how do you solve 2 - 2n = 3n + 17

Answers

Answer 1
First add 2n to 3n u get 5n
2=5n+17
Subtract 17 to both sides
-15=5n
Divide 5 both sides
N=-3
Answer 2

Final Answer: [tex]n = -3[/tex]

Steps/Reasons/Explanation:

Question: How do you solve [tex]2 - 2n = 3n + 17[/tex]?

Step 1: Subtract [tex]2[/tex] from both sides.

[tex]-2n = 3n + 17 - 2[/tex]

Step 2: Simplify [tex]3n + 17 - 2[/tex] to [tex]3n + 15[/tex].

[tex]-2n = 3n + 15[/tex]

Step 3: Subtract [tex]3n[/tex] from both sides.

[tex]-2n - 3n = 15[/tex]

Step 4: Simplify [tex]-2n - 3n[/tex] to [tex]-5n[/tex].

[tex]-5n = 15[/tex]

Step 5: Divide both sides by [tex]-5[/tex].

[tex]n = -\frac{15}{5}[/tex]

Step 6: Simplify [tex]-\frac{15}{5}[/tex] to [tex]-3[/tex].

[tex]n = -3[/tex]

~I hope I helped you :)~


Related Questions

how do you work out the percentage increase

Answers

divide original number with new number

what is the probability of drawing a 9 or diamond from a standard deck of cards?

Answers

Explanation:

In a standard deck of cards, there are 52 cards. They are broken down into suits (4 of them: Spades, Hearts, Diamonds, Clubs) of 13 cards each. Each suit has 13 ordinal cards (A, 2 through 10, Jack, Queen, King).

Here we're asked to draw a card at random and find the probability of drawing either a diamond or a 9.

With probability, we look at the fraction of ways we can achieve some condition (the numerator) over the number of ways we can do something (the denominator).

Our denominator here is 52 - the number of cards from which we can pull 1.

Our numerator is both all the diamonds, 13 cards, and all the nines, 4 cards, but we need to subtract 1 to account for the double counting of the 9 of diamonds.

In all we get:

13+4 - 1/52 =

≈  16/52

=4/13

Answer: 0.3077

Probabilities are used to determine how likely an event is, to happen. The probability of drawing a 9 or diamond is: 4/13

In a standard deck of cards, we have:

[tex]n = 52[/tex] --- There are 52 cards in total

[tex]n(9) = 4[/tex] ---- Cards with number 9 are 4

[tex]n(Diamond) =13[/tex] ---- there are 13 diamonds

[tex]n(9\ n\ Diamond) = 1[/tex] ---- Diamond cards with number 9

The probability of drawing a 9 or diamond is:

[tex]P(9\ or\ Diamond) = P(9) + P(Diamond) - P(9\ n\ Diamond)[/tex]

So, we have:

[tex]P(9\ or\ Diamond) = \frac{n(9)}{n} + \frac{P(Diamond)}{n} - \frac{n(9\ n\ Diamond)}{n}[/tex]

This gives:

[tex]P(9\ or\ Diamond) = \frac{4}{52} + \frac{13}{52} - \frac{1}{52}[/tex]

Take LCM

[tex]P(9\ or\ Diamond) = \frac{4+13-1}{52}[/tex]

[tex]P(9\ or\ Diamond) = \frac{16}{52}[/tex]

Simplify

[tex]P(9\ or\ Diamond) = \frac{4}{13}[/tex]

Hence, the probability of drawing a 9 or diamond is: 4/13

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Help please ill mark you brainliest if right :)

Answers

All real numbers greater than or equal to 0 is the answer.

In interval notation: [0, infinity)

How is a rate simile do different from a ratio?

Answers

Both rates and ratios are a comparison of two numbers. A rate is a specific type of ratio. The difference is that a rate is a comparison of two numbers with different units, and a ratio compares two numbers with the same unit.

An ordinary coin is thrown 50 times.
Barry says "I am going to get heads 25 times and tails 25 times."
Explain why he could be wrong.

Answers

He has a 50% chance of getting either one any time he throws the coin. Although unlikely, he could potentially throw the coin and get heads 100 times. Or he could get tails 100 times. Or any amount in between!

He could get  25 heads out of the 50 times but the percentage of happening that is very narrow.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

given, An ordinary coin is thrown 50 times. Barry says "I am going to get heads 25 times and tails 25 times."

To better understand Why he could be wrong we need to Understand the difference between Theoretical probability and Actual probability:

The theoretical probability of an occurrence indicates its propensity to occur. The theoretical probability of receiving heads is 1/2 since we know that flipping a coin has an equal chance of landing heads or tails. The frequency of an event actually occurring in an experiment is referred to as its experimental probability.

Because theoretical probability is based on models rather than reality, it isn't very helpful for determining probability in the actual world. Subjective probability is dependent on an individual's own assumptions and biases. It's the likelihood that an individual will encounter the result they are anticipating based on their prior experiences.

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Gold, jewelry, antique furniture, and other belongings are known as what?
Purchasing power
Needs
Assets
Wants

Answers

I belive it is assets

Last year's cost, c, of a water park season pass increased 35%. The expression C+0.35c can be used to represent the increased price of a season pass. What is another expression that can be used to find the the new cost of a season pass?

Answers

Answer:  1.35c

==========================================

Work Shown:

c+0.35c = 1c+0.35c = (1+0.35)c = 1.35c

We can think of the increase of 35% as equivalent to 135%, since 100% + 35% = 135%, then we can convert 135% to its decimal form getting 1.35

In other words, if you increase the price by 35%, then the new price is 135% of its old one

new price = 135% of old price

new price = 1.35*(old price)

A two-word phrase used to show division in a problem that starts with oc

Answers

Answer:

Out of

Step-by-step explanation:

A two-word phrase used to show division in a word problem.

Out of is a two-word phrase which is used to show division in a word problem.

Word problems in mathematics often use words such as divided by, per, average, split into, cut into, quotient of, ratio of to denote division (÷)

Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hours total per week. He wants to make at least 65 dollars. Write a system of inequalities to represent this situation.

Answers

Given:

Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.

He is only allowed to work 13 hours total per week.

He wants to make at least 65 dollars.

To find:

The system of inequalities to represent this situation.

Solution:

Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.

He is only allowed to work 13 hours total per week.  It means sum of x and y must be less than or equal to 13.

[tex]x+y\leq 13[/tex]

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

[tex]4x+7y\geq 65[/tex]

Number of hours can not be negative.

[tex]x\geq 0, y\geq 0[/tex].

Therefore, the required system of inequalities contains some equations,  [tex]x+y\leq 13,4x+7y\geq 65[/tex] and [tex]x, y\geq 0[/tex].

If AB = 19, BC = 16, and m

Answers

mmmmmmmmmmmmmmmmmmmm

someone help me please i need this fast

Answers

Answer:

B, A vertical translation of 2 units.

Step-by-step explanation:

Its going up which means its positive NOT negative, vertical is up and down. Please put me branliest if I'm right which I'm very sure I am. Hoped I helped!

which phrase is usually associated with addition​

Answers

The tots of two numbers, or you know the communitive property

is 5(2−3x) ÷ 6−x2/9 a...
a. coefficient
b.cube
c.factor
d.quotient

Answers

Answer:

D, a quotient.

Step-by-step explanation:

The sign ÷ indicates a quotient.

Answer:

D.

Step-by-step explanation:

You are dividing the two numbers which gives you a quotient

The mean mass of 5 boys is 62 kg. When the mass of a boy is excluded, the mean mass of the remaining 4 boys becomes 64 kg. Find the mass of the boy that has been excluded

Answers

Answer:

54 kg

Step-by-step explanation:

x - regular boy

y - special boy who's weight we're counting

The mean mass of 5 boys:

(4x+y)÷5=62

The mean mass of 4 boys:

4x÷4=64

x=64kg

the mass of y boy:

(4×64+y)÷5=62

(256+y)÷5=62 |×5

256+y=310

y=310-256

y=54

The price of an item yesterday was $140. Today, the price rose to $238. Find the percentage increase.
%

Answers

Answer:

216$

Step-by-step explanation:

Answer:

41.2%

Step-by-step explanation:

[tex]Percentage\ change = (\frac{Final\ Price\ - Initial\ Price}{Final\ Price})100\\\\Percentage\ change=(\frac{238-140}{238})100\\\\Percentage\ change=(\frac{98}{238})100\\\\Percentage\ change=(0.412)100\\Percentage\ change=41.2\\[/tex]

So the percentage increase was 41.2%

in a box there are three types of chocolates
there are 6 plain chocs
8 milk chocs
10 white chocs
ben takes at random a choc from the box
a) what is the probability that ben takes a plain choc ?

Answers

Answer:

25% , 6/24 , .25

Step-by-step explanation:

The total number of chocolates in the box are 24 and the number of plain chocolates is 6. 6/24 is .25 in decimal and 25% in percentage

Consider the following system of equations

-2x+5y=19
Y=-5/6x-1/6

Use this graph of the system to approximate its solution

A. (13/4,-5/2)

B. (-5/2,13/4)

C. (-13/4,5/2)

D.) (5/2,-13/4)

Answers

Answer:

C

Step-by-step explanation:

We have the system of equations:

[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]

And we want to use the graph to approximate the solution to the system.

Remember that, graphically, the solution to a system of equations is where the two graphs intersect.

We can see that the point at which the two lines intersect is in QII.

Hence, x is negative and y is positive.

The only choices that satisfies these conditions are B or C.

However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.

Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.

So, our final answer is C.

What is the value of x?
(5y + 10)
(3x + 7)º

Answers

Answer:

x = 21

Step-by-step explanation:

[tex](5 y + 10) \degree = y \degree + 90 \degree \\ (vertical \: \angle s) \\ \\ (5 y + 10 - y) \degree = 90 \degree \\ \\ (4 y + 10 ) \degree = 90 \degree \\ \\ 4y + 10 = 90 \\ \\ 4y = 90 - 10 \\ \\ 4y = 80 \\ \\ y = \frac{80}{4} \\ \\ y = 20 \\ \\ (5 y + 10) \degree = (5 \times 20 + 10) \degree = 110 \degree \\ \\ (5 y + 10) \degree + (3x + 7) \degree = 180 \degree \\ (linear \: pair \: \angle s) \\ \\ 110 \degree + (3x + 7) \degree = 180 \degree \\ \\ (3x + 7) \degree = 180 \degree - 110 \degree\\ \\ (3x + 7) \degree = 70 \degree \\ \\ 3x + 7 = 70 \\ \\ 3x = 70 - 7 \\ \\ 3x = 63 \\ \\ x = \frac{63}{3} \\ \\ x = 21[/tex]

The value of x and y are 21 and 20 degrees respectively.

What is linear pair?

Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

WE are given two adjacent angle (5y + 10) and (3x + 7)º

These angles make a linear pair so,

(5y + 10) + (3x + 7)º = 180

Also, we can see that angle Y and  (3x + 7)º lies on a straight line then;

y +  (3x + 7)º + 90 = 180

(3x + 7)º = 180 - 90 - y

(3x + 7)º = 90 -y

Now replace  (3x + 7)º by 90 - y in the first equation.

(5y + 10) + (3x + 7)º = 180

(5y + 10) + (90 - y )º = 180

Finally, simplify;

4y + 100 = 180

4y = 80

y = 20

Now, (3x + 7)º = 90 -y =90 - 20

(3x + 7)º =  70

3x = 70 - 7

3x = 63

x = 21

Hence, the value of x and y are 21 and 20 degrees respectively.

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Which number represents 50% of 74?
35
37
38
39

Answers

Answer: 37!!!

Step-by-step explanation:

1. 50% equals .5 in decimal form.

When converting a percentage to decimal, divide by 100 or move the decimal point to the left twice.

2. The word of means multiply so we multiply .5 by 74.

3. We get 37!

hope this helped, brainliest plsss :))))

I was the first one!

37! 7+7=14 and carry the one over so 3+3+1=7 so 50% of 74 is 37

6th grade math i mark as brainliest​

Answers

Answer:

There are 5 terms

Step-by-step explanation:

each number is its own term

Given g[x]=4-2[3-x] , what is the value of g[1]

Answers

Answer:

g(1)=0

Step-by-step explanation:

g(1)=4-2(3-1)

g(1)=4-2(2)

g(1)=4-4

g(1)=0



In the diagram, line A is parallel to line B. Which angles are congruent to angle 1?
(20 Points)
Select All that apply
angle 2
angle 3
angle 4
angle
angle 6
angle 7
angle 8

Answers

Answer:

angle 8

Step-by-step explanation:

Follow Me Please

Sam can clean the pool in 5 hours; his coworker Glenn can clean the same pool in 7 hours. One day Sam
started to clean the pool by himself and worked for an hour. Then Glenn joined him, and the finished
cleaning the pool. How long did it take them to finish cleaning the pool?

Answers

Answer:

23/12 hours or 1.9167 hours

Step-by-step explanation:

We are told that Sam can clean the pool in 5 hours. This implies 1:5

Also, his coworker Glenn can clean the same pool in 7 hours. This implies 1:7

Since it's the same pool, let's generate a workrate formula.

Thus;

(1/5)x + (1/7)x = 1

Where x is the amount of time used by both of them to clean 1 pool

Simplifying it, we multiply each term by 35 to get;

7x + 5x = 35

12x = 35

x = 35/12

We are now told that One day Sam

started to clean the pool by himself and worked for an hour.

Thus, remaining time after Sam worked 1 hour is; (35/12) - 1 = 23/12 hours

Thus, time they both used to finish cleaning the pool is 23/12 hours

can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)

Answers

This is not proportional because it does not go through the origin and if you were to draw a straight line it would not not go through all the points.
Hope this helps :)

Question 8
Calculate the difference (4x2 + x - 5) – (5x2 - 1).

Answers

Answer:

x - 6

Step-by-step explanation:

(4x2 + x - 5) - (5x2 - 1)

According to the order of operations, parenthesis come first so we will solve what is in the parenthesis first.

Then we do the multiplication because it comes before addition and subtraction.

4x2 = 8

Now we have 8 + x - 5

Combine like terms and 8-5=3 so we have 3 + x

Now for the second one.

5x2=10

10-1=9

Subtracting this from the first expression we have:

3+x-9 =

x - 6

Please hurry, best answer gets brainly

Answers

C = 30, B = 90

A + B + C = 180 <=>

A = 180 - B - C <=>

A = 180 - 90 - 30 <=>

A = 60

The contestant weighed in at 300 lbs last week. Their current weight is 285 lbs. What is
their percent of decrease?

Answers

Answer:

5%

Step-by-step explanation:

The contestant lost 15lbs. 10% of 300 is 30. Split both of those in half and 15 is 5% of 300.

Find the number that completes the following problem. 2
x8
192

Answers

Answer:

the second one X=3

the third X=4

Answer:

24 x 8 = 192

(3+5) + 2 = 2(3+2)

3^4 ( 3 with the exponent of 4

Step-by-step explanation:

192 divided by 8 is 24.

3 + 5 + 2 is 10 so just have to put 3 in the box so that equals 10

there is 4 threes so it’s 3 with the exponent of 4

Ben ,Cam and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben some spendsI chopping, c is the number of hours Cam spends chopping and j is the number of hours Justin spends chopping.

Answers

Answer:

26 trees

Step-by-step explanation:

Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?

Given:

b + 2c + 3j

Where,

b = number of hours Ben spends chopping

c = number of hours Cam spends chopping

j = number of hours Justin spends chopping

Substitute the below into the given expression

b = 8 hours

c = 3 hours

j = 4 hours

b + 2c + 3j

= 8 + 2(3) + 3(4)

= 8 + 6 + 12

= 26 trees

They chopped down 26 trees altogether

Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?

Answers

Answer:

$192

Step-by-step explanation:

That's all I

got

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