1. a moving company weighs 20 boxes you have packed that contain either books or clothes and says the total weight is 404 pounds. you know that a box of books weighs 40 pounds and a box of clothes weighs 7 pounds. Write and solve an equation to find how many boxes of books and how many boxes of clothes you packed.
2. the formula for the volume of a cone is 1/3 π r^2 h. Rewrite the formula for h and then use your calculator to complete the table for the height if the volume is 100 cu.cm.
3 solve for x. check your solution. show work
2/3|4x-3|=2=2x
2. the formula for the volume of a cone is 1/3 π r^2 h. Rewrite the formula for h and then use your calculator to complete the table for the height if the volume is 100 cu.cm.
3 solve for x. check your solution. show work
2/3|4x-3|=2=2x
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1. Let b=boxes of books and c=boxes of clothes
b+c=20 (20 boxes of books AND clothes)
40b+7c=404 (404 pounds of books and clothes. Each box of books is 40 pounds. Each box of clothes is 7 pounds.)
Use substitution or elimination to solve this system. I'll use substitution. ("=>" means "implies")
b=20-c
40(20-c)+7c=404 => 800-40c+7c=404 => 33c=396 => c=12
Substitute c back in the first equation:
b+12=20 => b=8
8 boxes of clothes
12 boxes of books
2. Rewrite for h:
V=(1/3)(pi)(r^2)(h) => h=V/[(1/3)(pi)(r^2)] I'm not sure what the rest of the question is asking for. To find the height of a cone, you need both the volume and the radius...
3. You must have copied this down wrong. It is a false statement. 2=2x => x=1 However, (2/3)|4-3|=2/3 and not 2
b+c=20 (20 boxes of books AND clothes)
40b+7c=404 (404 pounds of books and clothes. Each box of books is 40 pounds. Each box of clothes is 7 pounds.)
Use substitution or elimination to solve this system. I'll use substitution. ("=>" means "implies")
b=20-c
40(20-c)+7c=404 => 800-40c+7c=404 => 33c=396 => c=12
Substitute c back in the first equation:
b+12=20 => b=8
8 boxes of clothes
12 boxes of books
2. Rewrite for h:
V=(1/3)(pi)(r^2)(h) => h=V/[(1/3)(pi)(r^2)] I'm not sure what the rest of the question is asking for. To find the height of a cone, you need both the volume and the radius...
3. You must have copied this down wrong. It is a false statement. 2=2x => x=1 However, (2/3)|4-3|=2/3 and not 2
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b+c=20
40b+7c=404
b=8
c=12
2. the formula for the volume of a cone is 1/3 π r^2 h. Rewrite the formula for h and then use your calculator to complete the table for the height if the volume is 100 cu.cm.
h=3V/(π r^2)
2/3|4x-3|=2x
x=(3/7) or x=3
40b+7c=404
b=8
c=12
2. the formula for the volume of a cone is 1/3 π r^2 h. Rewrite the formula for h and then use your calculator to complete the table for the height if the volume is 100 cu.cm.
h=3V/(π r^2)
2/3|4x-3|=2x
x=(3/7) or x=3