<span>Let x=number of nickels in the piggy bank
(2x+3)=number of dimes in the piggy bank
(3x-3)=number of quarters in the piggy bank
.05x+.10(2x+3)+.25(3x-3)=14.55
.05x+.20x+.30+.75x-.75=14.55
</span>
<span>
1.00x=14.55+.45
x=15
2x+3=33
3x-3=42
The number of nickles in the piggy bank would be 15.
</span>
<span><span>The number of dimes in the piggy bank would be 33
</span></span>
<span>The number of quarters in the piggy bank would be 42. </span>
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Answer:
Option A : 15x² + 62x + 63 is the correct answer.
Step-by-step explanation:
Given measurements of the figure are:
5x + 9 and 3x + 7
We have to find the area. We can find the area by multiplying the two expressions.
Area = (5x+9) * (3x+7)
Area = 5x (3x+7) +9(3x+7)
Area = 15x² + 35x + 27x + 63
Area = 15x² + 62x + 63
Hence,
Option A : 15x² + 62x + 63 is the correct answer.
Try breaking these into sections.
Twice: 2 times
The sum of: add
A number: choose a variable, like x
---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"
-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"
Is: equals
-------"Twice the sum of a number and four is" becomes "2(x+4)="
23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"
three times the number: 3 times x
---"23 less than three times the number" becomes "subtract 23 from 3 times x" which, mathematically, is "3x-23"
-------So the final phrase: 2(x+4)=3x-23"
The common difference is that constant difference found when any term is subtract by the term preceding it...
d=17/9-18/9=16/9-17/9-15/9-16/9
d=-1/9
<span>5 x 4 x 3 x 2 x 1 = 120
The first person can move 5 positions since he is first. The second person can move 4 positions since one is already occupied, and so on...</span><span />
