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vredina [299]
3 years ago
8

2 At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three

more of each, the ratio
of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.​
Mathematics
1 answer:
KatRina [158]3 years ago
6 0

Let D be dogs and C be cats

<em>dogs, d, is initially five less than twice the number of cats, c</em>

D + 5 = 2C

<em>If she decides to add three more of each, the ratio  of cats to dogs will be</em>

D + 8 = 2C + 3

<em>Could Bea's Pet Shop initially have 15 cats and 20 dogs?</em>

Simply plug in the numbers

20 + 5 = 2(15)

This is clearly not true: 25 does not equal 30

<em />

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21−=2(2−)=2cos(−1)+2 sin(−1)

−1+2=−1(2)=−1(cos2+sin2)=cos2+ sin2

Is the above the correct way to write 21− and −1+2 in the form +? I wasn't sure if I could change Euler's formula to =cos()+sin(), where is a constant.

complex-numbers

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edited Mar 6 '17 at 4:38

Richard Ambler

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asked Mar 6 '17 at 3:34

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1 Answer

1

No. It is not true that =cos()+sin(). Notice that

1=1≠cos()+sin(),

for example consider this at =0.

As a hint for figuring this out, notice that

+=ln(+)

then recall your rules for logarithms to get this to the form (+)ln().

8 0
3 years ago
What is 68 times 4211
Zepler [3.9K]
2004436the answer is2004436
7 0
3 years ago
HELPPPP PLEASE!!!!!!
Sergeu [11.5K]

Answer:

x = 7

Step-by-step explanation:

7x - 12 = 9x - 26

7x - 12 = 9x - 26

+12 +12

7x = 9x - 14

7x = 9x - 14

-9x -9x

-2x = -14

-2x = -14

___. ___

-2 -2

x = 7

8 0
3 years ago
The directrix of a parabola is y=9. The focus of the parabola is (2,5).
GrogVix [38]
The distance from any point P (x,y) on the parabola to the focus = the distance of this point from the directrix.

distance between P to focus:-

= sqrt ( x - 2)^2 + (y - 5))^2

distance from the point to directrix = ( 9 - y)

so sqrt( x - 2)^2 + (y-5)^2  = 9 -y
(x - 2)^2+ (y - 5)^2 = (9-y)^2
x^2 -4x + 4 + y^2 - 10y + 25 = 81 - 18y + y^2
x^2 - 4x + 4 +25 - 81 = -18y + 10y
-8y = x^2 - 4x -52 

y =  (-1/8)^2 + 1/2 x + 6 1/2    is the required equation


4 0
3 years ago
Is this statement true or false? If tan 45° = 1, then tan-1 1 = 90°.
Viktor [21]
False because 90 is grater right
8 0
3 years ago
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