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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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Stock worth $80 a share dropped in value by 15% on Tuesday, then increased by $7 the next Wednesday and, finally, increased by 1
Nutka1998 [239]
<h2>Steps</h2>

So here are a couple expressions when a value changes by percentage (p = percentage in decimal form and m = original value):

  • When <em>decrease</em>: (1 - p)m
  • When <em>increase</em>: (1 + p)m

So firstly, the $80 share dropped by 15%. Since this is a <em>decrease</em>, follow the appropriate expression:

15\%=0.15\\\\(1-0.15)*80\\0.85*80\\68

<em>On Tuesday, the share went from $80 to $68</em>

Next, on Wednesday the share increased by $7. With this, just add $68 and 7.

68+7=75

<em>On Wednesday, the share went from $68 to $75</em>

Lastly, on Thursday the share increased by 12%. Since this is an <em>increase</em>, follow the appropriate expression:

12\%=0.12\\\\(1+0.12)*75\\1.12*75\\84

<h2>Answer</h2>

<u>The final price of the share is $84.</u>

7 0
3 years ago
Given that у=6 cm and θ=15 °, work out x rounded to 1 decimal place.
Lubov Fominskaja [6]
Sin(15)=6/x
x=6/sin(15)
x=23.2°
7 0
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Which terms are properties of mathematical proofs?
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Darren has gotten 2 offers for jobs in the alternative energy industry. offer #1 pays $31,000 per year with 2,000 raise each yea
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Answer: Darren


A) Job Offer #1 would be better financially until job offer 2 (in 12 years) would be a better and have more income, so IMO job offer #1 would set you better off financially


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6 0
3 years ago
An integer is 5 more than 4 times another. If the product of the two integers is 51, then find the integers.
Yakvenalex [24]

Answer:

  • <u>3 </u><u>and</u><u> 17</u> are required integers

Step-by-step explanation:

  • Let one integer be x
  • And other integer be y

x = 4y + 5

xy = 51

<u>According to </u><u>question </u><u>:</u>

➞ (4y + 5)y = 51

➞ 4y² + 5y = 51

➞ 4y² + 5y - 51 = 0

➞ 4y² + 17y - 12y - 51 = 0

➞ y (4y + 17) - 3(4y + 17) = 0

➞ (y - 3)(4y - 17) = 0

➞ y - 3 = 0

➞ <u>y = 3</u>

Hence,

➞ <u>y = 3</u>

➞ x = 4y + 5

➞ x = 4 (3) + 5

➞ x = 12 + 5

➞<u> </u><u>x = 17</u>

∴ The required integers are <u>3 and 17</u>

7 0
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