All categories

3 years ago

Solve the equation by combining like terms. Show all steps. 10w + 4w = -84

Mathematics

2 answers:

Illusion [34]3 years ago

6 0

Answer:

w = -6

Step-by-step explanation:

Like terms would be "terms" with the same variable. 5x and 4x would be like terms, because they have the same variable of x. 6y and 2x would not be like terms, because they have different variables (6y has the variable of y and 2x has the variable of x).

When combining like terms, we would add up the coefficients of the variables and then multiply that by the variable:

4x + 6x = (4 + 6)x = 10x

In other words:

ax + bx = (a + b)x

where x is any variable and a and b are constants.

We are given the equation:

10w + 4w = -84

and we have to solve the equation. To do this, we must first combine the like terms. And than we would try to get the equation into the for "w = _".

10w + 4w = -84

Combine the like terms 10w and 4w.

(10 + 4)w = -84

Simplify.

14w = -84

Divide both sides by 14 to get rid of the coefficient of 14 on the left side.

w = (-84) ÷ 14

Simplify.

w = -6

The solution would be w = -6.

I hope you find my answer helpful. :)

julia-pushkina [17]3 years ago

4 0

Answer:

14w=-84

divide by 14

w= -84/14

w=-6

You might be interested in

Identify the pattern for the following sequence. Find the next three terms in the sequence. -15, -11, -7,-3, a. Subtract 4; -7,

blondinia [14]

Option d is correct answer

8 0

3 years ago

25.75 dividido por 5

Inessa [10]

Creo que 5.15 ………………..

7 0

3 years ago

How many lines of symmetry does a hart appear to have

Verdich [7]

1 symmetry line on a heart , down the middle of the heart.

8 0

4 years ago

Subtract. Express your answer in lowest terms. 8 1/2 - 2 1/6

krok68 [10]

Answer:

6 1/3

Step-by-step explanation:

8 1/2 - 2 1/6

you need to get a common denominator of 6

1/2 * 3/3 = 3/6

8 3/6

-2 1/6

-----------

6 2/6

we can simplify 2/6 by dividing top and bottom by 2

6 2/6 = 6 1/3

8 0

3 years ago

Read 2 more answers

Suppose you just purchased a digital music player and have put 15 tracks on it. After listening to them you decide that you like

blsea [12.9K]

Answer:

Total songs = 15

Liked songs = 3

Un liked songs = 15-3=12

Find the probability that among the first two songs played

(a) You like both of them.

Probability that among the first two songs played you like both of them = $\frac{3}{15} \times \frac{2}{14} = 0.029$

(b) You like neither of them.

Probability that among the first two songs played you like neither of them = $\frac{12}{15} \times \frac{11}{14} = 0.629$

Probability that among the first two songs played you like exactly one of them = $\frac{3}{15} \times \frac{12}{14}+ \frac{12}{15} \times \frac{3}{14}= 0.343$

(d) Redo (a)-(c) if a song can be replayed before all

(a) You like both of them. Would this be unusual?

Probability that among the first two songs played you like both of them = $\frac{3}{15} \times \frac{3}{15} = 0.04$

(b) You like neither of them.

Probability that among the first two songs played you like neither of them = $\frac{12}{15} \times \frac{12}{15} = 0.64$

Probability that among the first two songs played you like exactly one of them = $\frac{3}{15} \times \frac{12}{15}+ \frac{12}{15} \times \frac{3}{15}= 0.32$

7 0

4 years ago