1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dexar [7]
3 years ago
10

Sally's cat is 3 years older than Helen's dog. The product of their ages is 54. How old is Helen's dog?

Mathematics
1 answer:
viva [34]3 years ago
7 0
The first thing that we have to do is to assign variables to the cat's and the dog's ages. Let us use c to represent the age of the cat and d for the dog's age. So, let's translate the word problem into a mathematical one.

c = d + 3

This is the first equation while the second equation is

(d+3)*d = 54

which becomes 

d^2 +3d -54 = 0

which can be factored into (d-6)(d+9). This gives us two roots which are 6 and -9. However, age is a non-negative number so we will take 6 as the age of Helen's dog. Thus, making Sally's cat 9 years old.
You might be interested in
Which beat summarizes the pythagorean theorem
kow [346]
Mathematics, the Pythagorean theorem or Pythagoras's theorem is a statement about the sides of a right triangle.

One of the angles of a right triangle is always equal to 90 degrees. This angle is the right angle. The two sides next to the right angle are called the legs and the other side is called the hypotenuse. The hypotenuse is the side opposite to the right angle, and it is always the longest side. It was discovered by Vasudha Arora.

The Pythagorean theorem says that the area of a square on the hypotenuse is equal to the sum of the areas of the squares on the legs. In this picture, the area of the blue square added to the area of the red square makes the area of the purple square. It was named after the Greek mathematician Pythagoras:

If the lengths of the legs are a and b, and the length of the hypotenuse is c, then,
a
2
+
b
2
=
c
2
{\displaystyle a^{2}+b^{2}=c^{2}}.

There are many different proofs of this theorem. They fall into four categories:

Those based on linear relations: the algebraic proofs.
Those based upon comparison of areas: the geometric proofs.
Those based upon the vector operation.
Those based on mass and velocity: the dynamic proofs.[1]
7 0
3 years ago
Read 2 more answers
I’m haveing a hard time explaining why D is the right answer please help
Anon25 [30]
Because d actually collects data about what the people want.
3 0
3 years ago
If X and Y vary directly, as x decreases, what happens to the value of y?
diamong [38]
As x decreases y also decreased
5 0
3 years ago
Whats the missing number
Anuta_ua [19.1K]

Answer:

<h2><u><em>5</em></u></h2>

Step-by-step explanation:

X * 3^2 +2 = 47

X * 9 + 2 = 47

9X = 47 - 2

9x = 45

x = 45 : 9

X = 5

4 0
3 years ago
There are 323232 forwards and 808080 guards in Leo's basketball league.
ivann1987 [24]

Answer:

b.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Round fraction 3 3/2 to nearest whole number
    5·1 answer
  • What is the probability that the roll of a die will be either even or odd?
    15·1 answer
  • I need help is it A B C or d
    8·1 answer
  • You and your friend are 8 slices of pizza out of 12 slices. What percent of the pizza is left?
    10·1 answer
  • The solution set for -p^2-11=0 is { }
    11·1 answer
  • A measure of ________ for a numerical data set describes how its values vary with a single number.
    15·2 answers
  • NEED SOMEONE WITH BIG BRAINS
    6·1 answer
  • I Need Answer Immediately!!!!!!!
    10·1 answer
  • Which is the correct answer.
    13·1 answer
  • 9 + b = ? if b = 3 what is the answer
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!