Shannon feeds her cat twice a day. In the morning, she feeds her cat one can of cat food. In the evening, she feeds her cat one and a half cans of cat food. Shannon’s cat eats 10 ounces of cat food a day. Write and solve an equation to find out how much cat food, in ounces, each can of cat food holds. Respond in the space provided.

Each can of cat food holds 4 ounces.

Step-by-step explanation:

⇒ x + 1.5x = 10

⇒ 2.5x = 10

∴ x = 10/2.5 = 4 ounces

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!