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Arlecino [84]
3 years ago
14

Ramone tossed 1 quarter, 2 dimes, and 13 pennies in the wishing well at the party. What is the total amount of money as a fracti

on and as a decimal?
Mathematics
1 answer:
ankoles [38]3 years ago
8 0
For this case we have:
 1 quarter:
 (1) * (0.25) = 0.25 $
 2 dimes:
 (2) * (0.1) = 0.2 $
 13 pennies:
 (13) * (0.01) = 0.13 $
 Adding we have:
 0.25 + 0.2 + 0.13 = 0.58 $
 As a fraction:
 58/10 = 29/5 $
 Answer:
 The total amount of money as a fraction and as a decimal are:
 $ 29/5
 
$ 0.58
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Can someone write the point slope equation
almond37 [142]

okay so, first what is the slope of the line? you have stated it is -1.

so now we have a point on the line (x1,y1) = (4, -9), so now we can use:

y-y1 = m(x-x1)

y - (-9) = -1 (x - 4)

y + 9 = -x + 4

y = -x + 4 -9

y = -x -5

Let's check. If x = 4, then

y = - (4) -5 = -9

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Charra [1.4K]

As it has been given that x=4+5i, y=2-9i.

We need to find the value of the following:

(i) 4x-y, substituting the value of 'x' and 'y' in the expression, we get:

4(4+5i)-(2-9i)=4\times 4+4\times 5i-2+9i=16+20i-2+9i

=14+29i

So, 4x-y=14+29i

(ii) -x+3y, substituting the value of 'x' and 'y' in the expression, we get:

-(4+5i)+3(2-9i)=-4-5i+3\times 2-3 \times 9i=-4-5i+6-27i

=2-32i

So, -x+3y=2-32i

(iii) x \times y, we need to substitute the value of 'x' and 'y' in the expression,  for this, we can use distributive property of multiplication that says,

a(b+c)=a \times b+ a \times c

Using the distributive property of multiplication:

(4+5i)\times(2-9i)=4 \times 2-4 \times 9i+5i \times 2-5i \times 9i

=8-36i+10i-45i^2

Now, we know that i \times i=i^2=-1

We get, 8-36i+10i-45 \times (-1)=8-26i+45

=8+45-26i=53-26i

Therefore, x \times y=53-26i.

(iv) We have, 2x \times y, we need to substitute the value of 'x' and 'y' in the expression, we get:

2(4+5i)\times (2-9i)

Again, we can use distributive property of multiplication that says,

a(b+c)=a \times b+ a \times c

So,

2(4+5i) \times (2-9i)=2\times 4+2 \times 5i\times(2-9i)

=8+10i \times(2-9i)=8\times 2-8 \times 9i+10i \times 2-10i \times 9i

=16-72i+20i-90i^2

since, i^2=-1

we get,

16-72i+20i-90 \times (-1)=16-52i+90

=106-52i

Therefore,

2x \times y=106-52i


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