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yaroslaw [1]
3 years ago
12

Icated (Q#1-4). 2. Solve by substitution; x+3y + 4) 3x - 5y = 8 3 (3x+4) aytla

Mathematics
1 answer:
puteri [66]3 years ago
4 0

Answer:

See explanation

Step-by-step explanation:

Assuming your system is:

x + 3y = 4

3x - 5y = 8

Then make x the subject in the first equation to get:

x = 4 - 3y

Put this equation into the second equation to get:

3(4 - 3y) - 5y = 8

12 - 9y - 5y = 8

- 9y - 5y = 8 - 12

-14y =  - 4

y =   \frac{ - 4}{ - 14}  =  \frac{2}{7}

This means that:

x = 4 - 3 \times  \frac{2}{7}

x = 4 -  \frac{6}{7}  =  \frac{22}{7}

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Find the number C(10,6)
EastWind [94]

Answer:

210.

Step-by-step explanation:

Combination formula is

nCr = \frac{n!}{r!(n-r)!}

Then, we have that n = 10 and r=6:

C(10,6) = \frac{10!}{6!(10-6)!}

C(10,6) = \frac{10!}{6!4!}

To simplify calculus, we are going to use that n! = (n-1)!n = (n-2)!(n-1)n and so on.

C(10,6) = \frac{6!*7*8*9*10}{6!4!}

C(10,6) = \frac{7*8*9*10}{4!}

C(10,6) = \frac{5040}{4*3*2*1}

C(10,6) = \frac{5040}{24}

C(10,6) = 210.

5 0
2 years ago
The price of a fan is $15. This price is 27% lower than last week.
Goshia [24]

The price of fan was 20 Dollars 55 cents last week.

Step-by-step explanation:

Let,

The price last week = x

As the price is 27% lower than last week, therefore

(100%-27%) * Price last week = $15

73% * x = 15

Solving the percentage;

\frac{73}{100}*x=15\\ Multiplying\ both\ sides\ by\ 100\\100*\frac{73x}{100} = 15*100\\73x=1500\\Dividing\ both\ sides\ by\ 73\\\frac{73x}{73} = \frac{1500}{73} \\x= 20.55

The price of fan was 20 Dollars 55 cents last week.

Keywords: Percentage, multiplication.

Learn more about percentages at:

  • brainly.com/question/2140933
  • brainly.com/question/2142762

#LearnwithBrainly

5 0
2 years ago
Factorize 9(a+1)^2-81​
lora16 [44]

Answer:

The answer is 9(a-2)(a+4).

Step-by-step explanation:

Use a^{2} -b^{2} =(a-b)(a+b)  

9(a+1)^{2} -81= 9( (a+1)^{2}-9)=  9( (a+1)^{2}-3^{2} )= 9(a+1-3)(a+1+3)\\=9(a-2)(a+4).

6 0
2 years ago
Which expression is equivalent to (3x-6)(4x+1)
vodka [1.7K]

Answer:

12x^2 -21x -6

Step-by-step explanation:

(3x-6)(4x+1)

FOIL

first 3x*4x= 12x^2

outer 3x*1 = 3x

inner -6*4x = -24x

last  -6*1 = -6

Add them together

12x^2 +3x -24x -6

Combine like terms

12x^2 -21x -6

8 0
2 years ago
The probability of getting a head is 0.3 find the probability of getting a tail
ratelena [41]

Answer: 0.7


Step-by-step explanation:

p(tail) + p(head) = 1

p(tail) = 1 - p(head)

p(tail) = 1 -0.3

p(tail) = 0.7





mark the brainliest plzz



6 0
2 years ago
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