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lubasha [3.4K]
4 years ago
10

Sheila has x 20 dollar bills, and Tamsin has y 10 dollar bills. Sheila has a total of $50 more than Tamsin, but Tamsin has 1 mor

e bill than Sheila. How many bills does Sheila have?
Mathematics
1 answer:
agasfer [191]4 years ago
7 0

Answer:

Sheila have 6 bills

Step-by-step explanation:

<em>Suppose Sheila has x '20' dollar bills, so the total cost of her bill = $20x</em>

<em>Suppose Tamsin has y '10' dollar bills, so the total cost of her bill = $10y</em>

<em />

<h2>Equation 1</h2>

Sheila has a total of $50 more than Tamsin

10y + 50 = 20x

<h2>Equation 2</h2>

Tamsin has 1 more bill than Sheila.

y = x + 1

Now solve them by putting value of x in equation

10( x + 1 ) + 50 = 20x

10x + 10 + 50 = 20x

60 = 20x - 10x

10x = 60

x = 60/10

x = 6

and

y = 7

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Answer:

(answer in explanation)

Step-by-step explanation:

so, whenever you divide factorials, as soon as you get it to be the same ! on the top and bottom of the fraction, they cancel out like any other fraction would.

So, lets say you're dividing 55! / 50!

55! can also be thought of as 55 x 54 x 53 x 52 x 51 x 50!

\frac{55*54*53*52*51*50!}{50!} = 55 * 54 * 53 * 52 * 51

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9. Stephanie swam 5/8 of a lap in the morning and
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7/24

Step-by-step explanation:

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The two lines, P and Q, are graphed below: Line P is drawn by joining ordered pairs negative 8,15 and 6, negative 12. Line Q is
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Solution:

Keep in mind ,

Equation of line joining two points (a,b) and (p,q) is given by :

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Equation of line P which is obtained by  joining  (- 8,15) and (6, - 12) is given by:  

\frac{y-15}{x+8}=\frac{-12-15}{6+8}\\\\ 14(y-15)=-27(x+8)\\\\ 14 y -210= -27 x - 216\\\\ 27 x+14 y+6=0

Equation of line Q which is obtained by  joining  (4,16) and (-9, 10) is given by:  

\frac{y-16}{x-4}=\frac{16-10}{4+9}\\\\ 13(y-16)=6(x-4)\\\\ 13 y -208= 6 x - 24\\\\ 6 x-13 y+184=0

Equation of line P and Q are

27 x+14 y+6=0-------(1)× 2

6 x-13 y+184=0-------(2)× 9

54 x + 2 8 y+12=0---(1)

54 x -117 y +1656=0----(2)

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145 y= 1644

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27 x+14 y+6=0-------(1)×13

6 x-13 y+184=0-------(1)×14

351 x + 182 y + 78=0-----(1)

84 x - 182 y +2576=0----(2)

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435 x + 2654=0

x = - 6.11

So, solution set is (-6.11, 11.33)

Option (C) is true. (−2, 4), because this point makes both the equations incorrect.


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Answer:

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