answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yanka [14]
2 years ago
10

(b) 3m - 2n=19 5m + 7n=11​

Mathematics
1 answer:
Korvikt [17]2 years ago
6 0

3m-2n=19

5m+7n=11

21m-14n=133

10m+14n=22

Now add equations

31m=155

m=5

Now let's find n

3×5-2n=19

-2n=4

n=-2

Answer: (5; -2)

You might be interested in
If having a warranty on a car is important a person should buy a car that is _______
Ket [755]

Answer:

the answer is new

Step-by-step explanation:

I just took the test

7 0
2 years ago
For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7
Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean 210x^6y^4

We can deduce that this term will be located somewhere in the middle. So I will calculate k= 5; k=6 \text{ and } k =7.

For k=5

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just x^{n-k} y^k

For k=6

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0
2 years ago
A certain bag of potting soil is 1/4 peat moss, and the rest is dirt, what part is dirt
AVprozaik [17]
If you do the math you'll get 3/4 of the bag is dirt.
4 0
2 years ago
Read 2 more answers
Ken’s predicted temperature for April is 7ºC. His prediction for May is 2ºC higher than April. He used the number line to solve
tia_tia [17]

Answer: Ken Should have moved 9 units to the right because his prediction for May is 9°C. Moving to the left part of the number line would take Ken into negative degrees. 9°C is warmer than 7°C. Therefore, Ken should have moved 9 units to the right of the number line instead of 2 units to the left.


Step-by-step explanation:


5 0
2 years ago
Read 2 more answers
£399 is shared between Ann, Bill, Chloe and Dave.
tiny-mole [99]
Answer is 4.5 Show all
Steps below
6 0
2 years ago
Other questions:
  • In seven years, Huang will be two times as old as he was last year. How old is he now?
    13·2 answers
  • Trisha Long wants to buy a boat in five years. She estimates the boat will cost $15,000 at that time. What must Trisha deposit t
    8·2 answers
  • to estimate the number of bison in the area, researchers put marks on 160 bison later on a flight over the area the researchers
    15·1 answer
  • Last summer, Betty earned $4200 by painting houses. She invested
    8·2 answers
  • What is the area of a circle with 11m and 9m?
    14·1 answer
  • Four people—Rob, Sonja, Jack, and Ang—enter their names into a drawing. The winner receives either a t-shirt or a mug, and which
    10·1 answer
  • naveed makes 6.5litres of soup,correst to the nearest 0.5 litre he serves portions of his soup in 330ml cups correct to the near
    6·1 answer
  • Given that Ray E B bisects ∠CEA, which statements must be true? Select three options. m∠CEA = 90° m∠CEF = m∠CEA + m∠BEF m∠CEB =
    5·2 answers
  • Innea's company's revenue in 201720172017 is \dfrac{36}{25} 25 36 ​ start fraction, 36, divided by, 25, end fraction of its reve
    8·1 answer
  • Gabriel must practice piano at least 15 hours a week. This week he has practiced 6 hours so far. Piano lessons are part of Gabri
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!