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Sindrei [870]
3 years ago
6

A pet survey found that the ratio of dogs to cats is 2/5. Write and solve a proportion that shows the number of dogs

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0
So,

The ratio of dogs to cats:
\frac{2}{5}

The other proportion:
\frac{x}{140}

\frac{2}{5} =  \frac{x}{140}

5 times 28 is 140.

Multiply the fraction by the appropriate form of 1
\frac{2}{5} * \frac{28}{28} =  \frac{56}{140}

There are 56 dogs when the number of cats is 140.
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Verify the identity (tan x + 1)^2 + (tan x-1)^2= 2 sec^2 x
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=\dfrac{\sin^2x+2\sin x\cos x+\cos^2}{\cos^2x}+\dfrac{\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{\sin^2x+2\sin x\cos x+\cos^2+\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{2\sin^2x+2\cos^2x}{\cos^2x}=\dfrac{2(\sin^2x+\cos^2x)}{\cos^2x}\\\\\text{use}\ \sin^2x+\cos^2x=1\\\\=\dfrac{2(1)}{\cos^2x}=2\cdot\dfrac{1}{\cos^2x}=2\left(\dfrac{1}{\cos x}\right)^2\\\\\text{use}\ \sec x=\dfrac{1}{\cos x}\\\\=2(\sec^2x)=2\sec^2x=R_s\\\\L_s=R_s\Rightarrow The\ identity

4 0
3 years ago
A cable installer charges $42.50 per hour plus a $45.00 service charge your father firms hires him to hook up his company find t
Fiesta28 [93]
Y = 42.5x + 45.....for 5 hrs.....x = 5
y = 42.5(5) + 45
y = 212.50 + 45
y = 257.50 <===
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3 years ago
Lauren spent 3/5 of her money on a refrigerator. The refrigerator cost $756. How much money did she have left?
Lelechka [254]
Fractions are the part/whole.  We can set this up to be...

3/5 = 756
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if she had 1260 to begin with and spent 756, she would have 504.00 left.
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3 years ago
Find m∠EDC.....................
love history [14]

Answer:

m<EDC=110

Step-by-step explanation:

angle c is 35 degrees too, because this is isoceles

using the sum of the triangle's angles which are always 180

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