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Mia will use one of these boards for the length of the shelter. She knows she wants
the length of the shelter to measure 3.25 feet. She will use a different board for the
width of the shelter. The width of the shelter will be shorter than the length.
Which board will Mia use for the length of the shelter, given that 1 foot = 12 inches?
To find out which board Mia will use for the length of the shelter, we need to know the dimensions of the available boards. Could you please provide the dimensions of the boards she has to choose from?
Mia is building a three-sided shelter for her action figures. The shelter will
resemble a rectangle with one of the long sides removed. She has boards that
measure 36 inches, 39 inches, and 42 inches in length; all the boards are the
same width. Mia will need to convert some of these measurements into other
imperial units to build the shelter the way she wants. Answer the following
questions. Show your work. Record your answers below.
Question 1
Mia will use one of these boards for the length of the shelter. She knows she wants
the length of the shelter to measure 3.25 feet. She will use a different board for the
width of the shelter. The width of the shelter will be shorter than the length.
Which board will Mia use for the length of the shelter, given that 1 foot = 12 inches?
To determine which board Mia will use for the length of the shelter, we need to convert the length of the shelter from feet to inches. Given that 1 foot is equal to 12 inches, we can multiply the desired length of the shelter in feet by 12 to get the length in inches.
Length of the shelter = 3.25 feet * 12 inches/foot
Length of the shelter = 39 inches
From the given board lengths, we can see that Mia has a board that measures 39 inches. Therefore, Mia will use the 39-inch board for the length of the shelter.
What is the width of the shelter, measured in feet?
To find the width of the shelter, we need the dimensions of the available boards. Could you please provide the dimensions of the boards Mia has for the width?
Mia is building a three-sided shelter for her action figures. The shelter will
resemble a rectangle with one of the long sides removed. She has boards that
measure 36 inches, 39 inches, and 42 inches in length; all the boards are the
same width. Mia will need to convert some of these measurements into other
imperial units to build the shelter the way she wants. Answer the following
questions. Show your work. Record your answers below.
What is the width of the shelter, measured in feet?
If the width of the shelter is shorter than the length, we need to determine which board Mia will use for the width. However, without the dimensions of the available boards for the width, I cannot provide an exact answer. Could you please provide the dimensions of the boards Mia has for the width?
i did
Apologies for the confusion. It seems that the dimensions of the available boards for the width were not provided. Without that information, I am unable to calculate the width of the shelter in feet. If you can provide the dimensions of the available boards for the width, I'll be happy to assist you further.
Mia is building a three-sided shelter for her action figures. The shelter will
resemble a rectangle with one of the long sides removed. She has boards that
measure 36 inches, 39 inches, and 42 inches in length; all the boards are the
same width. Mia will need to convert some of these measurements into other
imperial units to build the shelter the way she wants. Answer the following
questions. Show your work. Record your answers below.
this is all the information i can give you
Understood. Since the width dimensions were not provided, we'll assume that Mia will choose one of the boards for the width of the shelter. Let's assume she uses the 36-inch board.
To convert the width from inches to feet, we divide the measurement by 12, since there are 12 inches in a foot.
Width of the shelter = 36 inches / 12 inches/foot
Width of the shelter = 3 feet
Therefore, the width of the shelter, measured in feet, would be 3 feet.
Mia needs to cut the third board to match the width of the shelter. How many feet of
board will she need to cut off the existing board to reach this goal?
To determine how many feet of board Mia needs to cut off to match the width of the shelter, we need to know the length of the third board (42 inches) and the desired width (3 feet). However, if the desired width is already 3 feet and Mia is using the 36-inch board for the width, there is no need to cut off any of the existing board because it already matches the desired width.
Question 2
For the roof of the shelter, Mia has a board that measures 1 square yard, a second
board that measures 3 feet by 3 feet, and a third board that measures 36 inches by
36 inches. Which of these, if any, will cover all the space needed for the roof?
Explain your answer, drawing a picture if necessary.
1 foot = 1/3 of a yard
can you write it like a 7th grader did it
Sure! Let's break it down.
Mia has three boards for the roof:
1. Board 1 measures 1 square yard.
2. Board 2 measures 3 feet by 3 feet.
3. Board 3 measures 36 inches by 36 inches.
To determine which board will cover all the space needed for the roof, we need to find their areas.
1. Board 1:
To find the area, we simply need to know the dimensions of the board. The board measures 1 square yard, which means it covers an area equivalent to a square with sides of 1 yard. Unfortunately, we don't have the exact dimensions of the board's length and width in feet or inches.
2. Board 2:
The board measures 3 feet by 3 feet. To find the area, we multiply the length by the width: 3 feet * 3 feet = 9 square feet.
3. Board 3:
The board measures 36 inches by 36 inches. To find the area, we multiply the length by the width: 36 inches * 36 inches = 1296 square inches. However, we need to convert this to square feet, since the area of the shelter is given in square feet.
Given that 1 foot = 12 inches, we divide the area by 144 (12 inches * 12 inches) to convert to square feet: 1296 square inches / 144 = 9 square feet.
Therefore, both Board 2 and Board 3 have an area of 9 square feet, which would be enough to cover the entire roof space. Board 1 cannot be determined without the exact dimensions.
Question 1
Roger is planning a party. He needs these ingredients in the following quantities to
make punch:
• 2 quarts orange juice
• 3 cups cranberry juice
• 1 gallon ginger ale
• 1 pint pineapple juice
Roger knows he will need a relatively large container to mix the punch.
Unfortunately, all he can find is a bowl that holds 8 liters of liquid. He is not sure
whether he can fit all of the ingredients in the bowl at the same time.
Use the following measurement equivalents to determine if Roger can use the 8-
liter bowl to mix all the ingredients for the punch. Show your work.
If he can use the bowl, he needs to determine how many liters of liquid could still
fit into the bowl. If he cannot use the bowl, he needs to determine how many extra
liters of liquid there are. Round your answers to the nearest tenth of a liter.
1 liter is about 4.23 cups, 2.11 pints, 1.06 quarts, and 0.26 gallons
To determine if Roger can use the 8-liter bowl to mix all the ingredients for the punch, we'll convert the quantities of each ingredient to liters.
Given:
1 liter ≈ 4.23 cups
1 liter ≈ 2.11 pints
1 liter ≈ 1.06 quarts
1 liter ≈ 0.26 gallons
Now let's convert the quantities of each ingredient to liters:
1. 2 quarts orange juice ≈ (2 quarts) * (1.06 liters/quart) ≈ 2.12 liters
2. 3 cups cranberry juice ≈ (3 cups) * (4.23 liters/cup) ≈ 12.69 liters
3. 1 gallon ginger ale ≈ (1 gallon) * (3.79 liters/gallon) ≈ 3.79 liters
4. 1 pint pineapple juice ≈ (1 pint) * (0.47 liters/pint) ≈ 0.47 liters
Now let's sum up the quantities of all the ingredients:
Total quantity of ingredients = 2.12 liters + 12.69 liters + 3.79 liters + 0.47 liters ≈ 19.07 liters
Since the total quantity of all the ingredients is approximately 19.07 liters, which is less than the capacity of the 8-liter bowl, Roger cannot fit all of the ingredients in the bowl at the same time.
To determine the extra liters of liquid, we subtract the total quantity of ingredients from the bowl's capacity:
Extra liters of liquid = 8 liters - 19.07 liters ≈ -11.07 liters
Since the result is negative, Roger doesn't have any extra liters of liquid.
Roger also wants to make sandwiches for his guests. He buys the following
sandwich fillings:
• 1.5 kilograms of turkey
• 1.25 kilograms of beef
• 2.25 pounds of cheese
Roger wants to know if he purchased more turkey or more cheese. Use the
conversion ratio 1 kilogram = about 2.2 pounds to determine the correct answer.
Show your work.
To determine if Roger purchased more turkey or more cheese, we'll convert the quantities of turkey and cheese to the same unit of measurement, either kilograms or pounds. Let's convert both quantities to pounds using the conversion ratio 1 kilogram ≈ 2.2 pounds.
Given:
1 kilogram ≈ 2.2 pounds
Now let's convert the quantities:
1.5 kilograms of turkey ≈ (1.5 kilograms) * (2.2 pounds/kilogram) ≈ 3.3 pounds
2.25 pounds of cheese ≈ 2.25 pounds
Comparing the quantities, we find that:
Turkey: 3.3 pounds
Cheese: 2.25 pounds
Therefore, Roger purchased more turkey (3.3 pounds) than cheese (2.25 pounds).
Roger discovers that he needs to buy some chicken as well. He buys an amount of
chicken that weighs more than the beef he bought and less than the turkey he
bought. Give an amount in pounds that the chicken could weigh, rounded to the
nearest hundredth of a pound.
To find the amount of chicken that Roger bought, we know that it weighs more than the beef (1.25 kilograms) and less than the turkey (1.5 kilograms). Let's convert the weights of the beef and turkey to pounds for comparison.
1.25 kilograms of beef ≈ (1.25 kilograms) * (2.2 pounds/kilogram) ≈ 2.75 pounds
1.5 kilograms of turkey ≈ (1.5 kilograms) * (2.2 pounds/kilogram) ≈ 3.3 pounds
Therefore, the chicken Roger bought weighs more than 2.75 pounds (beef) and less than 3.3 pounds (turkey).
Hence, the amount of chicken could weigh between 2.75 pounds and 3.3 pounds, rounded to the nearest hundredth of a pound.
Roger is curious to know the total weight of all four sandwich fillings he bought. He
weighs it twice, once using ounces and once using grams. If 16 ounces = 1 pound
and 1,000 grams = 1 kilogram, will the total weight of the sandwich fillings be a
greater number of ounces or a greater number of kilograms? Explain your answer.
To determine whether the total weight of the sandwich fillings will be a greater number of ounces or a greater number of kilograms, we need to consider the conversion ratios.
Given:
16 ounces = 1 pound
1,000 grams = 1 kilogram
First, let's convert the weight of the sandwich fillings to ounces:
Total weight in ounces = (1.5 kilograms + 1.25 kilograms + 2.25 pounds) * (16 ounces/pound)
Converting the weights:
1.5 kilograms ≈ 1.5 kilograms * (1,000 grams/kilogram) * (1 ounce/28.35 grams) ≈ 52.91 ounces
1.25 kilograms ≈ 1.25 kilograms * (1,000 grams/kilogram) * (1 ounce/28.35 grams) ≈ 44.09 ounces
2.25 pounds ≈ 2.25 pounds * 16 ounces/pound ≈ 36 ounces
Total weight in ounces = 52.91 ounces + 44.09 ounces + 36 ounces ≈ 133 ounces
Now, let's convert the weight of the sandwich fillings to kilograms:
Total weight in kilograms = (1.5 kilograms + 1.25 kilograms + 2.25 pounds) * (1 pound/2.2 pounds)
Converting the weights:
1.5 kilograms ≈ 1.5 kilograms ≈ 1.5 kilograms
1.25 kilograms ≈ 1.25 kilograms ≈ 1.25 kilograms
2.25 pounds ≈ 2.25 pounds * (1 kilogram/2.2 pounds) ≈ 1.023 kilograms
Total weight in kilograms = 1.5 kilograms + 1.25 kilograms + 1.023 kilograms ≈ 3.773 kilograms
Comparing the two measurements, we find that 133 ounces (weight in ounces) is greater than 3.773 kilograms (weight in kilograms).
Therefore, the total weight of the sandwich fillings will be a greater number of ounces than a greater number of kilograms.
You are visiting one of the following states: Tennessee, Vermont, Wisconsin, or
Wyoming. Each has a state sales tax on most items that are for sale in stores.
While you are visiting, you decide to buy a board game to play with your hosts. The
cost of the game is between $10 and $20, and it is not a whole dollar amount.
Decide the cost of the board game. Write it here: ______
Now choose one of the four states listed above. Write it here: __________________
Use the internet to find the state’s general sales tax. Note that some counties, towns,
or cities may add more to the general sales tax, but you only need the general sales
tax. Write the tax rate here: ________
What is the total cost of the board game, including sales tax? Show your work
I apologize, but as an AI language model, I don't have live access to the internet or real-time data. The state's general sales tax rates can vary over time and may be subject to change. Therefore, I cannot provide you with the specific sales tax rate for a particular state.
To calculate the total cost of the board game, including sales tax, you would need to know the sales tax rate of the chosen state. Once you have the tax rate, you can multiply it by the cost of the board game (between $10 and $20) to calculate the sales tax amount. Finally, you would add the sales tax amount to the cost of the board game to find the total cost.
You can easily find the current sales tax rate for a specific state by searching online or referring to the official website of the state's department of revenue or taxation.