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topjm [15]
3 years ago
14

Santa has lots of mixed up socks in his sack! If he has 6 green socks, 4 gold socks, 8 black socks and 2 red socks, what is the

minimum he needs to pull out of his sack to get a matching pair?
Mathematics
1 answer:
Studentka2010 [4]3 years ago
8 0
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Based on the problem above, the minimum he needs to pull out of his sack to get a matching pair is 5
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Complete this number sentence with the correct symbol.<br><br> 0.90 ___ 0.9 <br> PLZZZZ I NEED HELP
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= because 0.9 and 0.90 are the same
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2 years ago
Read 2 more answers
WILL MARK BRAINLIEST IF YOU ANSWER BOTH QUESTIONS WITH SOLUTION
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Answer:

1. = 3xy + x - 2y - 4

2. = d^2(2c^3-8c^2d+3d^2)

Step-by-step explanation:

= 9x^2y^2 + 3x^2y - 6xy^2 - 12xy/3xy

First factor the top equation ….

= 3xy(3xy + x - 2y - 4)/3xy

If the top and the bottom both carry 3xy, you can cancel out both of them leaving you with ….

= 3xy + x - 2y - 4

= -16c^6d^6 + 64c^5d^7 - 24c^3d^8/-8c^3d^4

First factor the top equation ....

= -8c^3d^6(2c^3-8c^2d+3d^2)/-8c^3d^4

If the top and the bottom both carry -8c^3 you can cancel out both of them leaving you with ….

= <u>d^6</u>(2c^3-8c^2d+3d^2)/d^4

Apply the exponent rule with d^6 ....

= <u>d^4</u><u>d^2</u>(2c^3-8c^2d+3d^2)/d^4

cancel out d^4 ....

= d^2(2c^3-8c^2d+3d^2)

8 0
2 years ago
Leonard owns a business earning $37,800 in profits. These profits are appreciating at about 2.3% each year. What are Leonard's p
satela [25.4K]

Answer:

  • B. $45341.60

Step-by-step explanation:

<u>Given:</u>

  • Initial profit = $37800
  • Rate of appreciation = 2.3% per year

<u>The equation for this:</u>

  • P(t) = 37800*(1 + 0.023)^t = 37800*1.023^t

<u>Find the value of P(8):</u>

  • P(8) = 37800*1.023^8 = 45341.60

Correct choice is B

3 0
3 years ago
Josie took a long multiple-choice, end-of-year vocabulary test. The ratio of the number of problems Josie got incorrect to the n
FrozenT [24]

Answer:

A. Josie got 36 correct answers.

B. Josie got 90 correct answers.

C. 8:36 and 20:90

D.6:27, 12:54, 30:135, among others.

e. Multiply both numbers on the ratio by the same constant integer, thereby ensuring that the resulting numbers form a ratio equivalent to the original.

Step-by-step explanation:

Very well, so the statement is that Josie got 2 problems incorrect for every 9 that she got correct. First the ask how many questions she got correct given that she missed 8 question. First, we divide the 8 question she missed by 2. Now have 4 pairs of questions that Josie missed and for every pair that she failed; Josie got 9 questions correctly. Therefore, we multiply 4 pairs of incorrect questions times 9 correct questions. So, if Josie had 8 incorrect questions, she also had 36 correct answers on her test.

In the case that Josie missed 20 questions, we divide them by two again in order to obtain the number of pairs that Josie missed. Now have 10 pairs of questions that Josie missed and for every pair that she failed; Josie got 9 questions correctly. Therefore, we multiply 10 pairs of incorrect questions times 9 correct questions. So, if Josie had 8 incorrect questions, she also had 90 correct answers on her test.

With the information we collected, we can affirm that the ratios 8:36 and 20:90 are equivalents to the original 2:9 that was stated. Other examples of equivalents ratios could be 6:27, 12/54, 30:135, among many others.

To find the equivalent ratios what we need to do is find common multiples of the numbers that conform the ratio. To do so, we can multiply both numbers by the same constant integer, thereby ensuring that the resulting numbers form a ratio equivalent to the original.

Have a nice day! :D

6 0
3 years ago
PLEASE ANSWER QUICKLY! WILL GIVE BRANLIEST
uysha [10]

Answer:

Step-by-step explanation:

Let x represent the seating capacity

Number of seats = 40+x

Profit per seat = 10 - 0.20x

For maximum number of seats

P(x) = ( 40+x ) ( 10-0.20x )

P(x) = 400+10x-8x-0.2x^2

P(x) = 400+2x- 0.2x^2

Differentiating with respect to ( x )

= 2 - 0.4x

0.4x = 2

x = 2/0.4

x = 5

The seating capacity will be 40+5 = 45

For the maximum profits

40X10+ 9.9 + 9.8 + 9.7 + 9.6 + 9.5 + 9.4 + 9.3 + 9.2 + 9.1 + ... 1.0, 0.9, 0.8, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1

= 400 + an arithmetic series (first term = 0.1, common difference = 0.1, number of terms = 8+ 40 = 48 )

= 400 + (48/2)(2X0.1 + (48-1)X0.1)

= 400 + 24(0.2 + 4.7)

= 400 + 24(4.9)

= 400 + 117.6

= 517.6

= 517.6dollars

3 0
3 years ago
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