Answer:
Step-by-step explanation:
The number of months is our unknown, which we will call x. y is the amount she saves. Representing the fact that she puts $10 away per month is 10x. If she puts $300 down initially and then adds 10 per month to that, the first equation is
y = 10x + 300
The same goes for the second option. Putting $30 away every month is represented as 30x, and if she is starting with 100 and adding 30 a month to it, the second equation is
y = 30x + 100
We are being asked to find the number of months where the amount Tina saves is equal. Since y is the amount Tina has saved and we want to know when these amounts are equal, we will set the equations equal to each other and solve for x, the number of months.
10x + 300 = 30x + 100 and
200 = 20x so
x = 10. After 10 months, Tina will have saved the same amount of money regardless of which option she has chosen. This is only true for 10 months though. After that, one will show more of a savings than the other.
Answer:
£714.00
Step-by-step explanation:
The first step is to set up expresssions for the two shares:
Let x = the amount of one share. The other share is 1785 - x. <u>You don't have to worry about which is smaller--that part will work out automatically</u>!
The two shares are in the ratio of 2:3, so set up the proportion
Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.
Solve the proportion for x by "cross multiplying" -- use the Means-Extremes Property of proportions.
So one share is £714£ and the other is £1785 - £714 = £1071.
The smaller share is £714.
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We are given the following values:
0.125 pound
0.1 pound
0.12 pound
All values start with the same number which is 0.1,
therefore the 0.1 is the smallest.
Next the two values are followed by 0.12, so 0.12 is the
next smaller number.
So the largest number is 0.125.
Arranging from least to greatest amount of trail mix eaten:
<span>Dana, Tracy, Joanna</span>
= ( 81 / 36 ) * ( s^2 / s^2 ) = ( 9 / 4 ) * 1 = 9 / 4 = 2.25.
That's a true statement. In fact, it doesn't even matter what the two numbers are.
'A' times 'B' is equal to 'B' times 'A', whatever they are.