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Serggg [28]
3 years ago
7

Write the ration 3/5/4/5 in simplest form

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

3 : 5 = 3 : 5

Step-by-step explanation:

Greatest Common Factor is 1

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Expand (2x + 3)^5 using the Binomial Theorem and Pascal’s triangle. Show all steps.
kari74 [83]

Answer:

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

Step-by-step explanation:

(2x + 3)⁵

₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵

Use Pascal's triangle to find nCr.

\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵

(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

7 0
3 years ago
One reading an Antarctic research station showed that the temperature was -35 degrees Celsius what is this temperature in degree
Musya8 [376]
It is very simple it would be positive but would remain 35
4 0
3 years ago
What is 6.34 when the 34 is repeating as a fraction
lana [24]

ANSWER:

6_34/99

STEP:

So yes. When a decimal is repeating, you can take the repeating number (most likely a decimal) and put 99 under it. Since 99 cannot be solved, you put 99. So, 34/99. Though we are not finished. There is still the whole 6 number left. So, you do 6_34/99.

Proof:

10x=6.6...

 -x=-0.6...

9x=6

x=6/9=1/3.

3 0
3 years ago
Select the equation of a line that is parallel to the line 4y=3x+5 use the attached image below to help you out!!!
BARSIC [14]

Answer:

B

Step-by-step explanation:

Parallel lines have the same slope. The slope of the given line is 3/4. Line B has the same slope.

7 0
3 years ago
Read 2 more answers
Question 1 (1 point)
olya-2409 [2.1K]

For this case we can propose a system of equations:

x: Let the variable that represents the number of small cookies

y: Let the variable that represents the number of large cookies

According to the statement we have:

x + y = 130\\2x + 3y = 310

We multiply the first equation by -2:

-2x-2y = -260

We have the following equivalent system:

-2x-2y = -260\\2x + 3y = 310

We add the equations:

-2x + 2x-2y + 3y = -260 + 310\\y = 50

We look for the value of the variable "x":

x = 130-y\\x = 130-50\\x = 80

Answer:

They sold 80 small cookies and 50 large cookies

6 0
3 years ago
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