5x – 4 = x - 16
solve the equation

Answers

Answer 1
Answer:

Answer:

x = - 3

Step-by-step explanation:

Given

5x - 4 = x - 16 ( subtract x from both sides )

4x - 4 = - 16 ( add 4 to both sides )

4x = - 12 ( divide both sides by 4 )

x = - 3

Answer 2
Answer:

Answer:

\huge{ \fbox{ \sf{x = -3}}}

Step-by-step explanation:

\star{ \sf{ \: 5x - 4 = x - 16}}

\text{Step \: 1 \:  :  \sf{ \: Move \: x \: to \: left \: hand \: side \: and \: change \: its \: sign.}}

\hookrightarrow{ \sf{5x - x - 4 =  - 16}}

\text{Step \: 2 \:  :  \sf{ \: Move \: 4 \: to \: right \: hand \: side \: and \: change \: its \: sign.}}

\hookrightarrow{ \sf{  5x - x =  - 16 + 4}}

\text{Step \: 3 \:  :  \sf{Collect \: like \: terms}}

\hookrightarrow{ \sf{ 4x =  - 16 + 4}}

\text{Step \: 4 \:  :  \sf{Calculate}}

\text{ \underline{Remember! : }} \sf{ \: The \: \:  negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}

\hookrightarrow{ \sf{ 4x =  - 12}}

\text{Step \: 4 \:  : Divide \: both \: sides \: by \:  - 6}

\hookrightarrow{ \sf{ ( 4x)/( 4)  =  ( - 12)/( 4)}}

\text{Step \: 5 \:  : Calculate}

\hookrightarrow{ \sf{x = -3}}

The value of x is -3.

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}


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GEOMETRY HELP PLEASE, ITS URGENT

I sell cookies for $3 and muffins for $7. Yesterday, I made $129. I sold a total of 27 items. How many of each did I sell?

Answers

You sold 15 cookies and 12 muffins.

c - cookies
m - muffins

c + m = 27

3c + 7m = 129

I don’t know how to explain how to do efficiently but I just plugged in numbers until it worked:

3(15) + 7(12) = 129

45 + 84 = 129

Answer:

You sold 15 cookies and 12 muffins

Step-by-step explanation:

So you're given that 1 cookie is sold for $3 and 1 muffin is sold for $7

You're also given that in total you made $129, and sold 27 items

Let's make equations from that, letting c stand for amount of cookies and m for amount of muffins.

  • 3c + 7m = 129 (equation for amount of money made)
  • c + m = 27 (equation for amount of items sold)

Now we can use the second equation to find m:

c + m = 27

m = 27 - c

Not we can substitute m into the first equation to find c:

3c + 7m = 129                  

3c + 7(27-c) = 129            [substitute m for (27-c)]

3c + 189 -7c = 129           [distribute 7 into (27-c)]

-4c + 189 = 129                [combine like terms]

-4c = -60                          [subtract 189 from both sides]

c = 15                               [divide both sides by -4]

Now we can substitute c into the second equation to find m:

c + m = 27

15 + m = 27

m = 12

Please solve this. Thank you! 63 points

Answers

Answer:

1. If you have good credit history or score you will have low-interest rates on credit cards and loans which means whenever you loan money you pay lower finance charges for loans. If you have a good credit score you also may get to loan more money than a person with a relatively low credit score. Loans and applying for credit cards may also be easier because you have a higher credit score.

2. I think that there can be 2 or more items that may hinder a person's chances of getting approved for a loan an example would be if someone has a bad credit history. This may hinder someone's chances of getting a boat because if someone had a bad history of spending lots of money and they are in debt and their loans are overdue they may not get the money to loan the boat. The other item that may hinder your chances of getting a loan for a boat is public records. If you have a bad history with the police that is obviously a red flag for them and they may not want someone who has trouble with the police.

3. I think that the factor represented by 35% on the graph is paying on time. I think this is the main factor because they want to see how much they can rely on you and if you pay your loans on time they will see you as a responsible person and will further improve your credit score. If you don't pay on time they may think your lazy and cannot be trusted to take care of the money so they lower your credit score further lowering your amount to loan.

4. I think that the factor represented by 30% is the amount you owe. I think that the amount you owe is similar to how you pay on time. This is because the amount you owe can see how responsible you are with money and if you can pay that amount back. I think that since how you pay on time affects how long you take and how much you pay it has more of an effect on your credit score.

and btw if it is bad it's because i'm a middle schooler

Step-by-step explanation:

Monica’s school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes.Let x represent the number of quick washes and let y represent the number of premium washes. Which system of linear equations represents the situation?
5x + 8y = 775 and x + y =125
5x – 8y = 125 and x + y = 775
5x + 8y = 775 and x – y = 125
5x – 8y = 125 and x – y = 775

Answers

Let x represent the number of quick washes and let y represent the number of premium washes.

1. One quick wash costs $5, then x quick washes cost $5x.

One premium wash cost $8, then y premium washes cost $8y.

They made $775 from a combination of quick and premium washes, then in total they made $(5x+8y) that is $775. The first equation is

5x+8y=775.

2. They had washed 125 cars, x cars by quick wash and y cars by premium wash, that is x+y in total. Then tha second equation is

x+y=125.

Only option A represents the situation.

Given:
quick washes = x ; $5
premium washes = y ; $8

x + y = 125
5x + 8y = 775

Correct answer is the 1st option.

x = 125 - y
5(125 - y) + 8y = 775
625 - 5y + 8y = 775
3y = 775 - 625
3y = 150
y = 150/3
y = 50 number of premium washes

x = 125 - 50
x = 75 number of quick washes

What is one extensive and one intensive property of marker ink?

Answers

One extensive property of marker ink is volume, whereas one intensive property of marker ink is color. 

A triangle has sides measuring 15 15 and 15sqrt2 what are the angle measures of the triangle

Answers

We observe that we are in the presence of a rectangular triangle.
 Therefore, we have:
 An angle of 90 degrees.
 An angle that is given by:
 sine (x) = (15 / (15 * root (2)))
 sine (x) = (1 / root (2))
 x = asine (1 / root (2))
 x = 45 degrees
 And an angle that is given by:
 180-90-45 = 45 degrees
 Answer:
 The angle measures of the triangle are:
 90-45-45 degrees

Find the 4th term of (x+2)^10

Answers

(x + 2)¹⁰

Would take the terms in reducing powers of x, and increasing powers of 2.


1st term =        ¹⁰C₀ x¹⁰(2)⁰        = x¹⁰

Second term =  ¹⁰C₁ x¹⁰⁻¹(2)¹      =  ¹⁰C₁ x⁹(2)¹

Third term =    ¹⁰C₂ x¹⁰⁻²(2)²        =  ¹⁰C₂ x⁸(2)² 

Fourth term =  ¹⁰C₃ x¹⁰⁻³(2)³        =  ¹⁰C₃ x⁷(2)³


So we shall now simplify the fourth term which is = ¹⁰C₃ x⁷(2)³

ⁿCr = n! /( r!(n -r)! )

¹⁰C₃ = 10! /( 3!(10 -3)! ) = 10! / (3!*7!) =  (10 *9 * 8* 7!) / (3!*7!)

        =     10*9*8 / 3! = (10*9*8) / (3*2*1) = 120  


4th term = ¹⁰C₃ x⁷(2)³ = 120 *x⁷*(2)³ = 120*2³*x⁷

             = 120*8x⁷

             = 960x⁷

So the fourth term in reducing powers of x = 960x⁷

I hope this helped.