All categories

2 years ago

Negative solution for Multi-step equations

Mathematics

1 answer:

nydimaria [60]2 years ago

3 0

Answer:

$\frac{1}{2}(4x+6)+3x=7x+9$

$\frac{1}{2}(4x+8)+3x=7x+9$

Step-by-step explanation:

By putting the numbers in the given equation,

$\frac{1}{2}(4x+6)+3x=7x+9$

2x + 3 + 3x = 7x + 9

5x + 3 = 7x + 9

(5x + 3) - 7x = (7x + 9) - 7x

(5x - 7x) + 3 = 9

-2x + 3 = 9

(-2x + 3) - 3 = 9 - 3

-2x = 6

$-\frac{2x}{2}=\frac{6}{2}$

-x = 3

x = -3

Therefore, our equation is correct which has a negative result.

In place of 6 if we use 8, value of x will be negative again.

You might be interested in

Angle r and 92 are supplementary angles. what equation can you use to solve for r?

Oxana [17]

Answer:

88°

Step-by-step explanation:

<h3>supplementary angle are angles that add up to 180°</h3>

r+92= 180

r= 180-92

r = 88°

5 0

1 year ago

What is the value of x in the equation below?

sveta [45]

Answer: C

Step-by-step explanation:

1+2e^x+1=9

2e^x+1=9-1

e^x+1= 8/2

e^x+1 = 4

Here we can applicate the Ln:

ln e^x+1 = ln 4

Applicating the log property for exponent:

(x+1).ln e = ln 4

Ln e = 1, so:

x+1 = ln 4

x = ln 4-1

7 0

2 years ago

How many numbers are equal to the sum of two odd, one-digit numbers?

Dennis_Churaev [7]

Answer:

Seven numbers.

Step-by-step explanation:

Finding the numbers, which are equal to the sum of two odd number and it has to be single digit number.

Lets look into numbers which are odd and single digit.

1 = $1+3, 1+5, 1+7, 1+9$

∴ Sum of the number is $4,6,8\ and\ 10$

3 = $3+5, 3+7, 3+9$

∴ Sum of above number is $8,10\ and\ 12$

5 = $5+7, 5+9$

∴ Sum of above number is $12\ and\ 14$

7= $7+9$

∴ Sum of above number is $16$

Now, accumlating numbers which are fullfiling the criteria, however, making sure no number should get repeated.

∴ Numbers are: $4,6,8,10,12,14\ and\ 16$

Hence, there are total 7 numbers, which are equal to the sum of two odd, one-digit numbers.

4 0

3 years ago

Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka - dot ribbon. Estimate how many yards of ribbon Kristin ha

AveGali [126]

Answer:

Step-by-step explanation:

Kristin has 3 2/3 yards of plaid ribbon. Converting 3 2/3 yards to improper fraction, it becomes 11/3 yards of plaid ribbon.

She has 2 5/6 yards of polka - dot ribbon. Converting 2 5/6 yards to improper fraction, it becomes 17/6 yards of polka - dot ribbon.

The total number of yards of ribbon that Kristin has would be

11/3 + 17/6 = (22 + 17)/6 = 39/6 yards of ribbon.

Converting to decimal, it becomes 6.5 yards of ribbon. Approximating 6.5 to the nearest yards, it becomes 7 yards. This is because the first digit after the decimal point is 5 and thus, can be rounded up

6 0

2 years ago

The letters in the word Mississippi are put into a bag. What’s the probability of randomly selecting a vowel from the bag ?

Zinaida [17]

4/11 is the correct answer.

3 0

2 years ago