Randy is building a cube-shaped doghouse with four faces. He is leaving one face open as a door, and one face open to the ground. The doghouse will be 4 feet long. What is the total surface area of the walls and the top of the doghouse?Be sure to include the formula for surface area.

Show how to modify the forumla for surface area to meet the needs of this problem.

Show all of your work, including your final answer with the correct units

Answers

Answer 1

Answer: Total suface area of a cube = $6 a^(2)$ , where a is the length of the cube.
Here, two faces will be left open, which reduces the formula to
total surface area = $4 a^(2)=4(4)^(2)=4* 16=64$ square feet

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If nCr : (n+1)Cr : (n+2)Cr = 1:3:7, find the values of n and r.

Answers

Answer:

r=4, n=5

Step-by-step explanation:

Naomi's pedometer recorded 43,498 steps in one week. Her goal is 88,942 steps. Naomi estimate she has about 50,000 more steps to meet her goal. Is Naomi's estimate reasonable?

Answers

yes it is not because 40 thousand + 5 thousand = 90,000 which is close to her goal

the pizza slice served at O'Connor's pizza place are 1/4 of a whole pizza. There are three pizzas ready to be served. 14 children come in for lunch. Is there enough pizza for every child? please explain your thinking, LOL PLZ HELP WITH MY MATH HOMWORK? THX 12 POINTS

Answers

No there will not be enough. Think about it this way. If each slice is 1/4 of the pizza, then each pizza can only feed 4 people. If you have 3 of these pizzas, then you can feed 12 people at most. Since there are 14 kids, you won't have enough.

4 pieces/1 pizza= x pieces/3 pizzascross multiplyx= 12 piecesnot enoughhope this helps

the length of a rectangle is 5 less than 3 times the width. the perimeter is 150 centimeters. what is the length and width?

Answers

The lenght: x
The width: y
x = 3y-5 (cm)
x + y = 150/2 = 75 (cm)
=> 3y-5+y = 75
=> 4y = 80
=> y = 20 (cm)
=> x = 3×20-5 = 55 (cm)

Hannah buys 2 1/2 pounds of dried fruit for $1.50. How much is she paying for one pound of dried fruit

Answers

she is paying .60/lb

I think she is paying 60/ lb

Hope this helps

Solve the equation below

Answers

1/3(12+x) = -8 (6-x)

Distribute the 1/3 and the -8 through their parentheses

4 + 1/3x = -48 + 8x

subtract 4 from each side

1/3x = -52 + 8x

subtract 8x from each side

1/3x - 8x = -52

combine like terms

1/3x - 24/3x = -52
-23/3x = -52

divide each side by -23/3 (multiply the reciprocal of the divisor)

x = -52 × -3/23
x = 156/23

x = 6 18/23 or 6.78

(1/3)(12+x)=(-8)(6-x)
(1/3)*12 + (1/3)*x = -8*6 - (-8)*x
4 + 1/3x = -48 + 8x
1/3x - 8x = -48 - 4
-23/3x = -52
x = 156/23

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