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:
±
2
√
2
+
2
Step-by-step explanation:
Your answer is 6 because 6 is the smallest number that is divisible by both 2 and 3
Cost of each shirt bought by Brain = 14.50
Then
Cost of 2 shirts bought by Brain = 2 * 14.50
= 29
Cost of a pair of shoes = 29.99
Total amount spent by Brain before tax = 29 + 29.99
= 58.99
Percentage of sales tax that needs to be paid = 6%
Amount of sales tax that needs to be [paid = (6/100) * 58.99
= 353.94/100
= 3.54
So
the total amount spent by Brain including tax = 58.99 + 3.54
= 62.53
I hope this is the answer you were looking for.
