The binomial expression (x+2) (x+3) can be rewritten by using the distributive laws as x(x+3) + 2(x-3)x(x+2) - 3(x+2)
x(x+3) + 2(x+3)
x(x+3) + 2(x+3)

Let's use algebra to represent the weights of the dog and the cat.

Let D represent the weight of the dog in pounds.

Let C represent the weight of the cat in pounds.

According to the information given:

1. The dog weighs two pounds less than three times the weight of a cat, so we can write this as an equation: D = 3C - 2.

2. The dog also weighs twenty-two pounds more than a cat, so we can write this as another equation: D = C + 22.

Now, we have a system of two equations:

1. D = 3C - 2

2. D = C + 22

To solve for the weights of the dog and the cat, we can set these two equations equal to each other since they both equal D:

3C - 2 = C + 22

Now, let's solve for C (the weight of the cat):

3C - C = 22 + 2

This simplifies to:

2C = 24

Now, divide both sides by 2 to find the value of C (the weight of the cat):

C = 24 / 2

C = 12

So, the weight of the cat is 12 pounds.

Now, we can find the weight of the dog using either of the two original equations. Let's use the second equation:

D = C + 22

D = 12 + 22

D = 34

So, the weight of the dog is 34 pounds.

Therefore, the dog weighs 34 pounds, and the cat weighs 12 pounds.

Answer:

Step-by-step explanation:

Given : A pole 3 m high has a shadow 5 m long

           The shadow of a nearby building is 110 m long.

To Find:  How tall is the building?

Solution:

Let the height of building be x

A pole 3 m high has a shadow 5 m long

The shadow of a nearby building is 110 m long.

Height of pole and length of shadow has direct variation

So, A.T.Q

or

Hence Option C is correct

Answer:

To determine whether someone can solve these questions, we would need to know more about the questions themselves and the person's background in the subject. Without that information, we cannot provide a clear and definitive answer.

Step-by-step explanation:

The question is asking whether someone can solve questions 11, 12, 13, and 14. The answer options are "a) Yes" and "b) No."

In this case, since we don't have any specific questions or information about what the questions are, it is impossible to provide a definitive answer. The answer will depend on the person's knowledge and abilities in the subject.

If the person has the necessary knowledge and skills to solve the questions, then the answer would be "a) Yes." However, if the person does not have the knowledge or skills required to solve the questions, then the answer would be "b) No."

To determine whether someone can solve these questions, we would need to know more about the questions themselves and the person's background in the subject. Without that information, we cannot provide a clear and definitive answer.

Answer:

5/6

Step-by-step explanation:

Answer:

8 4/7

Step-by-step explanation: