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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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Sladkaya [172]
180$ hope that helps!
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boyakko [2]

Answer:

Zara ate 50 almonds last week

Step-by-step explanation:

part to whole ratio is 50 : 100

150 divided by 2 is 75

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pls mark brainliest if this helped :)

8 0
2 years ago
Item 12
kozerog [31]

Answer:

The height is 4.472

Step-by-step explanation:

That formula is Heron's formula.

Where "s" is calculated like this:

s = (a + b + c) / 2

In this case:

a = 14

b = 12

c = 6

replacing:

s = (14 + 12 + 6) / 2

s = 16

Now we calculate the area:

A ^ 2 = 16 * (16−14) * (16−12) * (16−6)

A ^ 2 = 1280

A = 35.777

The area of the triangle is:

A = b * h / 2

In this case we will take the base as the longest side of the triangle, that is to say = 14

Thus:

h = A * 2 / b

h = 35.777 * 2/16

h = 4.472

So the height is 4.472

4 0
3 years ago
For which value of Theta is tan Theta equal to sin Theta?<br>A. pi<br>B. pi/2<br>C. pi/4<br>D. pi/6​
AnnyKZ [126]

Answer:

a. pi

Step-by-step explanation:

7 0
3 years ago
8. Hassan made a vegetable salad with 2 3/8 pounds
amm1812

let's convert firstly the mixed fractions to improper fractions and then add up.

\bf \stackrel{mixed}{2\frac{3}{8}}\implies \cfrac{2\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{19}{8}}~\hfill \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\\\ \stackrel{mixed}{2\frac{7}{8}}\implies \cfrac{2\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{23}{8}} \\\\[-0.35em] ~\dotfill

\bf \cfrac{19}{8}+\cfrac{5}{4}+\cfrac{23}{8}\implies \stackrel{\textit{using an LCD of 8}}{\implies \cfrac{(1)19+(2)5+(1)23}{8}}\implies \cfrac{19+10+23}{8} \\\\\\ \cfrac{52}{8}\implies \cfrac{13}{2}\implies 6\frac{1}{2}

5 0
3 years ago
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