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yaroslaw [1]
3 years ago
10

your school is setting up a row of 5 tables for a craft fair. each table is 72 inches long. the space between each pair of neigh

boring tables must be 48 inches. write and evaluate an expression to find the length of the space needed for the tables from the beginning of the first table to the end of the last table.
Mathematics
2 answers:
juin [17]3 years ago
6 0

The total space needed is 600 feet. Because 5 tables times 72 feet is 360 and 5 tables times 48 feet a part is 249. You add them and it comes out to be 600. It should be worked out like this 5(72+48)

EastWind [94]3 years ago
4 0

Okay assuming I understand the question right, there are 5 tables running 72 inches long with 48 inches in between. If x is a table, and o is space, how can we arrange 5 x's with a space in between? xoxoxoxox. Note how we only use 4 o's for 5x's. We don't need space outside of the tables, just in between them.

With this, let's do some math. If we have 5 x's, that's 5 tables, which means that our length from the tables are going to be 5*72=360 inches.

We have 4 spaces, at 48 inches each is going to take up 4*48=192

Adding up both, 192+360=552 inches.

552 inches of length is needed.

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I "estimate" 600....?


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3 years ago
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The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?
Aleksandr [31]

ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

Volume =  \frac{1}{3}  \times \pi {r}^{2} h

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

2279.64=  \frac{1}{3}  \times (3.14) \times {r}^{2}  \times 18

2279.64= 18.84 {r}^{2}

{r}^{2}  =  \frac{2279.64}{18.84}

{r}^{2}  = 121

We take positive square root to get;

r =  \sqrt{121}

r = 11in

Therefore the diameter is 2(11) which is equal to 22 inches.

5 0
3 years ago
Juan and his father went on a driving trip.
Jet001 [13]

Answer:

162

Step-by-step explanation:

260/2=130

130+32=162

8 0
3 years ago
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The surface of a rectangular table has an area of 8 square feet and a perimeter of 12 feet. What are the dimensions of the table
nirvana33 [79]

Answer:

4 ft by 2 ft

Step-by-step explanation:

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4+4+2+2=12

7 0
3 years ago
If \: x + y + z = 0 \: then \: show \: that \: {x}^{3} + {y}^{3 } + {z}^{3} =3xy<br>​
tankabanditka [31]

Answer:

Given

x+y+z=0

⟹x+y=−z

Cubing on both sides

(x+y) 3 =(−z) 3

⟹x 3 +y 3 +3x 2y+3xy 2 =−z 3

⟹x 3 +y 3 +3xy(x+y)=−z 3

⟹x 3+y 3+3xy(−z)=−z 3

⟹x 3 +y 3−3xyz=−z 3

⟹x 3 +y 3 +z 3 =3xyz

Step-by-step explanation:

Hope it is helpful.....

8 0
3 years ago
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