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3 years ago

What is the solution of the system?

Mathematics

2 answers:

Anastasy [175]3 years ago

7 0

Answer: There is no solution to the system of equations

Step-by-step explanation:

y + 7y = 3x ------(1)

6x - 2y = 12 -----(2)

from equation(1)

y = 3x - 7y -------(3)

substitute equation (3) in equation (2)

6x - 2(3x-7) =12

6x - 6x +14 = 12

0+ 14 = 12

Therefore there is no solution

mario62 [17]3 years ago

5 0

Y + 7 = 3x.....y = 3x - 7

6x - 2y = 12
6x - 2(3x - 7) = 12
6x - 6x + 14 = 12
14 = 12 (incorrect)

when ur variables cancel out and u r left with an incorrect statement, this means there is no solution because ur lines are parallel

so ur answer is : no solution

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what is the answer here 90 student went to the zoo, 3 had hamburger milk and cake; had 5 milk and hamburger; 10 had cake and mil

dangina [55]

Answer:

a) 37

b) 2

c) 17

d) 8

Step-by-step explanation:

90 Students went to the zoo. 3 had hamburger, milk and cake; 5 had milk and hamburger, 10 had cake and milk; 8 had cake and hamburger; 24 had hamburger; 38 had cake; 20 had milk. How many had a. nothing b. cake only c. milk only d. hamburger only

Solution:

Let h represent students that ate hamburger, m represent students that had milk and c represent students that had cake.

Given that:

n(h ∩ m ∩ c) = 3, n(m ∩ h) = 5, n(c ∩ m) = 10, n(c ∩ h) = 8, n(h) = 24, n(c) = 38, n(m) = 20

The number of students that had nothing = n(h ∪ m ∪ C)'

The number of students that had only milk = n(m ∩ h' ∩ C')

The number of students that had only cake = n(m' ∩ h' ∩ C)

The number of students that had only hamburger = n(m' ∩ h ∩ C')

a) n(m ∩ h' ∩ C') = n(m) - n(m ∩ h) - n(c ∩ m) - n(h ∩ m ∩ c) = 20 - 5 - 10 - 3 = 2

n(m' ∩ h ∩ C') = n(h) - n(m ∩ h) - n(c ∩ h) - n(h ∩ m ∩ c) = 24 - 5 - 8 - 3 = 8

n(m' ∩ h' ∩ C) = n(m) - n(m ∩ c) - n(c ∩ h) - n(h ∩ m ∩ c) = 38 - 10 - 8 - 3 = 17

n(m ∩ h' ∩ C') + n(m' ∩ h ∩ C') + n(m' ∩ h' ∩ C) + n(h ∪ m ∪ C)' + n(h ∩ m ∩ c) + n(m ∩ h) + n(c ∩ m) + n(c ∩ h) = 90

2 + 8 + 17 + 5 + 10 + 8 + 3 + n(h ∪ m ∪ C)' = 90

53 + n(h ∪ m ∪ C)' = 90

n(h ∪ m ∪ C)' = 37

b) n(m' ∩ h' ∩ C) = 17

c) n(m ∩ h' ∩ C') = 2

d) n(m' ∩ h ∩ C') = 8

4 0

2 years ago

3y - 2x = 9 slope intercept form

Alchen [17]

Answer:

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Step-by-step explanation:

$3y-2x=9\\\\3y=2x+9\\\\y=\frac{2}{3}x+3$

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2 years ago

If a,b, and c are prime numbers, do (a+b)(a+b) and cc have a common factor that is greater than 1?

Tanya [424]

Answer:

1. Information is not sufficient

2. Information is not sufficient

Step-by-step explanation:

Question Modified

If a,b, and c are prime numbers, do (a+b) and c have a common factor that is greater than 1?

(1) a,b, and c are all different prime numbers

(2) c≠2

Explanation

1. Let's assume values of 1,3 and 5 to a, b, and c respectively

a + b = 1+3 = 4

4 and 5 do not have any common factor aside 1

Let's assume values of 1,3 and 2 to a,b and c respectively

a + b = 1+3 = 4

4 and 2 have a common factor of 2

So, the available information is not sufficient

Let's assume values of 2,7 and 3 to a b and c response

a + b = 2 + 7 = 9

9 and 3 have a common factor of 3

Also, let's assume values of 2,7 and 5 to a, b and c

a + b = 2 + 7 = 9

9 and 5 do not have a common factor

So, the available information is also not sufficient to answer the question.

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So here, 2/3 ÷ 1/4 can be rewritten as 2/3 × 4/1.

Now we are simply multiplying fractions so we multiply across the numerators or top number number and multiply across the denominators or bottom numbers.

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8/3 can be converted into a mixed number by dividing the denominator of the fraction into the numerator of the fraction.

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2 years ago

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Archy [21]

Answer:

50.24 in.

Step-by-step explanation:

Radius of Big circle ( R ) = 2 + 3 = 5 in.

Radius of Small circle ( r ) = 2 in.

Area ( Shaded region )

= Area ( Big circle - Small circle )

= πR² - πr²

= π ( R² - r² )

= 3.14 ( 5² - 3² )

= 3.14 ( 25 - 9 )

= 3.14 × 16

= 50.24 in.

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2 years ago