A rectangular poster is 1/2 yard long and 3/4 yard yall. Avery says the area of the poster is 5/4 square yards. What was Avery's mistake?

To find the area of a rectangle, you multiply the length by the width.

In this case, the length is 1/2 yard and the width is 3/4 yard.
So the area should be (1/2) x (3/4) = 3/8 square yards.

Avery's mistake was that they added the length and width instead of multiplying them.
(1/2) + (3/4) = 5/4, which is the incorrect area Avery calculated.

Mei and Dennis compare the numbers graphed on the number line below. Mei writes the inequality --9<--3. Dennis write the inequaility --3<--9. which statment is true?

The statement "--9<--3" means that a number less than -3 is greater than -9. This is true and can be seen on the number line.

The statement "--3<--9" means that a number less than -9 is greater than -3. This is not true and cannot be seen on the number line.

Therefore, Mei's statement is true and Dennis's statement is false.

Pema's bedroom is 18 feet long and 14 feet wide. She drew the plant below to divide the room into sections. Which shows hot to find the area of the Study Corner?

Since the Study Corner is a triangle, we can use the formula for the area of a triangle:

Area of triangle = (1/2) x base x height

In this case, the base is the shorter side of the triangle, which is 7 feet. The height is the longer side of the triangle, which is 8 feet.

So the area of the Study Corner would be:

Area of Study Corner = (1/2) x 7 feet x 8 feet = 28 square feet

Therefore, the correct answer is option D.

Liv made punch by mixing 2.8 liters of orange juice, 75 liter of pineapple juice, and 1.2 liters and ginger ale. Liv will split the punch equally among 5 containers. How much punch will be in each container?

The total amount of punch Liv made is:

2.8 liters of orange juice + 7.5 liters of pineapple juice + 1.2 liters of ginger ale = 11.5 liters

To find how much punch will be in each container, we need to divide the total amount of punch by the number of containers:

11.5 liters รท 5 = 2.3 liters per container

Therefore, Liv will have 2.3 liters of punch in each of the 5 containers.