What is the definition of fact family

Answers

Answer 1

A fact family is a group of math facts using the same numbers.

Example:

Using the numbers: 5, and 2,

5 ∙ 2 = 10

2 ∙ 5 = 10

10 ÷ 2 = 5

10 ÷ 5 = 2

Answer 2

A fact family is a set of related math facts using the same numbers to show the relationship between addition and subtraction or multiplication and division.

Definition of a Fact Family

A fact family in mathematics consists of a group of related math facts that use the same set of numbers. Specifically, in the context of addition and subtraction or multiplication and division, fact families demonstrate the relationship between these operations. For example, with the numbers 2, 4, and 6, a fact family would include the following equations: 2 + 4 = 6, 4 + 2 = 6, 6 - 2 = 4, and 6 - 4 = 2. Each pair of arithmetical operations, being related by inverse functions, create the concept of a fact family, illustrating how numbers and operations are interconnected.


Related Questions

Each page of a book measures 12 inches by 8 inches. The cover extends beyond the shorter side one half inch in both directions.

What is the perimeter of the book’s cover in inches?

Answers

41 inches

8.5 time 2 is 17

12 times 2 is 24

17 plus 24 is 41

What is the independent, dependent, and constant in this sentence? A study was done to find if different tire treads affect the braking distance of a car.

Answers

different tire treads - independent

braking distance- dependent

car - constant

Help please

The cost, c(x), for parking in a hospital lot is given by c(x) = 5x + 3.00, where x is the number of hours. What does the slope mean in this situation?

Answers

The answer would be C since 3.00 would be the initial cost and 5 would be the hourly rate, with x being the amount of hours the car is in the parking lot.

The answer is C. In this situation, slope means the rate of change of the cost of parking in the lot is 5 dollar per hour.

What is slope?

Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. That means the change in y due to change in x.

In an equation, y = mx + c, slope is m.

Learn more about slope here

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How do I do this? I’m so confused

Answers

I say left because you have a straight line, i goes through 0,0 and every time it goes over 1 and up by 3.

The temperature was 45 degrees at 6am and and 70 degrees at noon. Identify the rate of change and explain what it means in this situation

Answers

Answer:

[tex]m = \frac{70 - 45}{12 - 6} = \frac{25}{6} [/tex]

The temperature increases 25 degrees every 6 hours, or 4 1/6 degrees/hour.

Calculate the instantaneous speed at the ‘6 second’ time for this ladybug (Show your work


20 l
15 l
10 l
5 l
0 l_______________
1 2 3 4 5 6 7 8

LINE ON 1 AND GOES TO THE MIDDLE OF 20 AND 25

Answers

Answer: 3 m/s


Step-by-step explanation:

1) the instantaneous speed is the slop at t = 6 secs

2) since its a straight line, the slop of the line is the speed and its constant.

the slope is approximately 3 m/s.

20|

15|                          |

10|                          |    d = 15

 5|                           |  

 0|                           |                  

       1   2  3  4   5  6|  7  8    

                   t = 5    

So the formula for speed is

     speed = distance/time

              S = 15/5

              S = 3 m/s

A cone has a height of 2.5 in. and a radius of 5 in. What is the volume of the cone? (Use 3.14 for pi. Round the answer to two decimal places.)

Answers

Answer:

65.45

Step-by-step explanation:

you do 3.14*5^2*2.5/3

Answer:

65.42

The other answer was close, but missed some steps. Rounded up the answer is 65.42

Which improper fraction is equal to the mixed number 6/4/7 ?

Answers

the improper fraction would be 46/7. this is because 6•7 is 42. add the four and that's 46. so 46 over 7.
46 over 7 hope this helps !

what is the product of −2/3*(−1/4)

Answers

-2/3 x -1/4 = 1/6

Hope I helped!

Good Luck!

these both are negatives so the become positives:

[tex]\frac{2}{3}[/tex] x [tex]\frac{1}{4}[/tex]

Multiply them normally from left to right:

[tex]\frac{2}{12}[/tex]

Simplify.

Final answer: [tex]\frac{1}{6}[/tex]

hope that helps :)

What Is the domain of the function shown

Answers

Domain is the set of x values

so answer is D) {2, 4, 6, 8}

Hope it helps

please help. 67.6 divided 16? do you know the answer and can you show me the work.

Answers

i got 4.225

so hope that helps a little!

The answer is 4.225. I also included my work

what is this... 7/13 + 2/7

Answers

9/20 is your answer hope this helps



Put this in a calculator 7/13 + 2/7 it equals 9/20 because the denominator is not equal so it doesn’t stay the same

Rhea saved three parts of her salary and spent one part of t to rent an apartment. she spent $765 on rent, calculate Rhea's earnings.

Answers

Answer:

Rhea makes $2295 every month.

Step-by-step explanation:

In order to find this, we have to note that one-third of her salary is equal to $765. Give that fact, we know multiplying her rent total by 3 would give us the total salary.

$765 * 3 = $2295

NAMASTE :)

HERE IS YOUR ANSWER:

[tex] {\textbf{Let her salary be 'x'}} [/tex]

[tex] {\textbf{1/3 part of salary she spent on rent}} [/tex]

[tex] {\textbf{charges of rent = 765}} [/tex]

[tex] {\textbf{So, lets find her earnings:}} [/tex]

[tex] \frac{1}{3} \times x = 765[/tex]

[tex] {\textbf{ x =}} [/tex][tex] 765 \times 3[/tex]

[tex] \boxed{x = 2295} [/tex]

How to find the derivative of y=1/x-2

Answers

[tex]y=\dfrac{1}{x-2}=(x-2)^{-1}\\\\\text{use}\ (x^n)'=nx^{n-1}\ and\ f'(g(x))=f'(g(x))\cdot g'(x)\\\\y'=\left[(x-2)^{-1}\right]'=-1(x-2)^{-2}\cdot(x-2)'=-(x-2)^{-2}\cdot1=-\dfrac{1}{(x-2)^2}[/tex]

Which shows one more way to determine the factors of x^3 -9x^2 + 5x -45 by grouping. X^2 (x-9) -5(x-9)
X^2(x+9)-5(x+9)

Answers

The given equation is :

[tex]x^3-9x^2+5x-45[/tex]

Take out GCF from the first pair and the second pair

[tex]x^2(x-9)+5(x-9)[/tex]

Now (x-9) is common so

[tex](x-9)(x^2+5)[/tex]

Is it 15, 24, 30, 42, or 48?!

Answers

The answer would be

H. 30

Thanks for using Brainly, and Please make sure to make my answer the Brainliest!

3 feet is equivalent to 36 inches. So it starts as a 36-inch diameter.

Then it need to hang down another 5 inches. 36 + 5 = 41. Then he will need another inch to sew down all the way around so that becomes 41 + 1 = 42. 42 inches in diameter.

The table cloth needs to be 42 inches in diameter.

someone please help me on this! it would be greatly appreciated

Answers

I think this is the answer

The answer you want

The answer you want is right around (0,0). Just follow the x axis. Go by colors. The pink color is x>0 not including 0

The light blue is x <= 3

Where they intersect is a very dark blue.


Don has 5 more pencils than crayons.He has 3 more markers than pencils.Don has 7 crayons.How many markers does Don have?

Answers

well, 7+5=12, so he has 5 pencils, then you add 3, which gives you 15. So


Don has 15 markers

Answer:

Don have 15 markers.

Step-by-step explanation:

Don has 5 more pencils than crayons.

Let the number of crayons Don has = 7

number of pencils he has = 5 + 7 = 12

Don has 3 more markers than pencils.

Number of markers Don has = 3 + 12 = 15 markers

Don have 15 markers.

Solve the equation:
2x−1/4−3x−2/5=1/10

Answers

I hope this help you.
hey there!!

[tex]\frac2x-{1}/{4}-3x-{2}/{5}={1}/{10}[/tex]

=> -x =[tex]\frac-{13}/{20}={1}/{10}[/tex]
=>-x = [tex]\frac={1}/{10}+{13}/{20}[/tex]
=> -x =[tex]\frac {3}/{4}[/tex]
=> x =[tex]\frac{ 3}/{4}[/tex]

How many times 12 go into 22

Answers

the answer is one because 1×12=12 but 2×12=24

For what value of a are the graphs of 6y=−2x+4 and 2y=ax−5 parallel? perpendicular?

Answers

Answer:

a) Parallel when a = -2/3

b) Perpendicular when a = 6

Explanation:

a)  For two parallel lines slopes are equal.

  So, 6y=−2x+4 and 2y=ax−5 parallel if they are slopes equal.

  Slope of 6y=−2x+4, comparing with y = mx + c

     So, m = -2/6 = =-1/3

  For 6y=−2x+4 and 2y=ax−5 to b parallel we have slope of 2y=ax−5 equal to -1/3

   Slope of 2y=ax−5

           m = a/2

    We have a/2 = -1/3

                    a = -2/3

b) For perpendicular lines product of slope is -1.

   So we have

               [tex]\frac{a}{2} *\frac{-1}{3} =-1\\ \\ a=6[/tex]    

Final answer:

The value of 'a' that would make the graphs of the equations 6y = -2x + 4 and 2y = ax - 5 parallel is -1/3. Meanwhile, the value of 'a' that would make them perpendicular is 3.

Explanation:

The question you've asked is about finding the values of a for which two graphs represented by the equations 6y = -2x + 4 and 2y = ax - 5 are either parallel or perpendicular. To solve this, we need to understand and apply the concept of slope in straight-line equations.

Firstly, rewrite the given equations in the form of y = mx + b, where m is the slope. For the first equation, it becomes y = -1/3x + 2/3, so the slope is -1/3.

Parallel lines have the same slope. Therefore, the value of 'a' for the second equation to be parallel with the first needs to be -1/3. Conversely, perpendicular lines have slopes that multiply to -1. Thus, for the second line to be perpendicular to the first, 'a' would have to be the negative reciprocal of -1/3, which is 3.

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answer to this question?

Answers

$88.50 you just add btw.just letting u know

Answer: y = 13.50x + 75


Step-by-step explanation:

13.50 is an hourly wage so it is x.

+ 75 because of the bonus.

Y = the total

So, the equation must be:

Y= 13.50x + 75

So are teacher ‍ gave us the answer but she wants us to to the work and I have tried so hard and I can’t find it

Answers

In order to find the shaded region the first thing you have to do is find the area of the two small triangles, then find the area of the big triangle. Subtract the area of the small triangles from the big one and that is the area.

Step one: 11×12=132

Step two: 132÷2= 66

Step three: 66+66=132 (because there is two small triangles with same dimensions)

Step four: 40×15=300

Step five: 300-132=168

Answer 168m^2

Roy already has 10,368 frequent flyer miles, and he will earn 2,832 more miles from his round-trip flight to New York City. In addition, he earns 2 frequent flyer miles for each dollar he charges on his credit card.

Answers

10,368+2,832=13,200

13,200×2=26,400
Final answer:

To find Roy's total frequent flyer miles, add his current miles (10,368), the miles he'll earn from his trip to New York (2,832) and the miles he'll earn from his credit card spending (2 miles per dollar spent). The final expression for total miles is 13,200 + 2d where 'd' is the amount spent using the credit card.

Explanation:

Roy's total frequent flyer miles can be calculated by adding his existing miles, his incoming miles from his trip to New York, and the miles gained from using his credit card. Let's assume he spends 'd' dollars using his credit card.

Firstly, we combine the miles he already has and those he will earn from his round trip: 10,368 miles + 2,832 miles = 13,200 miles.

Secondly, we consider his credit card earnings. As he gains 2 miles per dollar spent, he will earn '2d' miles from his credit card spendings.

Finally, we add these together to get the total frequent flyer miles he will have: 13,200 miles + 2d miles. Therefore, the total miles that Roy will have depends on the amount 'd' he spends on his credit card.

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A fish wing rod was 125.99 and 15% discount and sales taxes was 3% what was the sale price with tax

Answers

$110.30

I took 125.99 x 3% or .03 which equaled 3.7767.

Then i added it to 125.99 and it equaled 129.7767

then i used a calculator online to finish the problem

Omar is born weighing 8 pounds, 3 ounces. The doctor says he should again about 5 ounces each week for the next 4 weeks. How much should Omar weigh after 4 weeks?

Answers

8 lbs 3 oz + 4 * 5 oz  

8 lbs 3 oz + 20 oz

8lbs 23 oz     there are 16 oz in a lb   (23-16 = 7)

8 lbs + ( 1 lbs 7 oz)

9 lbs 7 oz

Answer:

Step-by-step explanation:

9 pounds, 7 ounces

At an ice skating rink, there are 22 people who know how to ice skate and 18 people who do not know how to ice skate. What is the ratio of people who know how to ice skate to people who do not know how to ice skate?

Answers

Answer:

11:9

Step-by-step explanation:

Simply reduce the two numbers

22 over 18 is equivalent to 11 over 9 when you reduce by 2

Carlos has $20 to spend on six avocados. After buying them he had $2. Him much did each avocado coast

Answers

Cost Carlos 3 dollars per avocodo

If we have $2 left then that means we used $18 dollars on the avocados.

All we have to do is divide $18 dollars by 6 avocados.

$18 / 6 = 3

So each avocado was $3

GOOD LUCK :)

Keelah's Clothing Store buys coats for $50 and then sells them for $80. What is the percent of mark up on the price of the coat?


with work

Answers

Answer:

37.5%

Step-by-step explanation:

subtract 80 by 50 to find the increase of money

80-50=30

then divide the number you got by the increase of price Wich is 80

30÷80=0.375

then multiply 0.375 by 100 to put it in percentage form

0.375x100=37.5%

Using complete the square to solve (x+7)(x-9)=25 for x.

Answers


x=  10.43398113 ,  -8.43398113

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