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pishuonlain [190]
3 years ago
11

How many times does 5 go into 709?

Mathematics
1 answer:
Sveta_85 [38]3 years ago
5 0
895 times. division!
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the first term of an arithmetic sequence is -27. the common difference of the sequence is 6. What is the sum of the first 30 ter
Nina [5.8K]

Answer:

1800

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 27 and d = 6, thus

S_{30} = \frac{30}{2} [ (2 × - 27) + (29 × 6) ]

     = 15( - 54 + 174)

     = 15(120)

     = 1800

4 0
3 years ago
A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and vot
Harlamova29_29 [7]

Answer:

npr=  n!  /(n-r) !

nCr= =(n r) = n!  /r!(n-r)1

Step-by-step explanation:

6 0
3 years ago
A restaurant uses a folded paper box for to-go orders. A to-go meal container has a surface area of 40 in². To make a to-go meal
aniked [119]
It's C)12 squared because you have to look outside of the box
8 0
3 years ago
- Isabella makes $14.35 an hour at her company. Skyler, who works at the same company,
olga55 [171]

Answer:

It would be 8 years ago.

Step-by-step explanation:

-First, subtract $14.35 from $16.35, which gives you 2.

-Next, remember that $0.25 is a quarter, so how many quarters make $2?

-0.25x4 gives you a dollar, so 0.25x8 gives you 2 dollars.

Hope it helps!

7 0
2 years ago
Thank you very much anh you
Neko [114]

Hello from MrBillDoesMath!

Answer:

See discussion below

Discussion:

#4

The sum of the interior angles of a polygon of n sides is (n-2)* 180. As the polygon in #4 has 7 sides , the sum of the interior angles is (7-2)*180 = 5 * 180 = 900.

We can also compute the sum of the interior angles by adding up each of the angles (expressed in terms of x)  shown in #4. Starting at the top of the polygon and proceeding counterclockwise gives:

900 =  (8x +34) + (10x+21)+(9x+30)+(7x+45)+(5x+44)+(12x+13)+(6x+29)  =>

           (8x + 10x+9x+7x+5x+12x+6x) + (34+21+30+45+44+13+29)  =

           57x                                            + 216

This simplifies to

900 =  57x + 216                => subtract 216 from both sides

900-216 = 57x                    => 900-216= 684

684= 57x                            => divide both sides by 57

684/57  = x                         => as 684/57 = 12

x = 12

The diagram has makes repeated use of the same variable for vertices. That is, the diagram shows 4 P's, 1 Q, 2 R's, 0 S's, and 1 T making it impossible to determine the values of some angles.  For example, consider m RST -- whatever that means.

#5 uses the same ideas but the vertices are properly  labeled (I'll leave the grunt of determining the  individual angles to you but here are the main points).

Sum of interior angles = (7 -2) * 180 = 5 * 180 = 900.

900 =  (8x+62) + (7x+66)+(5x+83)+(6x+55)+(10x+42)+(8x+45)+(4x+67)  =>

900 =   (8x + 7x +5x+6x+10x+8x+4x) + (62+66+83+55+42+45+67)

900=     48x                                        +  420             =>

900 -420 = 48x                                                          =>   subtract 420

480  = 48x                                                                  =>   divide by 48

x = 480/48 = 10

Thank you,

MrB

6 0
3 years ago
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