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Hitman42 [59]
3 years ago
13

A human society has 73 dogs and cats to be adopted. the number of cats is 10 more than twice the number of dogs. Write a system

of linear equations that represent this situation. How many of each animal is up for adoption?
Mathematics
1 answer:
viktelen [127]3 years ago
8 0
Total: 73
dogs: x
cats: 2x+10

2x+10+x=73
3x+10=73
3x=63
x=21

dogs: x
dogs: 21

cats: 2x+10
cats: 52

Check answer:
cats+dogs=73
52+21=73

There's no need for a system of linear equations if you were to solve a real life problem like this. In calculus, they don't give a rat about HOW you get your answer to an easy algebra 1 equation, as long as you used one of the correct methods and got the right answer.

Best of luck my friend. :)
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3 years ago
Identify, graph, and state the symmetries for the polar equation r=2+2sintheta.
IRINA_888 [86]

Answer:

Graph = Cardioid

Axis of symmetry = y-axis

Critical points= \frac{\pi}{2} , \frac{3\pi }{2}

Step-by-step explanation:

General equation for this type of cardioid is:

a ± b sinθ

Condition for a cardioid = \frac{a}{b} = 1

Axis of symmerty according to the graph of 2 + 2 sinθ is along y-axis.

Critical points:

r = 2 + 2 sinθ  ⇒ r = 2(1 + sinθ) ⇒ r' = 2 cosθ  

 ∵derivative of 1 + sinθ = cosθ

For finding critical point the derivative is equal to zero,

2 cosθ = 0    ⇒    cosθ = 0

the value of cosθ is equal to zero at intervals: \frac{\pi}{2} , \frac{3\pi }{2}

So, critical points = \frac{\pi}{2} , \frac{3\pi }{2}

3 0
3 years ago
Please help me I need this for tomorrow!!!
Mashcka [7]
Short answer:
25 inches is the perimeter of the larger rectangle



Long answer:
Imagine that you have a rectangle where every single side is 1 inch long. The total perimeter of the card is 4 inches, 1+1+1+1. The total perimeter is 4 inches.

Now imagine that you have a larger rectangle which is 1.25 times as wide and long as the smaller rectangle. In other words each side of the larger rectangle is 1.5 inches long. The perimeter of the larger card is 1.25+1.25+1.25+1.25. Because each 1 in the original equation was multiplied by 1.25. The perimeter of your larger rectangle is 5 inches.

Turn that into an equation. 5 inches equals 4 inches times 1.25. In other words, (larger rectangle perimeter) equals (smaller rectangle perimeter) times 1.25

Plug in numbers. You get (Larger rectangle perimeter) equals 20×1.25. Solve that and you get 25. 25 is the answer
5 0
3 years ago
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