An animal shelter spends $1.50 per day to care for each bird and $8.50 per day to care for each cat. Alexander noticed that the shelter spent $108.00 caring for birds and cats on Tuesday. Alexander found a record showing that there were a total of 30 birds and cats on Tuesday. How many birds were at the shelter on Tuesday?

Answers

Answer 1

Answer:

Answer:

21 birds.

Step-by-step explanation:

Let B represent the number of birds and C represent the number of cats.

We have been given that an animal shelter spends $1.50 per day to care for each bird, so the amount spent on B birds will be 1.50B.

The animal shelter spends $8.50 per day to care for each cat, so the amount spent on C cats will be 8.50C.

Alexander noticed that the shelter spent $108.00 caring for birds and cats on Tuesday. We can represent this information in an equation as:

$1.50B+8.50C=108...(1)$

Alexander found a record showing that there were a total of 30 birds and cats on Tuesday. We can represent this information in an equation as:

$B+C=30...(2)$

We will use substitution method to solve system of linear equations.

From equation (2) we will get,

$C=30-B$

Substituting this value in equation (1) we will get,

$1.50B+8.50(30-B)=108$

$1.50B+255-8.50B=108$

$255-7B=108$

Let us subtract 255 from both sides of our equation.

$255-255+7C=108-255$

$-7B=-147$

Let us divide both sides of our equation by -7.

$(-7B)/(-7)=(-147)/(-7)$

$B=21$

Therefore, there were 21 birds at the shelter on Tuesday.

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Answers

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A cylindrical water bottle with a height of 20 cm and diameter of 5.5 cm is filled with water until it is full. Vincent wants to transfer the water in the bottle into a cubic container. State the minimum length of a side of the cube. Can anyone help to explain this question for me?

Answers

Step-by-step explanation:

the volume of a cylinder is

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the ground area is a circle, and the area of a circle is

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Answers

Answer:

the answer is 1/2

Step-by-step explanation:

i solved it

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Answers

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Emilee put 3000 in a 2 year cd paying 4% interest, compounded monthly. After 2 years, she withdrew all her money. What was the amount of the withdrawal?

Answers

Answer:

3249.43

Step-by-step explanation:

The monthly compound interest can be determined from the following formula:

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Where A is the final amount after interest, P is the intital amount invested, r is the interest rate, n is number of times interest is compounded per year, and t is the time in years.

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∴ $A=3000*(1+0.04/12)^(12*2)=3249.43$

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=3,249.43

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