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ivolga24 [154]
3 years ago
10

Can you help me with all those problems please

Mathematics
1 answer:
damaskus [11]3 years ago
5 0

18. A

19. A

20a. tbh i dunno

b. mmm

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Simplify the expression \[\frac{6}{\sqrt{36} + \sqrt{27}} + \frac{6}{\sqrt{27} + \sqrt{18}} + \frac{6}{\sqrt{18} + \sqrt{9}}.\]
Viktor [21]

Answer:

= 18 ( 3 + 2(\sqrt{3}  + \sqrt{2} ))

Step-by-step explanation:

6(\sqrt{36} +\sqrt{27}) + 6(\sqrt{27} +\sqrt{18}) + 6(\sqrt{18} + \sqrt{9} )\\= 6( {6} +\sqrt{9*3}) + 6( \sqrt{9*3}  +\sqrt{9*2}) + 6(\sqrt{9*2} + 3 )\\= 6( {6} +3\sqrt{3}) + 6(3\sqrt{3} +3\sqrt{2}) + 6(3\sqrt{2} + 3 )\\=36 + 18\sqrt{3} + 18\sqrt{3} + 18\sqrt{2}+ 18\sqrt{2} + 18\\= 36+18  +18( \sqrt{3}+ \sqrt{3} +\sqrt{2} + \sqrt{2})\\= 54 + 18 (2\sqrt{3} +2\sqrt{2})\\=54 + 36\sqrt{3}  + 36\sqrt{2}\\= 18 ( 3 + 2(\sqrt{3}  + \sqrt{2} ))

7 0
3 years ago
Bridgette bought 1 pack of white T-shirts and 5 packs of blue T-shirts for her basketball team. The white T-shirts come in packs
irakobra [83]
<h3>Answer:  32</h3>

Work Shown:

1 pack of white = 2 shirts = A

1 pack of blue = 6 shirts

5 packs of blue = 5*6 = 30 shirts = B

A+B = 2 white shirts + 30 blue shirts = 32 shirts total

5 0
3 years ago
Read 2 more answers
Five Cs Bank issues credit cards to its customers. In the past 3.4% of the out-of-state nonfraudulent credit card transactions w
kolezko [41]

Answer:

0.0838 (8.62%)

Step-by-step explanation:

defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is

P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent =  0.033 * 0.092 + 0.977 * 0.034 = 0.0362

then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent  , then

P(F/G)=P(F∩G)/P(G) =  0.033 * 0.092 /0.0362 =  0.0838 (8.62%)

where

P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station

P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station

7 0
3 years ago
Read 2 more answers
Consider Adam's income statement. Which shows how to calculate
geniusboy [140]

Answer:

C) $3,100-$1,310=$1,790

Step-by-step explanation:

Expenses :

150+850+110+70+90+40= $1,310

Income :

$3,100

$3,100  -  $1,310  =  $1,790

7 0
3 years ago
Paige has to make invitation cards for a party. If she can make 18 cards in 2 days, how many cards can she make in 30 days
LenaWriter [7]

Answer:

270

Step-by-step explanation:

3 0
3 years ago
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