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VARVARA [1.3K]
3 years ago
14

2nd term in expansion of the binomial theorem (4x+2y^3)^3 show work

Mathematics
1 answer:
Roman55 [17]3 years ago
7 0

I hope this helps with you

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3. Solve the following application of a system of linear equations.
zhuklara [117]

Answer:

Equations:

y =  14 + 9 x --- Cindy

y = 10 x --- Ruben

Solution to equation:

Time they have the same amount: 14 minutes

Number of cards they have at that time: 140 flashcards

Step-by-step explanation:

Solving (a): Variables and what they represent

The variables to use are x and y

Where x represent the minutes and y represents the number of flashcards in x minutes

Solving (b): System of linear equation

Cindy:

Existing\ Flashcards = 14

Additional = 9 per minute

Total number of flashcards (y) in x minutes is:

y =  Existing\ Flashcards + Additional * x

y =  14 + 9 * x

y =  14 + 9 x

Ruben:

Rate = 10 per minute

Total number of flashcards (y) in x minutes is:

y = Rate * x

y = 10 * x

y = 10 x

Solution to Equations:

Time they have the same amount.

To do this, we equate both expressions

i.e.

10x = 14 + 9x

Collect Like Terms

10x - 9x = 14

x = 14

Number of cards they have at that time.

Here, we simply substitute 14 for x in any of the equations.

y = 10 x

y = 10 * 14

y = 140

or

y =  14 + 9 x

y = 14 + 9 * 14

y = 14 + 126

y = 140

4 0
3 years ago
Students at Maple school earned $708 selling candles. They want to accumulate $2000 for a club trio. What percent of their goal
Sholpan [36]

Answer:

<u>The correct answer is 35.4%</u>

Step-by-step explanation:

Let's check the information provided in the question:

Savings goal = US$ 2,000 for the club trip

Earnings for the candles selling = US$ 708

For calculating the accumulated percentage, we can do it this way:

Accumulated percentage = Earnings / Savings goal

Accumulated percentage = 708 / 2,000 * 100

Accumulated percentage = 0.354 * 100

<u>Accumulated percentage = 35.4%</u>

<u>Students at Maple School has accumulated 35.4% of their savings goal with the candles selling.</u>

5 0
3 years ago
Find the value of the following expression: (3^8 ⋅ 2^-5 ⋅ 90)−2 ⋅ ⋅ 3^28 (5 points) Write your answer in simplified form. Show a
Darya [45]
18452.8125 use PEMDAS
3 0
3 years ago
Why is about half of all freshwater on Earth is inaccessible to humans?
Tcecarenko [31]

Answer:

It is too dirty to clean

Step-by-step explanation:2.5% of the earth's fresh water is unavailable: locked up in glaciers, polar ice caps, atmosphere, and soil; highly polluted; or lies too far under the earth's surface to be extracted at an affordable cost

8 0
3 years ago
Read 2 more answers
What is 9+1<br> no take away<br> Yes<br> please help long answer pls and ty bye bye
Kay [80]

Answer:10

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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