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Natalka [10]
3 years ago
9

The two way table represents data from a survey asking schoolchildren whether

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0
42 students attend camp and swimming lessons out of 96 total 

42/96= 44%
You might be interested in
There are 48 pounds of apples in a bushel. if apple pickers pick 320 pounds of apples, how many bushels are there and how many p
madam [21]
320/48 

6 bushels with 32 pounds left over. 
8 0
3 years ago
Mr. Jacobs has 5 math classes. He teaches a total of 30 boys and 45 girls.
Katyanochek1 [597]

Answer:

30 :75

Step-by-step explanation:

8 0
3 years ago
-6x+6y=6<br> - 6x+3y=-12 also steps on how to solve it
Masja [62]

Answer:

x=5, y=6. (5, 6).

Step-by-step explanation:

-6x+6y=6

-6x+3y=-12

---------------

simplify -6x+6y=6 into -x+y=1 and y=1-(-x)=1+x

-6x+3(1+x)=-12

-6x+3+3x=-12

-3x=-12-3

-3x=-15

3x=15

x=15/3

x=5

-6(5)+6y=6

-30+6y=6

6y=6-(-30)

6y=6+30

6y=36

y=36/6

y=6

3 0
3 years ago
I am redesigning a rectangular prism in geometry where I have to minimize the surface area while maintaining the same volume. I
Romashka [77]

Strategy:

You will need to make use of the formulas for volume and area of the shapes you have chosen.

... volume of a sphere = (4/3)πr³

... area of a sphere = 4πr²

You will have to use the volume equation to find the radius of the sphere with the desired volume. Then use the area formula to verify the area is smaller than for your rectangular prism. (A sphere has the smallest surface area for a given volume of any figure.)

___

For your pyramid, it's a bit more complicated. You can use the formula for volume to find a relationship between the side length and the height. Then you can solve for height and put that expression into the equation for surface area. Now, you have an equation for surface area as a function of side length, which you can use to choose side lengths that give surface area in the range you want. You may find a graphing utility to be helpful for this.

... volume of a pyramid = (1/3)b^2h . . . . . b is the edge length of the base; h is the verical height.

... area of a pyramid = b^2 + 2bs, where s is the slant height: s=√((b/2)^ +h^2)

___

The cylinder is solved essentially the same way the pyramid is solved, except the formulas are slightly different.

... volume of a cylinder = πr²h

... area of a cylinder = 2πr² + 2πrh

Numbers:

If I did it right, a pyramid with a base edge length of 4 or 5 inches (or somewhere between) should give a smaller surface area for the volume you want.

For the cylinder, the radius may be around 2 or 2.1 inches.

5 0
3 years ago
Vada places a box of toys and a box of books together. The box of toys has a length of 5 feet, a width of 3 feet, and a height o
Elena L [17]

Answer:

78 ft³

Step-by-step explanation:

<u />

Volume of a rectangular prism = length × width × height

<u />

<u>Toy Box</u>

  • length = 5 ft
  • width = 3 ft
  • height = 2ft

⇒ volume = 5 × 3 × 2 = 30 ft³

<u>Book Box</u>

  • length = 6 ft
  • width = 4 ft
  • height = 2 ft

⇒ volume = 6 × 4 × 2 = 48 ft³

Total combined volume = 30 + 48 = 78 ft³

7 0
2 years ago
Read 2 more answers
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