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.

Answers

Answer 1

Answer:

Maura had 12 cards initially

Step-by-step explanation:

Represent Dai's card with D and Maura's card with M.

From the first statement, we understand that:

D = 4 more that twice of M

This is represented as:

D = 4 + 2M

From the second statement, we understand that.

When 8 is subtracted from D, M is increased by 8 and both are equal.

This is represented as:

D - 8 = M + 8

Hence, the equations of the system is:

D = 4 + 2M

D - 8 = M + 8

Substitute 4 + 2M for D in the second equation

4 + 2M - 8 = M + 8

Collect like terms

2M - M = 8 - 4 + 8

M = 12

To solve for D, we simply substitute 12 for M in D = 4 + 2M

D = 4 + 2 * 12

D = 4 + 24

D = 28

Hence, Maura had 12 cards initially


Related Questions

Solve the equation for all real values of x.
secʻx+ 2 secx = 0

Answers

Answer:

no solution for x in the real numbers

Answer:

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

Step-by-step explanation:

The lager of two numbers is 15 more than three times the smaller.If the sum of the two numbers is 63,find the numbers

Answers

the numbers are 51 and 12.
x = 3y + 15
51 = (3 x 12) + 15
51 + 12 = 63

Answer:

The numbers are:

The smaller number = 12The larger number  = 51

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:

The smaller number = 12The larger number  = 51

Question 1 of 12
On first day of every month, Katie gets 590 phones to repair. She repairs 15 phones every day after that day. How many phones does she
have left to repair at the end of the 19 day of the month?

Answers

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.

What is the value of the expression 9 + 4 n minus 1 when n = 3? 15 20 36 38

Answers

Answer:

The answer is 20.

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

look at first one

Emily typed 456 words in 8 minutes. Her friend Mary typed 32 fewer words in the
same time frame. At the same rate, how long would it take Mary to type 954 words?

Answers

The correct answer is 18 minutes

help pls this is a missing assignment

Answers

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:

How can real life problems involving one variable be modeled and solved?

Answers

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:

Identify what the variable is and define it.Write the equation.Isolate the variable on one side of the equation.

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:

Identify what the variable is and define it.Write the equation.Isolate the variable on one side of the equation.

If you want to learn more, you can read:

https://brainly.com/question/1806181

Find the length to the nearest tenth of a foot.

Answers

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.

Solve the equation. −14=k+6

Answers

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

Helppppp please!!!!!!!

Answers

A: yes because it is a linear equation, and a strait line on the graph. B: Point (0,0) represents when there was no time passed and no blocks walked. C: The unit rate is 10 blocks per 5 mins or 2 blocks per minute (I think that’s what unit rate is) D: point (10,5) I believe. I’m sorry if this is not correct, I tried

Justin uses 2/3
of a gallon of paint to cover 1/12 of his bedroom wall.
How much paint is needed to cover the entire wall?

Answers

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.

please help lol.. i have to find the value of x..

Answers

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

Name one radius in OQ

Answers

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

Step-by-step explanation:

the mid point of ab m(1,-1). if the coordinates of a are (7,-4) what are the coordinates of b

Answers

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

20000+8000000+4+3000+900​

Answers

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"

A manufacturer produces 950 light bulbs per
day. Write an equation to find the number of
bulbs b the manufacturer makes in any
number of days d.

Answers

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.

What is an expression?

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

https://brainly.com/question/14099845

#SPJ2

Show work if possible, thanks!

Answers

here is the correct answer

What is11r - 14r - 3 + 16

Answers

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

Combining like terms

Step-by-step explanation:

Step 1: Define expression

11r - 14r - 3 + 16

Step 2: Simplify

Combine like terms (r):                    -3r - 3 + 16Combine like terms (Z):                   -3r + 13

And we have our final answer!

True or False?
0.3 is bigger than
1/4
Explain your reasoning.

Answers

True
If you divide 1 by 4 you will get 0.25, therefore, 0.3 will be bigger


Find the inverse of the function. *

Answers

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)

Which equation represents a line which is parallel to the line 2x + 3y = 24?

Answers

Let me see the answers because I do not really understand the question

please help i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

I'll give brainliest please help

Answers

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

There is 612.75 kg of chicken feed for the animals. How many grams of feed is there?

Answers

            (っ◔◡◔)っ ♥ Hey Honey Here! ♥

Answer:

612750 grams!

Step-by-step explanation:

1 kg = 1000 grams

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

A basketball player scores p points each quarter for each of the four quarters of the regular game and then scores 5 points in overtime. Which expression represents the total number of points the basketball player scores during all four quarters and overtime? a. 4(p+5)4 b. 4p+54 c. 5(p+4)5 d. 5p+4

Answers

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

can someone put
< or > for these questions pls

Answers

Answer:

2/3=6/9

5/24>1/6

Step-by-step explanation:

Grade six math, Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool

Answers

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

https://brainly.com/question/9118873?referrer=fromSearch

I hope this helps!

Write the equation x2+24x+60=0 in the form (x+p)2=q

Answers

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)

Penny is holding a car wash. The table shows what part of a car she can wash 1/4 hour how many cars she wash 3 hours

Answers

Not too sure, but I think she can was 4 cars

Shirley earned $12 on Monday, She spent $7 on Tuesday and $3 on Wednesday. How much did she have left to spend on Thursday?

Answers

Answer:2$

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

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