MATHEMATICS HIGH SCHOOL

Solving equations. find value of m2m - 1/2 = m/7 + m/2

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solving equations. find value of m 2m - 1/2 = - 1

Answers

Answer 1
Answer: 2m-\frac { 1 }{ 2 } =\frac { m }{ 7 } +\frac { m }{ 2 } \n \n \frac { 1 }{ m } \left( 2m-\frac { 1 }{ 2 } \right) =\frac { 1 }{ m } \left( \frac { m }{ 7 } +\frac { m }{ 2 } \right)

\n \n \frac { 2m }{ m } -\frac { 1 }{ 2m } =\frac { m }{ 7m } +\frac { m }{ 2m } \n \n 2-\frac { 1 }{ 2m } =\frac { 1 }{ 7 } +\frac { 1 }{ 2 } \n \n 2-\frac { 1 }{ 7 } -\frac { 1 }{ 2 } =\frac { 1 }{ 2m }

\n \n \frac { 28 }{ 14 } -\frac { 2 }{ 14 } -\frac { 7 }{ 14 } =\frac { 1 }{ 2m } \n \n \frac { 19 }{ 14 } =\frac { 1 }{ 2m } \n \n { \left( 2m \right) }^( -1 )={ \left( \frac { 14 }{ 19 } \right) }^( -1 )

\n \n 2m=\frac { 14 }{ 19 } \n \n \frac { 1 }{ 2 } \cdot 2m=\frac { 14 }{ 19 } \cdot \frac { 1 }{ 2 } \n \n m=\frac { 14 }{ 38 } =\frac { 7 }{ 19 }

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Amanda’s dad is twice as old as she is today. The sum of their ages is 66. Find the ages of Amanda and her dad.

Answers

Let amanda's age be x and her dad's age be y.

Amanda’s dad is twice as old as she,  therefore 2x=y

The sum of their ages is 66, therefore x+y=66

x+y=66

2x=y,

substitute.

2x+x=66

3x=66

Divide.

x=22.

plug it back in, 22+y=66, y=44.

Amanda's age is 22 and her dad's age is 44.

The solutions to the equation 2x^2 + x - 1 = 2 are x = -3/2 or x = _______.

Answers

Answer:

The remaining solution to the equation is x = 1

Step-by-step explanation:

2x^2 + x - 1 = 2

First set the equation to zero by subtracting 2 from each side:

2x^2 + x - 1 - 2 = 2 - 2

2x^2 + x - 3 = 0

Factor the left side of the equation:

2x^2 + x - 3 = 0

(2x + 3)(x - 1) = 0

Now set each factor to zero and solve:

2x+ 3 = 0

2x+ 3 - 3  = 0 - 3

2x= -3

2x/2= -3/2

x= -3/2 (The given expression)

x - 1 = 0

x - 1 + 1 = 0 + 1

x = 1

Since we already knew x = -3/2, the missing solution is x = 1.

Simplify 7N - 2N + 3P +2P

Answers

7n-2n+3p+2p
5n+5p (combine like terms)

the answer is 5n+5p
Combine like terms.
7N-2N=5N
3P+2P=5P
5N+5N

Pleaseeeee Helpppppp me

Answers

I will think it will be ANSWER - TWO

What value of x will satisfy the equation 0.2(x −2,700) = x?

Answers

x = -675
I hope this helps! :)
Solve for x, distibutive 0.2:0.2x - 540
Subtract 0.2x to each side: -540 = x - 0.2x
Combine x: -540 = 0.8x
Divide 0.8 to each side: x = -540/0.8 = -675

12.28 as a mixed number

Answers

12.28 is equal to 12 + 0.28. Since 0.28 is read as "twenty-eight hundredths", that's exactly how we write it in fractions: 28/100. Next, we need to simplify the fraction into its simplest form by looking for number that can be divided to both numerator and denominator. Hence, we have 12.28 = 12 + 28/100 = 12 + 7/25 = 12 7/25. Answer is 12 7/25.

Answer: 12 7/25

Just got this on khan and this was the right answer!
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