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strojnjashka [21]
3 years ago
12

An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to care for each dog. Pat noticed the shelter spen

t $89.50 caring for cats and dogs on Wendesday.
A.) Define varaibles and write an equation to represent the possible number of cats and dogs that could have been at the shelter on wendesday.
Mathematics
2 answers:
WINSTONCH [101]3 years ago
7 0
X(2.35)+y(5.50)=$89.50
trasher [3.6K]3 years ago
4 0

Answer:

Equation: 2.35x+5.50=89.50

ANSWER FOR A.) 95.8

Step-by-step explanation:

A.) 2.35×8=18.8

5.50×14=77

18.8×77=95.8

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A metalworker has a metal alloy that is 15​% copper and another alloy that is 60​% copper. How many kilograms of each alloy shou
coldgirl [10]

18 kg of 15% copper and 72 kg of 60% copper should be combined by the metalworker to create 90 kg of 51% copper alloy.

<u>Step-by-step explanation:</u>

Let x = kg of 15% copper alloy

Let y = kg of 60% copper alloy

Since we need to create 90 kg of alloy we know:

x + y = 90

51% of 90 kg = 45.9 kg of copper

So we're interested in creating 45.9 kg of copper

We need some amount of 15% copper and some amount of 60% copper to create 45.9 kg of copper:

0.15x + 0.60y = 45.9

but

x + y = 90

x= 90 - y

substituting that value in for x

0.15(90 - y) + 0.60y = 45.9

13.5 - 0.15y + 0.60y = 45.9

0.45y = 32.4

y = 72

Substituting this y value to solve for x gives:

x + y = 90

x= 90-72

x=18

Therefore, in order to create 90kg of 51% alloy, we'd need 18 kg of 15% copper and 72 kg of 60% copper.

6 0
3 years ago
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lukranit [14]
So first simplify 11/6x into 11x/6. Then -13/10x into -13x/10. So you should now have (-13x/10-11x/4)-3/2. Combine the like terms -13x/10 and -11x/4 to get -81x/20 and then with your left over -3/2= -81x/20-3/2
4 0
3 years ago
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