Mr. Yamamoto has a piece of plywood that is 15 1/2 ft. long and 12 3/4 ft. wide. He needs to cut the wood into 12 pieces for the students in his carpentry class. Mr. Yamamoto cuts the length into 4 equal pieces and the width into 3 equal pieces. What are the dimensions of each piece? Express the answers in simplest form. (1 point)
inches long;
inches wide
To find the dimensions of each piece, we need to divide the length and width of the plywood by the number of pieces each dimension is being cut into.
The length of the plywood, 15 1/2 ft, is being cut into 4 equal pieces.
To find the length of each piece, we divide 15 1/2 by 4:
15 1/2 ÷ 4 = 15.5 ft ÷ 4 = 3.875 ft
So each piece will be 3.875 ft long.
The width of the plywood, 12 3/4 ft, is being cut into 3 equal pieces.
To find the width of each piece, we divide 12 3/4 by 3:
12 3/4 ÷ 3 = 12.75 ft ÷ 3 = 4.25 ft
So each piece will be 4.25 ft wide.
WRONG
Apologies for the incorrect response. Let's calculate the correct dimensions.
The length of the plywood is 15 1/2 ft, and it needs to be cut into 4 equal pieces.
To find the length of each piece, we divide 15.5 ft by 4:
15 1/2 ft ÷ 4 = 3 7/8 ft
So each piece will be 3 7/8 ft long.
The width of the plywood is 12 3/4 ft, and it needs to be cut into 3 equal pieces.
To find the width of each piece, we divide 12.75 ft by 3:
12 3/4 ft ÷ 3 = 4 1/4 ft
So each piece will be 4 1/4 ft wide.
THANKS
Siobhan is making banana pudding. The recipe calls for 214 cups of heavy whipping cream and 1412 ounces of sweetened condensed milk. The recipe makes 12 servings; Siobhan wants to reduce the recipe so that it only makes 4 servings. How much milk and cream will she need? Express the answers in simplest form.(1 point)
cups of cream;
ounces of milk
To find the amount of cream and milk needed for 4 servings, we need to divide the original amounts by 12 (original number of servings) and then multiply by 4 (new number of servings).
First, let's calculate the amount of cream needed:
214 cups ÷ 12 servings = 17.83 cups per serving
17.83 cups per serving x 4 servings = 71.32 cups
So, Siobhan will need approximately 71.32 cups of cream for 4 servings. (Note: It's not possible to get an exact fraction for this answer because the original amount is not evenly divisible by 12)
Next, let's calculate the amount of milk needed:
1412 ounces ÷ 12 servings = 117.67 ounces per serving
117.67 ounces per serving x 4 servings = 470.69 ounces
So, Siobhan will need approximately 470.69 ounces of milk for 4 servings. (Note: It's not possible to get an exact fraction for this answer because the original amount is not evenly divisible by 12)
HELLO WRONG
Apologies for the incorrect response. Let's calculate the correct amounts.
To reduce the recipe from 12 servings to 4 servings, we need to divide the original amounts by 12 and then multiply by 4.
For the cream:
214 cups ÷ 12 servings = 17.833 cups per serving
17.833 cups per serving x 4 servings = 71.332 cups
So, Siobhan will need approximately 71.332 cups of cream for 4 servings.
For the sweetened condensed milk:
1412 ounces ÷ 12 servings = 117.667 ounces per serving
117.667 ounces per serving x 4 servings = 470.668 ounces
So, Siobhan will need approximately 470.668 ounces of sweetened condensed milk for 4 servings.
Siobhan is making banana pudding. The recipe calls for 2 1/4 cups of heavy whipping cream and 14 1/2 ounces of sweetened condensed milk. The recipe makes 12 servings; Siobhan wants to reduce the recipe so that it only makes 4 servings. How much milk and cream will she need? Express the answers in simplest form.(1 point)
cups of cream;
ounces of milk
To find the amount of cream and milk needed for 4 servings, we need to divide the original amounts by 12 (original number of servings) and then multiply by 4 (new number of servings).
For the cream:
2 1/4 cups ÷ 12 servings = 3/8 cup per serving
3/8 cup per serving x 4 servings = 1 1/2 cups
So, Siobhan will need 1 1/2 cups of heavy whipping cream for 4 servings.
For the sweetened condensed milk:
14 1/2 ounces ÷ 12 servings = 1 3/4 ounces per serving
1 3/4 ounces per serving x 4 servings = 7 ounces
So, Siobhan will need 7 ounces of sweetened condensed milk for 4 servings.