cionarch1 234 5Student can enter max 3000 charactersG BI UThe two prisms below are similar. The ratio of the areas of the bases of the prisms is Calculate the ratio of theheights of the prisms and the volumes.44O2MדוΩC5Use the paperclip button below to attach files.слof 5

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Answered: The two prisms below are similar. The…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter6: Ratio, Proportion, And Probability

Section6.2: Writing And Solving Problems

Problem 31E

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Enclosing a field You have 16 miles of fence that you will use to enclose a rectangle field. a.Draw a picture to show that you can arrange the 16 miles fence into a rectangle of width 3 miles and length 5 miles. What is the area of this rectangle? b.Draw a picture to show that you can arrange the 16 miles fence into a rectangle of width 2 miles and length 6 miles. What is the area of this rectangle? c.The first two parts of this exercise are designed to show you that you can get different areas for the rectangle of the sane perimeter, 16 miles. In general, if you arrange the 16 miles of fence into a rectangle of width w miles, then it will enclose an area of A=w8-w square miles. iMake a graph of the area enclosed as a function of w, and explain what the graph is showing. iiWhat width w should you use to enclose the most area? iiiWhat is the length of the maximum-area rectangle that you made, and what kind of figure do you have?
A cement mixture calls for 30 pounds of cement for 3 gallons of water. What is the ratio of water to cement? Insert >, < , or = as appropriate in the expression. 14/15, 56/29 A moderately active 140-pound person will use 2,100 calories per day to maintain that body weight. How many calories per day are necessary to maintain a moderately active 160-pound person? The pitch of a roof is the ratio of the rise to the half-span. If a roof has a rise of 32 feet and a span of 40 feet, what is the pitch? A cement mixture calls for 54 pounds of cement for 3 gallons of water. What is the ratio of cement to water?
1. Julie is confused about why we multiply by 3 to convert 6 yards to feet. She thinks weshould divide by 3 because feet are smaller than yards.a. Make a math drawing to show how yards and feet are related. Take care that yourdrawing accurately portrays length as a one-dimensional, not a two-dimensional,attribute. Use your drawing and what multiplication means to explain why wemultiply by 3 to convert 6 yards to feet. b. Discuss the relationship between the size of a unit and the number of units it takes todescribe the length of an object. c. Try to think of other ways to discuss conversions. What problems or questions couldyou pose?
You’ll be serving 325 guests Brown Rice Pilaf. You know that 1 ounce of raw rice, when cooked, will produce 1 serving. (Ratios to answer this question can be found in Chapter 15) RATIO = 1 part rice 2.5 part liquid a. How many pounds of raw rice do you need? ( Truncate at 4 decimal places; Example: 0.2987659 = 0.2987) I got 20.3125 pounds of raw rice but need help converting pounds to gallons to get question b... b. How many gallons of liquid do you need? ( Truncate at 4 decimal places; Example: 0.2987659 = 0.2987)
1. There are 74 men, 64 women and 36 children at a party. Find the ratio (simplest form) of the number of children to the total number of people at the party. 2. Rodrigo works on his project for 38minutes every three hours. Michael work on his project for 30minutes every 2 hours. If each works at this same speed, who will finish the project first. 3. A telecom company estimates that 5 people send 1,000 text messages in a month. How many text message will 32 people send in a month.
The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an identical height. Which of the following statements accurately describe the relationship between the volumes of the prism and the cylinder? Select all that apply. Group of answer choices The volumes of both solids are measured in square units because each has a volume equal to the sum of the areas of its bases. The volume of the prism is the product of three dimensions, while the volume of the cylinder is the product of two dimensions. The volume of the prism is equal to the volume of the cylinder because the solids have identical base areas and identical heights. The volume of each solid can be found by multiplying the area of its base by its height.
5 : 6 = 12.5 : 15 Scale factor = ______
13. The construction crew for a new house will dig a hole in the shape of a rectangular prism for the house's foundation. The hole will be 48ft long, 39ft wide, and 9ft deep. To haul away all of the dirt from the hole, a dump truck will take trips to a nearby landfill. The crew knows the amount of dirt the truck can hold each trip in cubic yards. (a) Find the volume of dirt that will be hauled away in cubic yards. Use the table of conversion facts, as needed. yd3 (b) Each trip, the truck can haul away 11yd3 of dirt. To save gas, the crew wants to take as few trips as necessary to haul all of the dirt away. Since all of the dirt needs to be hauled away, the crew might have to take a partial load for one trip. How many trips are needed to haul away all of the dirt? Count each trip it makes the same, even if the truck isn't full. trips (c) If it costs $1175 for each trip that the truck makes, how much will it cost to haul away all the dirt? $
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The two prisms below are similar. The ratio of the areas of the bases of the prisms is Calculate the ratio of the heights of the prisms and the volumes. 40 lin button below to attach files.