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1/4 of a pizza is split equally between three sisters. How much of a whole pizza will each sister get?
sattari [20]

Answer:

1/12 of the pizza

Step-by-step explanation:

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