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
Answer:
step by step^^ hope this helps
Answer:
{ 1,2,3,4}
Step-by-step explanation:
The domain of a function is all the inputs
The inputs are { 1,2,3,4}
The domain is { 1,2,3,4}
Answer:
8 (units)
Step-by-step explanation:
The formula to find the area of a triangle is A = 1/2(b*h). Since we know the area already, we can substitute that value in to calculate the answer backwards.
Plug in the numbers known:
A = 100
h = 25
Equation: 100 = 1/2(b*25)
Now solve:
100 = 1/2(b*25)
200 = b * 25
<em>8 = b</em>
So, the answer to your question is 8 (units).
Hope this helps!
Step-by-step explanation:
Linear equations. Make 2 new equations from the question. Name the first number as x and the second as y...
