How will you explain the following
1.) 14 - 8
2.) What is my change, if I had $14 and I bought a sandwich for $8?
3.) What is my change, if I had $14 and I bought two CDs, each $8 each?
4.) If I had $14 and I bought 2 blank CDs and received $6 change, what is the price
of a CD?
131 comments:
i think a variable can either b an number or letter example 5 is a variable and x is also an variable
A variable is a interger which can either be postive or negative
can variables also be letters?
A variable is a character that represents something in real life as a mathemathical term
the change would equal to six dollars since it can be done by minusing $8 from the $14
if you have 14 apples and you give your sister 8 apples, you would remain with 6 apples.It is the same as 14-8=6
14 - 8 represents a quantity of 14 items and 8 items being taking away
1)14 - 8, this is the difference between the values 14 and 8, the result is the value missing i.e. 6
lets say u have 14 dollars ok. and u owe frank 8 of those dollars therefore u will have to give frank his 8 dollars from d 14 dollars and the remainder of the money will b d answer.
1) I believe that it is a decrease from the 14 number 14 to the number 8. it is a sudden or fixed decrease, meaning that it does go through any other number. for example it does not go to 12 then 10 then 8. it goes directly to its location which is 8.
the first question tells some one to take the number 14 and take away 8 from it.for example if i have 14 oranges, i will have to give a child 8 oranges from the 14.i will be left with less than 14
(14-8) is the same as have 14 sticks and you gave someone 8 of them, the amount you are left with is equal to 14-8 = 6
it is you have $14 an you minus $8 from it an you will get a change of which will $6
(1)If I had to explain this I would say that 8 objects is being taken away for 14 objects. For example from a bag of 14 oranges 8 is being taken away.
14-8 is the difference between the to intergers an at the end you will get 6
3) since you have $14 you cannot buy something that is more than that amount. The total of the two cds would be $16.
for no. 1: 14 is a value that contains eight items plus another value. when eight values are removed from the value fourteen the excess value is the difference between the two numbers
If i go to the cafe with $14 and the sandwich i bought costs $8 ,the amount of money i'll be left with is the same as 14-8 which is $6.
you jus take 14 and take 8 away from it. for example if i have 14 oranges and i give a little boy 8 from it, i will only remain with less.
14-8 is asking the difference between the two interger an therefore the end answer after the operation will be 6
for the second question the answer will be $6 because its like sayin u have 14 marbles and u lost 8 of them the remaining amount of marbles will be 6.
(2)(2)If I had $14.00 and a I bought a sandwich for $8.00 then respectively my change would be $6.00 ( 14 - 8 = 6). This answer can be found not allow in dollars and cents but in any other example as is shown in the explanation of the first question.
in a real life situation, if i have $14 and i want to purchase 2 items for $8 each, it will be 8*2=$16..the total cost of the items would be more than how much money i have. therefore i'll be $2 short.
so in a math equation it will be expressed as 14-16= -2
In the first question 14-8 basically represents 2 numbers. 1 number is being taken away from the other but it is not equal to anything.
if i go to the cafe with $14 and i buy a sandwich for $8.I will automatically get back some change from the cashier.14-8=6
as glitter right fully said.
if there r 14 students in the class and if 8 goes out the remainin will b 6
i agree with Glitter, the -2 is what you will now be owing
(4) If you have $14 an you get $6 change the 2 CDs cost $8 this is obtained by finding the difference between $14 an $6 which would be $8 an therefore 1 CD costs $4
basically what the question is say that you have $14 and you go to the canteen to buy a sandwich that cost$8,the remain amout you would have after buying the sandwich is $6.($14-$8=$6)
Q4
if i have $14 and i receive $6 change then the difference between what i paid and $14 is $6. Therefore the difference between $14 and $6 will be your payment.
in conclusion a variable is something that is likely to change or vary
-i like nachos-
I agree with Glitter
the questions are the word for of the same question 14-8.
In the second question it ask you to find the money you are left with after purchasing a sandwich. In order to derive an answer you have to minus the cost of the sanwich from the initial amount of money you have. Therefore it will look like this 14 - 8 = 6. To showhow u get this answer you can draw a number line and at the position 14 u move 8 places to the left and you will get the answer.
the roti is for $8 and i gave him $14 so the change he gave me back is $6
4) In order to get the answer the total of the cds will be equal to the amount of money minus the change left. From this amount it has to be divided by two since both cds are the same price.
if i have $14 and i have to buy two cd's at $8 each, this would be quite impossible since= 8*2 is $16.Remember i only have $14 so therefore the amount that the two cds cost has exceeded the amount of money that i have which is $14.
You cannot take away a bigger number from a smaller number.
Q3
If each CD cost $8 then $14 would not be enough to buy two of them since the combined cost would be $16
(3)If i had $14.00 and I bought two CDs, each for $8.00 I would have no change. This question is like asking if i had a bag of 14 apples and i took 8 apples from this bag which will leave me with 6apples then i would like too take 8again. Is this possible? No it isn't, since 6 apples are only available in the bag. Hence, no change can be possible.
At the end of the 4 questins a variable can be said to be a interger either postive or negative an letters in cases of equations
2) your change would be the would be the money u get back when u pay the 8 dollar from the 14 dollar u had. for example:
*u take the 14 dollars u have and put it on a table
*and then u take out 8 dollars form the 14 dollars and put it in your pocket,
*and then count the money u have remaining on the table.
*the money remaining on the table is your change
*and the money in your pocket is what u pay for the sandwich.
a variable can then be said to be something that is not constant it can change to represent different magnitudes of numbers
what are you trying to explain YOSHI.Your comments is unclear to the question 4?
Q2
buying a sandwich for $8 and i already have $14 then my change would be the same as subtracting 8 from 14.
i buy two drinks which is $8 each and i have $14 with me, so it costs $16 wher i need to give him $2 more
in all the questions above if was found that, 14 is the fixed integer/value of these questions, the variables are 8, 16 (2 * 8), 6 and the unknown value for the 2 cds which resulted in $6 change, because they were the only values changing
if i went to the music store to purchase 2 blank CDs and i gave the cashier $14 dollars and he/she just took $6 from the money and presented it back to me, this would mean that my total bill was $8..to arrive at this conclusion, it is simply 14-6 = 8.
if i wanted to calculate how much 1 Cd cost because i bought 2, i would have to divide $8 by how many CDs i purchased, taking into consideration the 2 CDs are the same which would cost the same amount as the other. my equation will be
(14-6)/2=4
Will you agreee then that minus is simply reducing something?
(1) 14-8 this means 14 -(subtract or take away) 8.
yoshi, explain what you meant in your comment on question 4
what they are saying is that one CD cost $8, so 2 CDs will cost 8 add another 8 which will give you $16.However you only have $14 meaning that you have less than the amount the both CDs cost.Therefore you would be $2 short, meaning that you would own the cashier $2.
What about 14 - x?
What does this mean?
1) 14-8...ok say you hav 14 footballs and you sink 8 into the goal...you remain wit 6 footballs wen you count it...this is an example of subtraction...its wen you "take away" a certain amount from a set
if u had $14 and both 2 cds at $8 each. $14 is the total amount of money u hav 2 spend.$8 is d cost of 1 cd therefore 2 cds will cost either $8 *2=$16 or $8 + $8 =$16 also therefore the amount u will owe for the cds is $16 and since u only have $14 u will owe the person $2 or u will have 2 settle for 1 cd
if i have $14 and i bought 2cds and i got $6 change.
I will just say $14-$6=$8
then i will divide it by 2 because i purchased 2 cds and and i will get 8/2 = 4.
therefore $4 for a cd
the cost of a cd will b $4 and for two cds it costs $8.....so its like u have $14 and u buy 2cds and he gives back $6 so its 14-6 and its $8 for 2cds and for a cd it should b $4
yes i will agree that minus is simply reducing something.
but will the term something be in the context of a variable?
x is an unknown variable and it represents the amount to be "taken away" from 14
Simple calculation.14 is how much u have and 8 is how much u spent.So subtract how much u spent from how much u have to find your change.eg 14 - 8 = 6
14-x well i think dat dis means 14 reduced by an unknown amount whic in dis case is (x).
x suggest that the value is unknown and a variable, likely to change, it can be anything from minus infinity to positive infinity, the letter x can also be represented by other letters, it doesnt always have o be x, the value can be labeled, t for example
14 - x means that you are reducing 14 by the value of x
14 - x would mean that the term 14 is reduced by the term x, which is watever value x may be.
14-x this is an expression wher there is a # and a variable. this cannot b solved because there is no equal sign. if there was an equal sign the expression will then be called an equation and the variable x in the equation can then b solved
14-x
14 is a number and x is an unknown variables
it doesnt mean reduce, because a minus + minus equals a plus @hellion and glitter
14-x
This is simply known interger which is 14 subtracting an unknown interger which in this case is x
i think pussin boots is making a great way of putting it across to someone .it is really an expression tht cannot be solved
only equations can be solve
Now a variable which is like x, what really is a variable?
the x value you can be negative and it would now be addition
2) calculating the change is an example of substitution....you have $14 and u use $8 to by the sandwich you are not gettin that$8 bac so you hav to "take away" 8 from 14 and the amount you remain with is your change...in this case it wud d $6
(4)If i had $14.00 and I bought 2 blank CDs and recieved $6.00 then the price respectively of each CD is $4.00. This is like saying if i had a bag 14 pears and suddenly two people wantn't some pears from this bag. But, I wantn't to have 6 remained back. So to do this i took 8 pears from my bag then i gave 4 pears equally amongst the two of them. But, it should be noted, that pears and only pears can be used in this example. For instance, if i used apples in my example apples can only be used since to relate this question to this example it must have only one type of object being used.
4) $14 is the amount of money i have, I receive $6 change I said to minus $6 from $14 which will give $8 . this $8 is the divided by 2 to give $4 the price of 1 cd
In the third question it states that you have $14 and you bought 2 cds at $8 each. in order to get your answer you must find the cost of the 2 cds. you can do this buy multiplying the cost of 1 cd by the amount of cds which is 8*2. you will get 16 as your answer. in order to find out what change you will get you have to minus the cost of both cds from the money you have therefore you can say 14-16. you will get -2 as your answer but in a real life situation there is nothing as negative change. so therefore you cannot purchase 2 cds with the money you have.
14-x is like ur takin away x items from the given 14 items
I agree with PSYCHOTIC in sayin that 14 is reduced by the term X
a variable is something that can change
a variable is a change that can be made to a situation that you have. While the other numbers reamin constant the variable can be changed to obtain different values from the same equation
well find for how much two CD's cost first by multiplying 8 by 2 = 16.But the two CD cost more than what u can spend.So u cannot buy the two CD with 14 dollars.
a variable can be any value both known and unknown.
it doesnt state 14 has to be reduced, if the variable is a negative value it would increase, and the variable can be either negative or positive!!
14-x mean that u are simply going from 14 to where ever the location of x is. for example: if x is 20, u just move from 14 to 20 and if x is 10, u go from 14 to 10. the first number is where u start and the second number is where u going to. so in 14-x u start 14 and u u go to where ever x is.
i think a variable is a character used in an equation to determine unknown values.
(14 - x) is like saying if i had a group of 14 boxes and i took away a certain amount of boxes from this group. The 14 boxes would be the "14" in the expression (14-x), and the x would be the "certain amount of boxes" being taken away.
A variable is a number E.g 1,2,3 etc an also numbers such as -1,-2,-3. It can also said to be letters in some cases.
what do you mean hellion?in saying your answer for variable
14-x is an expression because it is not equal to anything this means is cannot be solved. it also contains an unknown value which is x and it is being taken away from 14.
in the context of 14-x, the question is what is really a vaiable....
based on all these explainations..
a variable can be a value either positive or negative, as seen in the real life questions where the solutions to these problems could be either + or - ...i also agree with psychotic & marz
yes minus is a decrease in the amount. 14-x simply means a quantity of any size that is removed from 14. thus a variable can be anything from a letter to a string of words. It represents something that can change with time or situations.
a variable per say can be a changing value.example 5 is a variable and 10 is a variable
a variable represents an unknown number that in maths you hav to calculate.....ok say you had 20 milky way bars and your classmates take a certain amount but you do not kno how much they took but you kno how much you were left with....the number of bars they took wud be the variable and you hav to calculate that amount...
so in a maths eq'n you get 20-x=12
to find x you rearange the eq'n
a variable is like a number of something that can be displayed as a letter or number.like a certain amount of apples and a certain amount of pears.it is like a quantity
a variable is a character either a number such as 2 or a letter such as A
what if the store had a sale saying buy one and get one free, does that mean that each CD cost $4?Suppose one CD was for $8 because of the brand and type of CD.Wouldn't you received $6 change and still have 2CDs.I am just making a suggestion. Can you explain if what i am saying is making sense,Miss.
a variable is an unknown
alpha_pi how is a number a variable since a number can only change when there is a change is subjected eg. adding 1. A number represents something of a certain size or quantity
3) if you are bying 2 ds for $8 each fist you hav to multiply 2 by 8 abd the ans is the amount you hav to pay for the 2 cds...the ans wud b 8x2= 16....and if you only hav $14 you cannot by the 2 cds you need $2 more because 14+2=16
14 - x = 6.
x is used as an unknown value.
14 is how much u have.
6 is the change u received.
Make x the subject and then calculate for 1CD by dividing the unknown value by 2
the solution is based souly upon the value given for the variable(unknown).
A variable is an unknown value of something. This 'something' can be sum of money, collection of data, a group of people; anything that can be counted.
i like ure suggestion space_alien... but in that scenario...one CD will be $8..because u know the store has a sale...and u are to get one free..
a variable is an unknown value that represents a number.
What is a graph?
What does the x axis and y axis represent?
alpha_pi
A variable cannot be a number instead it represents a number.
It is an unknown number
space_alien
Buy one get one free
If something is free, it is a gift.
If you buy one CD and get one free,
you paid for 1 only.
But it is rumored that the store can raise the price of 1 CD to reflect the price of 2 CDs.
If this was done, then technically you paid for 2. Now, does the vendor admits to raising his price, he would strongly defend this. Based on his answer, we would conclude that you actually paid for 1 CD.
a graph is a two dimensional diagram in which two imaginary lines which r perpendicular to each other is drawn and an objects position is measured from these two imaginary lines by specifyin the co ordinates for the object has x,y...wher x is called real axis and y axis is calles imaginary axis
i think a graph is something that represents one commodity versus another.
x would be represented on the horizontal plane for example, time taken for an object.
y would be represented on the vertical plane for example, distance the object travelled.
hence the gradient or the slope of the line produced would be the speed at which the object travelled.
#3)if u had $14, u would not be able to buy 2 cd's costing $8 each! this is because the 2 cd's would cost $8 by 2, which is simply $8 + $8 bacause is 2 cd's u want and each one cost $8. when u add $8 + $8 u will get $16. if u remember, it is $14 u have. u can't get $16 out of $14 because $16 is greater than $14. in other words, if u take a big number out of a small number u will get a negative(-) number. Money is positive(+) that is 0,1,2,3,3.5,etc. if u have $14 and u count it u will never reach $16. u need to reach $16 to get the cd's so with $14 u will not be able to buy the cd's so u will remain with your $14
if you had $14 and u attempted to buy 2 CDs each costing $8 then u would receive only one Cd and the difference between the amount the cd cost and the amount of money u had.
the only other option i could think about would be that the sales clerk or whoever is in charge at the moment gave u the opportunity to owe them the difference between the amount of money u had and the cost of 2 cds each at $8 ($16).
If I had $14 and I bought two CDs, each $8, then that will not be possible. I would owe the vender.
If the CD was $4 each, then this will be possible
for #1 i would say if you have 14 marbles and you lost 8 the remaining marbles will be = to or the same as 14 - 8
For #2 it would be the same as #1
For #3 i would say that i am owing the person $2 for the cd's because 1 cd is 8 and since it is 2 cd's it would be 8*2 which is 16. but all i have is 14 and if i pay 14 it would be 16-14 which will equal 2
For #4 to get the price for 1 blank cd first i will take away 6 from 14 because it my change after buying the 2 blank cd's. so when i take away 6 from the $14 i had i would remain with 8. now this 8 would be the cost for the 2 cd's so i have to share the 8 by 2 and when i do this i will get the cost for 1 cd which will be $4.
A graph is the representation of 2 mediums versus each other and is laid out as a 2d image. The x-axsis represents values on a horizontal plane and the y-axsis is perpendicular to the x-axsis therefore it is vertical. And we can also say that the x and y axsies are in essence 'number lines'.
i agree that minus is reducing something.
a variable is value that may change or may not change
14 is the initial variable, (-) is the operator 8 will the second variable.
ytuxthere will only be change if one sandwich is purchased $14-8=6
two sandwiches cost
8+8=16
there will only be change if one cd is purchased $14 - 8 = 6
two cd cost
8+8=16
I made an error in the earlier comment
I have $14 and I purchesed a sandwich for $8 my change will be $6
I have $14
I bought 2 blank cds
I recevied $6 change
Therefore I spent $8
The 2 cds cost the same
so I divide $8 by 2
so one cd cost $4
I think a variable is an unknown value that has the ability to change.
based on alpha_pi's comment I don't think it is clear enough because by reading it I am unable to understand what really is a variable I think he/she needs to be a little more spacific.
14-8 has a resulting value of 6. It can be seen that the original value(14) has changed due to a differece of 8.
If I had $14 and I bought a sandwich for $8 then my change would be $6. Therefore I no longer have my original amount of money it has changed due to my spending action.
If i had $14 and bought 2 cds each at $8 then I would not receive any change.In fact I would be owing the shopkeeper. Therefore I am allowed to buy only one cd without passing my spending limit of $14.
If I had $14 and bought 2 blank cds and received $6 change then a single cd would cost $4.Hence,14-6=8. Ispent $8 on 2 cdst therefore 1 cd costs 8/2=4.
a variable is a substitution for a real # or integer in cases of unknown values.
b real! 14-8=6
14-8=6
14-(2*8)
14-16= -2
u hav no change to get infact u are owing 2 dollars
14-2x=6
2x= 14-6
x= 8/2
x= 4
each blank will cost 4 dollars
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