Colby has $100. He buys five CD's that cost x dollars each, and then he buys
three DVD's for y dollars each. Write an algebraic expression for the amount
of money he has remaining (in terms of x and y).

Consecutive odd numbers are two apart (5, 7, 9, 11...). So given an odd integer, we can add 2 to get the next odd integer.

If the first odd integer is y, then the first 4 odd integers are

y

y+2

y+4

y+6

These add up to 4y+12

The sum of the first four classroom numbers in a row is 4y+12.

It is required to find the sum of the first four classroom numbers in a row.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Since the smallest classroom​ number on the side of the building is numbered y ​ and each consecutive even integers is separated by a difference of  2.

∴

y is the first class room.

y +  2  is the second class room.

y +  4  is the third class room.

y + 6 is the third class room.

The sum of the five consecutive class rooms are given as:

y + (y + 2) + (y+ 4) + (y + 6)

collecting alike terms we get

= y + y+ y+ y + 2 + 4 + 6

= 4y + 12

Therefore, the sum of the first four classroom numbers in a row is 4y+12.

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Answer:

b+t < 12 (< has a line under it)

Step-by-step explanation:

Liz can work at most 12 hours per week. So, add the number of hours she spends babysitting, b, and the number of hours she spends tutoring, t, in a week, and represent the sum as less than or equal to 12:

b + t < 12

Also I just got done doing this problem my self

Answer:

Congruent

Step-by-step explanation:

For the shapes to have the same size, and shape.

Answer: Uhhhhh no question...

Step-by-step explanation:

Answer:

heheheeheh

Step-by-step explanation:

Answer:

x=18

Step-by-step explanation:

(6x+3)+(3x+15)=180

(6x+3x)+(3+15)=180

9x+18=180

    -18  -18

9x=162

162/9

x=18

Answer:

F= 6x²-x+7+ 5/x

Step-by-step explanation:

Divide each term by x and simplify it.

Hope this helps.

Answer:

Step-by-step explanation:

Step-by-step explanation:

[tex]\angle L\\

\angle GLJ\\

\angle JLG\\

\angle 2[/tex]

Answer:

<L

 <GLJ

< JLG

 <2

Step-by-step explanation:

There are 4 different ways to name this angle

By the vertex  <L

With the sides and vertex  ( vertex in the middle)  <GLJ or < JLG

or by the number in the middle  <2

Answer:

18 cups of sugar

Step-by-step explanation:

Step 1:

120 ÷  6 = 20

Step 2:

360 ÷ 20

Answer:

18

Hope This Helps :)

Answer:

the answer to your question is 18 brownies

Step-by-step explanation:

lets say the number of cups of sugar used to make 360 brownies is x

6 = 120

x = 360

cross multiply

120x = 2160

x = 2160/120

x = 18

The variable expression c/2 represents the quotient of c and 2, where c can be any numerical value or variable.

To write "the quotient of c and 2" as a variable expression, we can use the division operation to represent the quotient.

The variable expression would be:

c/2

c represents the variable, and dividing c by 2 gives us the quotient of c and 2.

Let's break it down further to understand this expression in more detail:

The term "quotient" refers to the result of dividing one quantity by another.

We are interested in the quotient of c and 2.

The variable c represents an unknown value or a variable that can take on different numerical values.

The number 2 is the divisor or the quantity by which we divide c to find the quotient.

By using the division operator (/), we can create a variable expression that represents the quotient of c and 2.

We evaluate this expression by substituting specific values for c, we will obtain the result of dividing c by 2.

If we let c = 10, then the expression c/2 would evaluate to 10/2, which equals 5.

If c = 6, the expression c/2 would evaluate to 6/2, which equals 3.

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Given :

A number [tex]12\dfrac{1}{4}=\dfrac{49}{4}[/tex] .

To Find :

What is the sum of 12 1/4 and it’s additive inverse .

Solution :

Fist we should know what is additive inverse .

Additive inverse of a number is that number , when added to it yield zero ,

Basically , for a real number , it reverses its sign :

The opposite to a positive is negative .

The opposite to a negative is positive .

Therefore , the sum of [tex]12\dfrac{1}{4}[/tex] and it's additive inverse is 0 .

Hence , this is the required solution .

Answer:

x=4

Step-by-step explanation:

-(7-4x)=9

-7+4x=9

4x=16

x=4

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]-(7-4x)=9[/tex]

Let's divide both sides by -1. This cancels out the negative on the left:

[tex]7-4x=-9[/tex]

Subtract 7 from both sides. The left cancels:

[tex]-4x=-16[/tex]

Divide both sides by -4. All the negatives will cancel:

[tex]x=4[/tex]

And we're done!

Answer:

Equivalent is when two things contain the same total value. For example, you could give two 5 dollar bills instead of one 10 dollar bill and they would be equivalent as they would both total to be 10 dollars.

Step-by-step explanation:

$10 = 2 * x

$10/2 = $5

x = $5

Step-by-step explanation:

(3x+6x)+(9a-10a)

combine like terms

9x+-a

That's as far as it goes...

Sorry if it's wrong

Answer:

[tex]\large\boxed{5x - 4, 7x - 4}[/tex]

Step-by-step explanation:

7x - 4

This expression cannot be simplified. You cannot subtract a known number from a variable.

6x - 4 - x

This equation can be simplified

Subtract 6x - x

[tex]\large\boxed{5x - 4, 7x - 4}[/tex]

Hope this helps :)

Answer: $94.50 is how much sales tax will be charged at store B asumming you are talking about the image attached to this answer, if not could you attach an image?

The answer is False. Personal behavior is not the only factor that determines an individual’s illness or sickness. There are other factors which determine an individual’s sickness and dysfunction. There are reasons like obesity which leads to several diseases.

This is false because genetics and environmental factors may also come into play. So there are many factors to be considered if a person becomes ill.

Answer:

L =80

w=60

Step-by-step explanation:

P =280

L =w +20

=>L +w=280 :2 =140

w+20+w=140

2w=140 - 20

2w =120

w=120 :2 =60

L=60 +20 =80

P =2L +2w

P =2 ×80 +2 ×60

P=160 +120

P=280

Answer:

L = 80    ,   w=60

Step-by-step explanation:

l= w+20

perimeter: l+w+l+w=280

Plug in the value of L in place of L

(w+20)+w+(w+20)+w=280

Combine Like terms

and then separate the variables and knowns by subracting 40 from both sides

4w+40=280

     -40   -40

Divide by 4 from both sides so (W) would be alone

4w=240

÷4     ÷4

You solved half the question now

               w = 60

Remember the L at the top

we now know the value of W

so

L=(60)+20

L=80

just to be sure

80+80+60+60=280

you are welcome

Answer:

1.11

Step-by-step explanation:

1.03+0.08=1.11

Answer:

8780.

Step-by-step explanation:

-6 times -6 is 36 + 8744

Answer:

8780

Step-by-step explanation:

We simply substitute "-6" in for "y"

[tex]y^2 + 8744\\\\(-6)^2 +8744\\\\36 + 8744\\\\8780[/tex]

Answer:

2 ( -21 + y )

Step-by-step explanation:  

-24 + 2(y - 9)

-24 - 18 + 2y

-42 + 2y

2 ( -21 + y )

Answer:

Step-by-step explanation:

it will be 10

Answer:

160.65 lb

Step-by-step explanation:

4*18.9 = 75.6 lb

8.5*18.9 = 160.65 lb

Step-by-step explanation:

this is your answer.........

Answer:

Son las tres y diez

Step-by-step explanation:

took the test

am sorry i forgot the first but the second is transformation and the third is rotation

1) corresponding

2) translation

3)rotation

Hope this helps a lil I'm not for sure tho

Answer:

67

Step-by-step explanation:

9x−5

x=8

9(8)−5

72−5

=67

Answer:  The independant variable is the type of tennis ball.  The dependent variable is how high the ball bounces.

Step-by-step explanation: