All categories

2 years ago

Solve the equation. 3(2w−7)=3

Mathematics

2 answers:

jarptica [38.1K]2 years ago

8 0

Answer:Simplifying

3(2w + -7) = 3

Reorder the terms:

3(-7 + 2w) = 3

(-7 * 3 + 2w * 3) = 3

(-21 + 6w) = 3

Solving

-21 + 6w = 3

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '21' to each side of the equation.

-21 + 21 + 6w = 3 + 21

Combine like terms: -21 + 21 = 0

0 + 6w = 3 + 21

6w = 3 + 21

Combine like terms: 3 + 21 = 24

6w = 24

Divide each side by '6'.

w = 4

Simplifying

w = 4

Step-by-step explanation:

KonstantinChe [14]2 years ago

8 0

AnswerAnswerAnswerAnswerAnswerAnswerAnswer

:) ·g o o d l u c k ·

You might be interested in

32% as a fraction in lowest terms

TiliK225 [7]

32% means 32/100

32/100 = 16/50 = 8/25, which is the lowest you can get because you can no longer divide it to get a whole number.

A; 8/25.

3 0

2 years ago

Can someone plz help me with this one problem!!!

blagie [28]

Answer:

yes

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i

Anit [1.1K]

Answer:

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The $n^{th}$ term of geometric sequence is given by:

$a_n = ar^{n-1}$

$a_4 = 16 = ar^3\\a_6 = 4 = ar^5$

Dividing the two equations, we get,

$\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}$

the first term can be calculated as:

$16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128$

Thus, the required geometric sequence is

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

4 0

3 years ago

Which expression is equivalent to ^

mash [69]

Answer:

Step-by-step explanation:

lets break down 120 to see what it is divisible by and see if any of those numbers are perfect squares.

120/2=60

120/3=40

120/4=30

we can stop there because 4 is a perfect square and 30 can not be reduced any further to produce a perfect square.

do not forget there is only one x so it must stay in side the radical.

your answer is 2sqrt(30x)

5 0

2 years ago

the dog needs a 1/3 of a cup of dog food each day. the bag holds 5 cups of dog food how many days will it last ?

sleet_krkn [62]

Answer:

15 days

Step-by-step explanation:

You have 5 cups of food, and you give him 1/3 a day.

So, <em>5 divided by 1/3</em>, which would get you 15 days. Or you could cross-multiply, meaning you multiply across, but in this case I just made them line up so you can see how to do it. $(food)/(cupsperday) = 5/\frac{1}{3} \\OR\\\frac{(food)}{1}*(cupsperday) = \frac{5}{1} *\frac{3}{1}$

7 0

2 years ago