Answer:
2000
Step-by-step explanation:
1 dm =1000
2dm =?
2dm x 1000
1dm
2000
To simplify the process of expanding a binomial of the type (a+b) n (a + b) n, use Pascal's triangle. The same numbered row in Pascal's triangle will match the power of n that the binomial is being raised to.
A triangular array of binomial coefficients known as Pascal's triangle can be found in algebra, combinatorics, and probability theory. Even though other mathematicians studied it centuries before him in India, Persia, China, Germany, and Italy, it is called after the French mathematician Blaise Pascal in a large portion of the Western world. Traditionally, the rows of Pascal's triangle are listed from row =0 at the top (the 0th row). Each row's entries are numbered starting at k=0 on the left and are often staggered in relation to the numbers in the next rows. The triangle could be created in the manner shown below: The top row of the table, row 0, contains one unique nonzero entry.
Learn more about triangle here
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Answer:
A) -4x + 9y = 9
B) x -3y = -6
We multiply B) by 3
B) 3x -9y = -18 Then add it to A)
A) -4x + 9y = 9
-x = -9
x = 9
9 -3y = -6
3y = 15
y = 5
Step-by-step explanation:
decrease in temperature if you hike up the mountain 3000 meters is
° .
<u>Step-by-step explanation:</u>
Here we have , Hiking up a mountain, you notice that the air temperature drops 10 degrees every 1000 meters increase in elevation . We need to find Write a multiplication expression to represent the decrease in temperature if you hike up the mountain 3000 meters. Let's find out:
For every 1000 meters rise in elevation , there is decrease in 10° of temperature . So , For rise in n meters in elevation , there is decrease in n×10° of temperature i.e
Decrease in temperature = (n/1000)×(-10) i.e.
⇒ (n/1000)×(-10)
⇒ 
At n = 3000 meters:
⇒ 
⇒ 
⇒
°
Therefore , decrease in temperature if you hike up the mountain 3000 meters is
° .
Answer:

Step-by-step explanation:
we know that
Karl makes 7 1/2 batches of cookies using 1 1/2 dozen eggs
so using proportion
Find out how many batches of cookies could he make with a dozen eggs
step 1
Convert mixed numbers to an improper fraction


step 2
Applying proportion
Let
x ----> the amount of batches of cookies
