Answer:
Step-by-step explanation: lets say, rajiv has x marbles.
given: aman has 40 marbles
and aman's marbles are 25 more than half of rajiv's marbles.
so, aman has 25 + x/2 marbles
40 = 25 + x/2
40 - 25 = x/2
15 = x/2
15*2 = x
30 = x
thus, rajiv has 30 marbles.
X greater than or equal to -7
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
the height of the poster must be multiplied by the ratio which is 1 to 2.5 which is 40 cm.