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3 years ago

3x + 5 = -x - 7 Equations with Rational Numbers

2 answers:

6 0

How to solve your question

3x + 5 = -x -7

Solve

1

Subtract 5 from both sides of the equation

3x + 5 = -x - 7

3x + 5-5 = -x -7-5

Simplify

O Subtract the numbers

Subtract the numbers

3x = -x - 12

Add x to both sides of the equation

3x = -x - 12

3x + x = -x 12+ x

Simplify

Combine like terms

o Combine like terms

4x = -12

Divide both sides of the equation by the same tem

4x = -12

4x 4 = -12 4

Simplify

O Cancel terms that are in both the numerator and

denominator

O Divide the numbers

X=-3

Solution

X=-3

Law Incorporation [45]3 years ago

3 0

Answer:

x = -3

Step-by-step explanation:

3x + 5 = -x - 7

add x to both sides

4x + 5 = - 7

subtract 5 from both sides

4x = - 12

divide 4 from both sides

x = -3

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Five times five eighths

DochEvi [55]

25/8, or 3 1/8 simplified :0 hope this helps!

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3 years ago

Read 2 more answers

How do I do 86+y=99 the picture that is attached to this is how the teacher wants us to do it but I don’t understand help please

Anni [7]

Okay, take for example:

1+2=3 is the same as 1=3-2

See how we changed the place of the 2. We can do that as long we change + to - and vica versa.

Let's see your example:

6+y=-8

We move the 6 on the other side of the expression with the opposite sign (it is a rule) and we get:

y=-8-6

y=-14

The answer to your question is

86+y=99

y=99-86

y=13

8 0

3 years ago

4x - 9 = 6 - X What is the answer please

vodka [1.7K]

collect the like terms

4x - 9 = 6-x

4x + x= 6+9

and then complete the equation

5x = 6 + 9

5x = 15

x = 15 ÷ 5

x = 3

4 0

3 years ago

Read 2 more answers

Select the 2 numbers that are between 0.15 and 1.4, 1.39 1.8 -0.13 -1.2 1.75

Sedaia [141]

Answer:

1.39 and -0.13

Step-by-step explanation:

6 0

3 years ago

3. Uniform A package delivery service breaks up its shipping charges into weight classes, where the package weights are uniforml

Tamiku [17]

Answer:

a) 50% of packages in this class would weigh less than 11 lbs.

b) 25% would weigh more than 11.5 lbs.

c) The average weight for a package in this class is 11 lbs.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

For this problem, we have that:

a. Suppose one of the shipping classes is 10 to 12 lbs. What proportion of packages in this class would weigh less than 11 lbs?

Uniform distribution from 10 lbs to 12 lbs, this means that $a = 10, b = 12$ .

The answer is $P(X \leq 11)$ .

$P(X \leq 11) = \frac{11 - 10}{12-10} = 0.5$

50% of packages in this class would weigh less than 11 lbs.

b. What proportion would weigh more than 11.5 lbs?

Either a package weighs 11.5 lbs or less, or it weighs more than 11.5 lbs. The sum of the probabilities of these events is decimal 1. So:

$P(X \leq 11.5) + P(X > 11.5) = 1$

$P(X > 11.5) = 1 - P(X \leq 11.5)$

$P(X > 11.5) = 1 - \frac{11.5-10}{12-10}$

$P(X > 11.5) = 0.25$

25% would weigh more than 11.5 lbs.

c. What would the average weight for a package in this class be?

The mean M of the uniform distribution is:

$M = \frac{a+b}{2}$

$M = \frac{10+12}{2} = 11$

The average weight for a package in this class is 11 lbs.

5 0

3 years ago