day 4\n1. jake drew a parallelogram with the dimensions shown.\nwhat is the area of jakes parallelogram?\n2…

day 4\n1. jake drew a parallelogram with the dimensions shown.\nwhat is the area of jakes parallelogram?\n2. the list below shows the age, in years, of each member of the williams family.\n2, 5, 6, 15, 36, 39\nwhat is the range of their ages?\n3. a group of 10 science club students is on a field trip. that number of students represents 20% of the total number of students in the science club. what is the total number of students in the science club?\n4. darren has $\frac{2}{3}$ - gallon of paint. he wants to divide the paint evenly between 5 containers. how much paint, in gallons, will be in each container?\n5. a cabinet is in the shape of a rectangular prism. the height of the cabinet is 2 yards. the dimensions of the base of the cabinet are shown in this diagram.\nwhat is the volume, in cubic yards, of the kitchen cabinet?\na. $\frac{2}{9}$\nb. $\frac{3}{6}$\nc. $\frac{4}{9}$\nd. $2\frac{2}{9}$\n6. which value of $p$ makes the equation true?\n$5p - 10 = 5$\na. 1\nb. 3\nc. 5\nd. 7\n7. josh pays $4.20 for a 15 - ounce bag of candy. how much does he pay per ounce of candy?

day 4\n1. jake drew a parallelogram with the dimensions shown.\nwhat is the area of jakes parallelogram?\n2. the list below shows the age, in years, of each member of the williams family.\n2, 5, 6, 15, 36, 39\nwhat is the range of their ages?\n3. a group of 10 science club students is on a field trip. that number of students represents 20% of the total number of students in the science club. what is the total number of students in the science club?\n4. darren has $\frac{2}{3}$ - gallon of paint. he wants to divide the paint evenly between 5 containers. how much paint, in gallons, will be in each container?\n5. a cabinet is in the shape of a rectangular prism. the height of the cabinet is 2 yards. the dimensions of the base of the cabinet are shown in this diagram.\nwhat is the volume, in cubic yards, of the kitchen cabinet?\na. $\frac{2}{9}$\nb. $\frac{3}{6}$\nc. $\frac{4}{9}$\nd. $2\frac{2}{9}$\n6. which value of $p$ makes the equation true?\n$5p - 10 = 5$\na. 1\nb. 3\nc. 5\nd. 7\n7. josh pays $4.20 for a 15 - ounce bag of candy. how much does he pay per ounce of candy?

Answer

Explanation:

Step1: Find area of parallelogram

The base of the parallelogram is (3 + 6=9) inches and height is 8 inches. Using the formula (A = b\times h), we have (A=9\times8 = 72) square - inches.

Step2: Find range of ages

The range is calculated by subtracting the smallest value from the largest value. The smallest age is 2 and the largest is 39. So, range (=39 - 2=37) years.

Step3: Find total number of Science - Club students

Let the total number of students be (x). We know that (10 = 0.2x). Solving for (x), we divide both sides by 0.2: (x=\frac{10}{0.2}=50) students.

Step4: Divide paint

Darren has (\frac{2}{3}) gallon of paint and wants to divide it among 5 containers. So, the amount in each container is (\frac{2}{3}\div5=\frac{2}{3}\times\frac{1}{5}=\frac{2}{15}) gallons.

Step5: Find volume of cabinet

The volume of a rectangular prism is (V = l\times w\times h). Here, (l=\frac{2}{3}) yard, (w = \frac{1}{3}) yard, and (h = 2) yards. So, (V=\frac{2}{3}\times\frac{1}{3}\times2=\frac{4}{9}) cubic yards. The answer is C.

Step6: Solve the equation

For the equation (5p−10 = 5), first add 10 to both sides: (5p=5 + 10=15). Then divide both sides by 5: (p=\frac{15}{5}=3). The answer is B.

Step7: Find cost per ounce

Josh pays $4.20 for a 15 - ounce bag of candy. The cost per ounce is (\frac{4.20}{15}=0.28) dollars per ounce.

Answer:

  1. 72 square inches
  2. 37 years
  3. 50 students
  4. (\frac{2}{15}) gallons
  5. C. (\frac{4}{9})
  6. B. 3
  7. $0.28 per ounce