Dai is comparing how many trading cards he has with his friend Maura. Initially, they find that Dai has four more cards than twice the number that Maura has. Part B) If Dai must give Maura 8 cards so that they have the same amount, set up and solve an equation to determine the number of cards Maura initially had.

Answer:

(x+12)^2=84

Step-by-step explanation:

x^2+24x+60=0

x^2+24x=-60

x^2+24x+(24/2)^2=-60+(24/2)^2

(x+24/2)^2=84

(x+12)^2=84 (ans)

9514 1404 393

Answer:

  b = (-5, 2)

Step-by-step explanation:

b = 2m - a = 2(1, -1) -(7, -4) = (2-7, -2+4)

b = (-5, 2)

__

About the formula

The midpoint is given by the formula ...

  m = (a+b)/2

Solving for b gives ...

  b = 2m -a . . . as above

This question is the same as yours and has a verified answer:

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I hope this helps!

Answer:

The answer is 20.

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

look at first one

Answer:2$

Step-by-step explanation:12-7-3

Answer:

b =950d

Step-by-step explanation:

The manufacturer makes 950 bulbs a day. So, you have to multiply the number of days by 950 to get the number of bulbs made. This can be written as an equation:

b = 950d

Hope this helps :)

An equation to find the number of bulbs b the manufacturer make in any number of days d will be written as b =950d.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a manufacturer produces 950 light bulbs per day.

The equation can be written as:-

b = 950d

The manufacturer makes 950 bulbs a day. So, you have to multiply the number of days by 950 to get the number of bulbs made. This can be written as an equation:

To know more about an expression follow

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#SPJ2

Answer:#1 she didn't finish solving

#2 finish solving for a.

#3 it is similar to solving a two step equation because it is a two step equation just there are variables to go along with it.

Step-by-step explanation:

Answer:

Writing an equation to model a real-world problem is often easier when you take the information given in the problem and express it in verbal form by using a few key words. This is very similar to translating verbal phrases into variable expressions. The difference is you will be translating a verbal sentence into an equation. Then, you can solve the equation using inverse operations.

Let’s look at an example.

Monica purchased a pair of tennis shoes that had this sticker on the bottom of the shoe.

$99.00$65.99

Use a verbal model to write and solve an equation to determine the amount of money Monica saved by purchasing the shoes on sale.

First, write a verbal model to represent the problem.

Verbal Model:

Sales Price+Amount Saved=Original Price

Next, name the variable.

Let ‘

s

’ represent the amount saved.

Next, solve the equation you have written. Remember an equation is like a balance scale. To keep the scale balanced, what you do to one side of the equation you must also do to the other side. When solving an equation your goal is to isolate the variable on one side of the equation and the numerical terms on the other side. This is done by performing inverse operations.

65.99+s=99.00

First, isolate the variable ‘

s

’ by subtracting 65.99 from both sides of the equation. Subtraction is the inverse of addition.

65.99−65.99+s=99.00−65.99

Next, simplify each side.

s=33.01

The answer is $33.01.

A variable can be any element that we can, in some way, change.

The general form of modeling and solving real life problems that involve one variable is:

So for example, something that we can define with a variable is "How many of one type of item we can buy if we know its price"

For example, if we know that a shirt costs $10, then the price of x of these shirts is:

y = $10*x

Now, if you know how much money you have, you can use this equation to find how many shirts you can buy.

For example, you know that you have $20, then y = $20

$20 = $10*x

To solve this we need to isolate the variable on one side:

$20/$10 = x

2 = x

You can buy two shirts.

Now, the general form of modeling and solving real life problems that involve one variable is:

If you want to learn more, you can read:

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Answer:

305

Step-by-step explanation:

If she is at day 19, that means you have to multiply 15 (phones repaired each day)  times 19 (19th day) in order to get how many phones she has counted which is 285. To find how much she has left, you have to subtract 285 from 590 which gets you 305.

Answer:

612750 grams!

Step-by-step explanation:

1 kg = 1000 grams

                               ♥ (  お力になれて、嬉しいです！) ♥

Answer:

2/3=6/9

5/24>1/6

Step-by-step explanation:

Answer:

no solution for x in the real numbers

Answer:

A . 2pi/3+ 2nk.....

Step-by-step explanation:

Answer

you would need 24/3 paint to cover the wall.

Step-by-step explanation:

and 24/3 simplified is 8/1.

so you will need 8/1 paint to cover the wall.

Answer:

C

Step-by-step explanation:

9514 1404 393

Answer:

  6.2 feet

Step-by-step explanation:

The mnemonic SOA CAH TOA reminds you of the relationship between angles and sides of a right triangle. Here, we have the side opposite the 58° angle, and we want to know the side adjacent. The relevant relation is ...

  Tan = Opposite/Adjacent

  tan(58°) = (10 feet)/x

  x = (10 feet)/tan(58°) ≈ 6.249 feet

The length of the shadow is about 6.2 feet.

Answer:

x = 31

Step-by-step explanation:

The sum of the internal angles = 180°

then:

2x-5 + x+10 + 2x+20 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 155/5

x = 31

Check:

2*31 - 5   +  31+10   +  2*31 + 20  = 180

62-5  +   41   +  62+20 = 180

57 + 41 + 82 = 180

Answer:

-3r+13

Step-by-step explanation:

11r-14r-3+16

=11r-14r+13

= -3r+13

Answer:

-3r + 13

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define expression

11r - 14r - 3 + 16

Step 2: Simplify

And we have our final answer!

Answer:

The numbers are:

Step-by-step explanation:

Let 'x' be the smaller number

As the lager of two numbers is 15 more than three times the smaller. so,

The larger number = 3x+15

As the sum of the two numbers is 63, so the equation becomes

[tex]x + 3x + 15 = 63[/tex]

[tex]x+3x=63-15[/tex]

[tex]4x=48[/tex]

Divide both sides of the equation by

[tex]\frac{4x}{4}=\frac{48}{4}[/tex]

[tex]x = 12[/tex]

Therefore,

The smaller number = x = 12

The larger number  = 3x+15 = 3(12) + 15 = 36+15 = 51

Hence, the numbers are:

Answer:

k=-20

Step-by-step explanation:

-14=k+6

subtract 6 from both sides

-20=k

Answer:

k=-20

Step-by-step explanation:

-14=k+6

Really there is only one step subtracting 6 from both sides because it is a positive and needs to leave the equation:

-14=k+6

-6      -6

Which would be k=-20

Answer: The answer is D. QE. This is according to ED2020

Step-by-step explanation:

Answer:

80,023,904

Step-by-step explanation:

Just add all the numbers together.

Answer:

"8023904

Step-by-step explanation:

20 000 + 8 000 000=8020000

4+3000=3004

3004+900=3904

3904+ "8023904"

g(x) = 1/x - 2

g^(-1) => x = 1/g(x) - 2

g^(-1) => x + 2 = 1/g(x)

g^(-1) => g(x)(x + 2) = 1

g^(-1) => g(x) = 1/(x + 2)

Answer: D. g^(-1) = 1/(x + 2)

Answer:

x=15

Converse: If line x and y are parallel then angles on the same line are supplementary angles.

Step-by-step explanation:

Converse:

Let's start with the converse, so if line x and y are parallel then angles on the same line are supplementary angles. I'm not sure if that's the converse your teacher wants but my teacher taught me this.

Finding x:

Now we know that the angles are supplementary angles, that means if w add them together we get 180°. So our equation will be [tex]10x-22+3x+7=180[/tex]. Now we just solve it. We start by combining like terms, then adding the 15 to both sides, and lastly we divide the 13 to both sides and get...

[tex]10x-22+3x+7=180\\13x-15=180\\13x=195\\x=15[/tex]

x=15

Answer:

4p+ 5

Step-by-step explanation:

Given that :

Point stored per quarter = p

Number of quarters = 4

Point scored in overtime = 5

total number of points the basketball player scores during all four quarters and overtime?

(Point scored per quarter * number of quarters) + point scored in overtime

(p * 4) + 5

4p + 5