How to solve equations

Answers

Answer 1
1) Open up any parentheses if there are any
2) Combine like terms (moving the variable to one side and other numbers to the other)
3) solve using pemdas/bedmas and any additional steps you need to isolate the variable
4) if x turns out negative, invert the sign

Example:
2x+5=3(x+1)
Open up the parentheses by multiplying it by 3
2x+5=3x+3
Combine like terms
2x-3x=3-5
-x=-2
x=2

I hope this helps!

Related Questions

Can some fill this out for me please!!!

Answers

Answer:

Q2

a) 8 + - 8 = 0

b) -20 + 20 = 0

c) a+ - a = 0

Q3

3) Identity property

Answer:

1) 8 + - 8 = 0

2) -20 + 20 = 0

3) a+ - a = 0

Q3

3) Identity property

Step-by-step explanation:

Elaine wants to buy a couch for $899.99 if she pays $69.75 in sales tax what is the sales tax percent explain steps

Answers

Answer:

the sales tax percent is therefore: 7.75%

Step-by-step explanation:

The sales tax she paid is $69.75, for a sofa whose sale price is $899.99.

Since $69.75 is the unknown (x) percent of $899.99, then we write this statement in math terms as:

69.75 = x * 899.99

solving for x we get:

x = 69.75 / 899.99

x = 0.0775

this is the decimal form of the percent, and in order to write it as percent, we multiply it by 100:

the sales tax percent is therefore: 7.75%

Sarah is currently making $31,000 a year at her job and has been offered a raise to $33,170 per year. What would be the percent increase in her salary?

Answers

Answer:

  7%

Step-by-step explanation:

The percentage increase is found as ...

  increase/original × 100%

  = (33170 -31000)/31000 × 100%

  = 2170/31000 × 100% = 7%

Sarah's increase would be 7%.

y = 4[x - (3 - x)] - 7(x + 1)

Answers

Answer:

The answer is x - 19.

Hope it helps

I NEED THIS DONE SOON Find the solution set if the replacement set is b = {3, 3.5, 4, 4.5, 5} 28/b+9 = 16

Answers

I think the answer is b=4

Jamie has a half-sheet cake. If she has six friends, how much will each one get?
A. 1/4
B. 1/12
C. 1/3
D. 1/6

Answers

Answer:

The answer is B. 1/12

Step-by-step explanation:

step one:

From the problem state, we can actually conclude that Jamie wants to share the half sheet of cake among her 6 friends

step two:

we can express this problem mathematically as

[tex]=\frac{1}{\frac{2}{6} }[/tex]

we can inverse the denominator and use a multiplication sign instead

[tex]\\\\= \frac{1}{2}*\frac{1}{6}[/tex]

multiplying both denominators we have

[tex]\\\\= \frac{1}{12}[/tex]

The answer is B 1/12

1) 16 is 45% of what Number
2) 5 is what percent of 18 ?
my teacher gave us the answer but can you show how you did it the Cross multiply method thank you

Answers

Answer:

i solved it .I hope you got it too

plz mark brainliest.

-3 is less than or equal to W and W is less than or equal to 4

Answers

Answer:

-3 ≤ W ≤ 4

I hope this helps!

Simplify 7x + x +2 help plssss I’m begging u rawrrr

Answers

Answer:

8x+2

Step-by-step explanation:

Answer:

[tex] \huge{ \fbox{ \sf{8x + 2}}}[/tex]

Step-by-step explanation:

[tex] \underline{ \underline{ \mathfrak{lets \: solve}}} : [/tex]

[tex] \star{ \: \sf{ \: 7x + x + 2}}[/tex]

[tex] \text{ Step \: 1} : \sf{ \: Add \: the \: like \: terms : 7x \: and \: x}[/tex]

[tex] \sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]

[tex] \hookrightarrow{ \sf{8x + 2}}[/tex]

Hope I helped!

Best regards!:D

~[tex] \sf{TheAnimeGirl}[/tex]

please help me with math

Answers

Hey there! I'm happy to help!

A proportional relationship is a straight line that passes through the origin, which is (0,0). If you look at Graph 3, it looks like the line is straight, but it does not look like it will pass through (0,0). Therefore, Graph 3 does not show a proportional relationship.

Graph 4, however, does look like straight line and it does look like it will pass through (0,0). Therefore, Graph 4 does show a proportional relationship.

Have a wonderful day! :D

Answer:

4)

Step-by-step explanation:

3)

this relationship isn't a proprtional relationship since it does't pass through (0,0)

')

this relationship is a proportional relation since it is a straight line that passes through (0,0)

7. A sixth-grade class has 12 boys and 8 girls.
The teacher wants to divide them into
groups that have the same number of boys
and the same number of girls. What is the
greatest possible number of groups the
teacher can make?
A. 4 groups
C. 6 groups
D. 2 groups
B. 8 groups

Answers

The answer is 4 because you can have 4 girls in one and 4 in the other

What is the 74th term of this arithmetic sequence?
-25, -21, -17, -13,-9, -5,...

Answers

Answer:

267

Step-by-step explanation:

let's say that

f(0)=-25

so in the sequence we are adding 4

so f(1)=-25+4=-21

and f(2)=f(1)+4=-25+4+4=-25 + 4(2)

so if you continue you will notice that

f(n)=-25+4(n)

so our question is

What is the 74th term of this arithmetic sequence?

so if f(0) is our first term, the 74th will be f(73)

so we can apply our formula

f(73)=-25+4(73)

=-25+292

=267

evaluate -12 + 5= PLEASE HELP IF YOU KNOW THE ANSWER PLEASE SHOW WORK!? THANK YOU!

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-12+5=-7

this is similar to having a debt of $12 when you pay $5 when you pay $5 you are left with a debt of $7 so the answer is -7

Which statements are true about polygons? Select three options. All sides and all angles in a polygon are congruent. The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint. In a polygon, all segments with a common endpoint are collinear. If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon. The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.

Answers

Answer:

B, D, E

Step-by-step explanation:

Just took test :D

A polygon refers to a flat or two-dimensional shape which is closed and has straight sides. A polygon doesn't curved sides.

From the options given, the true statements about polygons include:

• The sides of a polygon are segments that intersect exactly two other segments, one at each endpoint.

• If all of the sides of a convex polygon are extended, none of them will contain any points that are inside the polygon.

• The extension of at least one side or diagonal in a concave polygon will contain a point that is inside the polygon.

Therefore, the correct options are B, D and E.

You can read more on polygon here:

https://brainly.com/question/20863477

Which expression would represent the cost of one CD, if the total cost for three of them is $36?
36-3
3(36)
36/3
3 + 36

Answers

Given that:

Total cost for three CD = $36

Number of CD = 3

To find:

The expression that will represent the cost of one CD.

Solution:

We know that formula, to find the cost of each unit.

[tex]\text{Cost of each unit }=\dfrac{\text{Total cost}}{\text{Number of units}}[/tex]

Using this formula, we get

[tex]\text{Cost of each CD}=\dfrac{\text{Total cost for three CD}}{\text{Number of CDs}}[/tex]

[tex]\text{Cost of each CD}=\dfrac{36}{3}[/tex]

The required expression for cost of one CD is [tex]\dfrac{36}{3}[/tex].

Therefore, the correct option is C.

Answer

its 36/3

Step-by-step explanation:

On what percent of days did it actually​ rain? 24.9​% ​(Round to one decimal place as​ needed.) ​b) On what percent of days was rain​ predicted? nothing​% ​(Round to one decimal place as​ needed.) ​c) What percent of the time was the forecast​ correct? nothing​% ​(Round to one decimal place as​ needed.)

Answers

This question is incomplete, the complete question is;

Just how accurate are the weather forecasts we hear everyday? The table compares the daily forecast with a city's actual weather for a year.

FORECAST                     ACTUAL      

Forcast                           Rain             No Rain

Rain                                28                    63

No Rain                           7                     267

a) On what percent of days did it actually​ rain? 24.9​% ​(Round to one decimal place as​ needed.) ​

b) On what percent of days was rain​ predicted? nothing​% ​(Round to one decimal place as​ needed.) ​

c) What percent of the time was the forecast​ correct? nothing​% ​(Round to one decimal place as​ needed.)

Answer:

a) the percentage of days it actually rained =  9.6%

b) percentage of days rain was predicted =  24.9%

c) percentage of days forecast was correct =  80.8%

Step-by-step explanation:

First we get the total number of days;

28 + 63 + 7 + 267 = 365 days

a)

days it actually rained = ( 28 + 7 ) = 35

now the percentage of days it actually rained

35/365 × 100 = 9.58% ≈ 9.6%

b)

days rain was predicted = ( 28 + 63 ) = 91

now percentage of days rain was predicted

91/365 × 100 = 24.93% ≈ 24.9%

c)

days forecast was correct =  ( 28 + 267 ) = 295

now percentage of days forecast was correct

295/365 × 100 = 80.82% ≈ 80.8%

How do you do this question?

Answers

Answer:

p > 0

Step-by-step explanation:

∫₂°° e^(-px) dx

= ∫₂°° (e⁻ᵖ)ˣ dx

This is a geometric series.

A geometric series a(r)ˣ converges if -1 < r < 1.

-1 < e⁻ᵖ < 1

Since e⁻ᵖ is always positive:

e⁻ᵖ < 1

-p < 0

p > 0

You divide a number by 3 add 6 then subtract 7. The result is 4 what is the number?

Answers

Hey there! I'm happy to help!

Let's call our number n. Here is the info we have.

(n/3)+6-7=4

We combine like terms.

(n/3)-1=4

We add 1 to both sides.

n/3=5

We multiply both sides by 3.

n=15.

Have a wonderful day! :D

7p = 644 solve for the variable

Answers

Answer:

p=92.

Step-by-step explanation:

7p=644

/7     /7   -----> divide by 7 on both sides

_______

p=92

Hope this helps!

Answer:

Divide both sides of the equation by 7

The variable is 92

Step-by-step explanation:

Nicholas volunteers at a local soup kitchen and he notices how quickly the kitchen is going through its stock of canned goods. Below is the graph representing the data Nicholas found. Find the slope and y-intercept of the line.​

Answers

Answer:

m=-63 b=825

Step-by-step explanation:

To get m, make sure you use rise over run. y2-y1 over x2-x1

Answer:

m (slope) = -63

b (y-intercept) = 825

Step-by-step explanation:

I had the same question.  

Ivan has $8.75 in nickels and quarters in his desk drawer. The number of nickels is twice the number of quarters. How many coins of each type does he have?

Answers

Answer:

25 quarters50 nickels

Step-by-step explanation:

Since there are 2 nickels for every quarter, we can group the coins into groups consisting of 1 quarter and 2 nickels. Such a group will be worth 35 cents. So, the number of groups in $8.75 is ...

  $8.75/$0.35 = 25

25 groups of coins will have ...

  25 quarters

  50 nickels


Use a scale of 2km to 1cm to find the length of a road
15km.
A. 6.0CM
B. 6.5CM
C. 7.0CM
D. 7.5CM
Question 14 of 60
Calculate the distance covered by running round a
circular field of radius 3.5cm​

Answers

First Question:Given:

2 km = 1 cm

To Find:

The length of the road of 15 km.

Solution:

2 km = 1 cm

1 km = 1/2 = 0.5 cm

15 km = 0.5 × 15 = 7.5

Answer:

The length of the road is 7.5 cm.

Therefore, Option D. 7.5 cm is correct.

If 6 more than the product of a number and - 2 is greater than 10, which of the following could be that number?

Answers

Answer:

-2x + 6 > 10

Step-by-step explanation:

Let the unknown number be x

the product of x and -2 is -2x

6 more than -2x is written as

-2x + 6

if the result of the above is greater than 10, then

-2x + 6 > 10

It is worth 50 points so please help

Answers

Answer:

12 inches is the maximum length for each cloth because 60,48 and 72 are all multiples of 12.

you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.

Step-by-step explanation:

Answer:

12 inches is the maximum length for each cloth because 60,48 and 72 are all multiples of 12.

you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.

Step-by-step explanation:

Question 4 of 10
What is the solution to this equation?
-8x + 4 = 36
A. X = -5
B. X= -4
C. X = 5
D. x = 4
SUBMIT

Answers

Answer:

The answer is B, -4

Step-by-step explanation:

Subtract 4 on both sides

[tex]-8x=32\\[/tex]

Divide both sides by -8

[tex]x=-4[/tex]

Answer: x=-4
-8=32
=-4

A wild animal generally stays at least x mi from the edge of a forest. For a rectangular forest preserve that is 2 mi
long and 5 mi wide, write a polynomial that represents the area of the available habitat for the wild animal.
(Note: diagram not drawn to scale)

Answers

Answer:

[tex]Area = 4x^2 - 14x + 10[/tex]

Step-by-step explanation:

See Attachment for Complete Question

Given

[tex]Width = 5mi[/tex] --- For the forest

[tex]Length = 2mi[/tex] -- --- For the forest

Required

Determine the area of the habitat

Since the distance between the animal's habitat is x mi on both sides;

The length and width of the habitat is:

[tex]Width = 5 - (x + x)[/tex]

[tex]Width = 5 - 2x[/tex]

[tex]Height = 2 - (x +x)[/tex]

[tex]Height = 2 - 2x[/tex]

The area is then calculated as follows;

[tex]Area = Width * Height[/tex]

[tex]Area = (5 - 2x) * (2 - 2x)[/tex]

Expand

[tex]Area = 5(2 - 2x) -2x(2 - 2x)[/tex]

Open Brackets

[tex]Area = 10 - 10x - 4x + 4x^2[/tex]

[tex]Area = 10 - 14x + 4x^2[/tex]

Reorder

[tex]Area = 4x^2 - 14x + 10[/tex]

Hence; the required polynomial for the habitat area is:

[tex]Area = 4x^2 - 14x + 10[/tex]

Multiply (−7)(2)(−2). −28 −14 28 14

Answers

Answer:

43,025,92

Step-by-step explanation:

Answer:

The answer to this question is 28 because -7 times 2 equals 14 times -2 equals 28

Solve the equation 3x+5=20

Answers

Answer:

x = 5

Step-by-step explanation:

Let's simplify this by subtracting 5 from both sides:

3x = 15

Isolate x by dividing both sides by 3:

x = 5

Let A be the set of all integers which are 3 more than some perfect square. Here are some examples of such integers are: 4 = 1 + 3, 7 = 4 + 3, 3 = 0 + 3, 28 = 25 + 3, Write out the set A as succinctly as you can, using the set-builder notation.

Answers

Answer:

[tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]

Step-by-step explanation:

Required

Represent set A using set-builder notation

First, we need to understand the general rule:

[tex]0^2 + 3 = 0 + 3 = 3[/tex]

[tex]1^2 + 3 = 1 + 3 = 4[/tex]

[tex]2^2 + 3 = 4 + 3 = 7[/tex]

[tex]5^2 + 3= 25 + 3 = 28[/tex]

-----

--

--

In general, we can write it as:

[tex]n^2 + 3[/tex]

Next, is to determine the values of n;

Since [tex]n^2[/tex] is a perfect square of [tex]n[/tex], then, the values of n is 0,1,2,3,.....

Hence; Set A can be represented as: [tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]

what is the value of x? 42 45 3 15

Answers

Answer:

125 is the value of the question

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