A veterinary office is treating dogs and cats. There are 15 more cats than dogs. Altogether, there are 45 animals.Let c represent the number of cats and d represent the number of dogs. The following system of equations represents the situation:

d+c=45

c=d+15

How many cats and dogs are in the clinic?

ignore last question, it was worded wrong. please help!

Answers

Answer 1

Answer: 30 cats and 15 dogs.

Answer 2

Answer: There's 30 cats and 15 dogs

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If you flip three fair coins what is the probability that the two first flips will both be heads, and the third flip will be either heads or tales?

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Answer:

The probability that a coin flip is a head or a tail is 0.5. The probability that a coin flip is either a head or a tail is 1. The probability that a three-coin-flip is two heads and a head or a tail is 0.25.

Step-by-step explanation:

Factorising quadratics

X squared + 5x -6
X squared - 2x15
X squared -7x +12

Answers

Answer:

(x -1)(x +6)
(x -5)(x +3)
(x -4)(x -3)

Step-by-step explanation:

In each case, you're looking for divisors of the constant that have a sum equal to the x-coefficient. Those divisors are the constants in the binomial factors.

1) -6 = -1·6 = -2·3 . . . . . (-1)+(6) = 5, so these are the constants of interest.

x^2 +5x -6 = (x -1)(x +6)

2) -15 = -1·15 = -3·5 = -5·3 . . . . . (-5)+(3) = -2, so these are the constants of interest

x^2 -2x -15 = (x -5)(x +3)

3) 12 = -1·-12 = -2·-6 = -3·-4 . . . . . (-3) +(-4) = -7, so these are the constants of interest

x^2 -7x +12 = (x -3)(x -4)

I have 1/2-1/7 and3/5-1/2

Answers

$(1)/(2)-(1)/(7)=\ \ \ | make\ common \denominator\n\n(7)/(14)-(2)/(14)=(7-2)/(14)=(5)/(14)\n\n(3)/(5)-(1)/(2)= \ \ \ | make\ common \denominator\n\n (6)/(10)-(5)/(10)=(1)/(10)$

1/2 - 1/7 = 7/14 - 2/14 = 5/14
3/5 - 1/2 = 6/10 - 5/10 = 1/10

This is like so hard to me i do not get it at all!

Answers

If u don't get it, go back and do some practice problems they have in the lesson. (I am in K12 too, that's wat I do. Sometimes I even do practice problems in the middle of the test.)

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