A dog weighs two pounds less than three times the weight of a cat. The dog also weighs twenty-two pounds more than a cat. Write and solve an equation to find the weights of the dog and the cat.

Answers

Answer 1

Answer:

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.

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Answers

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An item regularly priced at $80 is on sale for 20% off. There is a 3% sales tax. What is the sale price before sales tax?

Answers

Answer:

The answer is $64.

Step-by-step explanation:

An item regularly priced at $80 is on sale for 20% off.

This amount becomes:

$0.20*80=16$ dollars

So, price after discount is $80-16=64$ dollars

Given is that there is a 3% sales tax.

So, sales tax must have been applied to $64 before final bill.

And we have to tell the sale price before tax, so the answer is $64.

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Bet ill make u a brilliest if u solve it correctly / pls dont post nontification like" report people who ask for joining meet."A car left Kamloops at 9:00 AM and arrived at Vancouver, 340 km away, at 1:15 PM the same day. What was the average speed of the car in km per hour?

Hint: The average speed in km/h is the total distance in km divided by the total time in hours.

Reminder: Calculators are not allowed.

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75 km/h
80 km/h
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Answers

Answer:

80 km/h

Step-by-step explanation:

From 9:00 am to 1:15 is 4.25 hours.

340 / 4.25 is the average speed.

Without a calculator, we can use long division.

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Answers

Answer:

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Step-by-step explanation:

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27, 33, 36, 66 ?

Answers

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Answers

So we want to know the number of teachers the university should have if the ratio of students to teachers is 14:1 and the number of students is 896. If x is the number of teachers: 14/1=896/x. Now we solve for x: Lets multiply both sides with x: x*(14/1)=896 and divide both sides by 14 and we get: x=896/14 and x=64. So the university should have 64 teachers.

Answer:64

Step-by-step explanation:

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