Complete Question
A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.
Write and solve an equation to find the weights of the cat and the dog.
Answer:
Weight of cat = x = 12 pounds
Weight of Dog = y = 34 pounds
Step-by-step explanation:
Let's represent:
Weight of cat = x
Weight of Dog = y
A dog weighs 2 pounds less than 3 times the weight of a cat.
y = 3x - 2........ Equation 1
The dog weighs twenty two more pounds than the cat
y = x + 22....... Equation 2
The equation is given as:
y = y
3x - 2 = x + 22
Collect like terms
3x - x = 22 + 2
2x = 24
x = 24/2
x = 12 pounds
Solving for y using any of the equations:
y = 3x - 2
y = 3 × 12 - 2
y = 36 - 2
y = 34 pounds
Therefore:
Weight of cat = x = 12 pounds
Weight of Dog = y = 34 pounds
<em>What is the number sentence for "1 less than n is the sum of z and 2?"</em>
<em> </em>
<em> </em>
❖ First, Notice it says "1 less than n". This expression indicates that
we subtract 1 from n, which looks as follows:-
❖ Now, It also says "the sum of z and 2". This indicates that we add z and
2:-
❖ Now, Combine these two little expressions into one equation:-
<h3>Good luck with your studies.</h3>
#TogetherWeGoFar
<span> x-y+z=
x = 5
y = 3
z = 9
(5) - (3) + (9) =
2 + 9 = 11
11 is the answer.
</span>
Let's take the number as x.
two-fifths of a number = 2x / 5
decreased by 3 = (2x/5) - 3
(2x/5) - 3
(2*25/5) - 3
(2*5) - 3
10 - 3
7
Step-by-step explanation:
