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3 years ago

6. A total of 1,022 guests are attending a reception. If eachtable can seat

Mathematics

2 answers:

DIA [1.3K]3 years ago

7 0

1022/12 is 85.16667

meaning the least amount of tables needed is 85 to hold all 1022 guests

NeTakaya3 years ago

6 0

Answer:

Step-by-step explanation:

1022/12 = 85.16666 which would mean that 85 tables would hold 12 people (1020) and 1 table would hold 2 people. So 86 tables to seat all the guests .

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To furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tabl

Free_Kalibri [48]

Answer:

A. 6

Step-by-step explanation:

Let n represent number of tables.

We have been given that to furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tables in a warehouse that are all different from each other. There are 5 chairs in the warehouse and if 150 different combinations are possible.

Since 2 chairs are being selected from 5 chairs, so we can choose 2 chairs in $5C2$ ways.

There are n tables and we can choose 2 tables from n table in $nC2$ ways.

We can represent our given information in an equation as:

$5C2\times nC2=150$

$\frac{5!}{2!(5-2)!}\times \frac{n!}{2!(n-2)!}=150$

$\frac{5*4*3!}{2*1*3!}\times \frac{n!}{2!(n-2)!}=150$

$10\times \frac{n!}{2!(n-2)!}=150$

$\frac{n!}{2!(n-2)!}=15$

$\frac{n!}{2*1*(n-2)!}=15$

$\frac{n*(n-1)*(n-2)!}{2*(n-2)!}=15$

$\frac{n(n-1)}{2}=15$

$n(n-1)=30$

$n^2-n=30$

$n^2-n-30=0$

$n^2-6n+5n-30=0$

$n(n-6)+5(n-6)=0$

$(n-6)(n+5)=0$

$(n-6)=0\text{ (or) }(n+5)=0$

$n=6\text{ (or) }n=-5$

Since tables cannot be negative quantity, therefore, 6 tables are in the warehouse.

8 0

3 years ago

This is an Accounting Question, but there's no subject for it!

kykrilka [37]

it is correct

Step-by-step explanation:

6 0

3 years ago

PLZ HELP WILL BE MAKRED BRAINLIEST PLZ PLZ PLZ PLZ PLZ PLZ!!!!!!!!

Eddi Din [679]

Second option since its a sun moon and earth model

4 0

3 years ago

Read 2 more answers

The circle graph shows the contents of one brand of peanut butter.

yarga [219]

Answer:

209.5 g

Step-by-step explanation:

The chart shows that 25% of the peanut butter is protein.

25% of 838 g =

= 0.25 * 838 g

= 209.5 g

Answer: 209.5 g

3 0

3 years ago

A blackboard has an area of 28 and a perimeter of 22 ft. What are the dimensions of the board?

Alex787 [66]

Answer:

the ancer is c

Step-by-step explanation:

Answer:

Option (c) is correct.

Dimension of board is 4 ft by 7 ft.

Step-by-step explanation:

Given : A blackboard has an area of 28 feet squared and a perimeter of 22 ft.

We have to find the dimension of blackboard and choose the correct option from given options.

Since blackboard is in shape of rectangle thus,

Area of blackboard is 28 feet²

That is, Area of rectangle = 28 feet²

We know Area of rectangle = length × Breadth

substitute, we get,

28 = length × Breadth ......(1)

Also, Perimeter of blackboard is 22 feet.

That is, Perimeter of rectangle = 22 feet

We know, Perimeter of rectangle = 2 (length + Breadth)

substitute, we get,

22 = 2 (length + Breadth)

11 = (length + breadth) ........(2)

Let length be l and breadth be b

Solving (1) and (2) ,

from (2)

b = 11 - l ..(3)

put (3) in (1) , we get,

28 = L (11 - L)

Multiply, we get,

Solving above quadratic equation using middle term split method, we get,

Solving, e get,

Using zero product property, we get,

and

We get ,

and

Thus, length can be 4ft or 7 ft

Substitute, L in (3) , we get,

b = 11 - 4 = 7 ft

b = 11 - 7 = 4 ft

Thus, Dimension of board is 4 ft by 7 ft.

Option (c) is correct. hope it helped <3

5 0

4 years ago

Read 2 more answers