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gladu [14]
4 years ago
15

can someone help me simplify this: the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the th

ird power times y to the 2nd power all over 5 times x to the third power times y
Mathematics
1 answer:
VMariaS [17]4 years ago
8 0
10x^6y^3 + 20x^3y^2 / 5x^3y = 
5x^3y (2x^3y^2 + 4y) / 5x^3y=
<span>2x^3y^2 + 4y
</span>
First you find what the expressions 10x^6y^3 and 20x^3y^2 have in common, and that is 5x^3y, which is the same as the denominator, so you can easily divide them and get 1. 
<span>Hope you understand!

</span>
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Owen went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 500 mg of sodium and each fro
fiasKO [112]

Answer: 2 with the remainder of 200

Step-by-step explanation:

first you are going to times 19 cans by 500 mg of sodium and get 9,500

then you are going to subtract 11,000 by 9,500 and get 1,500

lastly you are going to take 1,500 and divide it by 650.

in the end you will get 2 with the remainder of 200.  

7 0
3 years ago
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Need help for number 4 please
Marina CMI [18]

Answer:

Step-by-step explanation:

4) ΔSTW ≅ ΔBFN . So, corresponding parts of congruent triangles are congruent.

a) BN = SW                                        d) m∠W = m∠N

  BN = 9 cm                                           m∠W = 82°

b) TW = FN                                        e) m∠B = m∠S

TW = 14 cm                                            m∠B = 67°

c) BF = ST                                          f) m∠B + m∠N + m∠F = 180°

  BF = 17 cm                                                 67 + 82 + m∠F = 180

                                                                            149 + m∠F = 180

                                                                                     m∠F = 180 - 149

                                                                                      m∠F = 31°          

5) ΔUVW ≅ ΔTSR

UV = TS

12x - 7 = 53

   12x   = 53+7

   12x = 60

      x = 60/12

      x = 5

UW =TR

3z +14 = 50

    3z = 50 - 14

   3z = 36

     z = 36/3

    z = 12

SR =VW

5y - 33 = 57

     5y = 57 + 33

     5y = 90

       y = 90/5

       y = 18

7) ΔPHS ≅ ΔCNF

∠C = ∠P

4z - 32 = 36

      4z = 36 + 32

       4z = 68

        z = 68/4

       z = 17

∠H = ∠N

6x - 29 = 115

  6x     = 115 + 29

      6x = 144

        x = 144/6

       x = 24

∠P + ∠H + ∠S = 180   {Angle sum property of triangle}

36 +115 + ∠S = 180

      151   + ∠S = 180

                ∠S = 180 - 151

               ∠S = 29°

∠F = ∠S

3y - 1 = 29

   3y = 29 + 1

  3y = 30

    y = 30/3

    y = 10

8) ΔDEF ≅ ΔJKL

DE = 18    ;  EF = 23

DF = 9x - 23

JL= 7x- 11

DF = JL           {Corresponding parts of congruent triangles}

      9x - 23 = 7x - 11

9x  - 7x - 23 = -11

        2x - 23 = -11

               2x = -11 + 23

               2x = 12

                 x = 12/2

                x = 6      

JK   = DE           {Corresponding parts of congruent triangles}

3y - 21  = 18

       3y = 18 + 21

        3y = 39

         y = 39/3

        y = 13

4 0
3 years ago
Convert 14° into radians manually (no calculator) please show work. Thank you in advance!!
Inessa [10]

1 degree is \dfrac\pi{180} radians. So 14 degrees is \dfrac{14\pi}{180}=\dfrac{7\pi}{90} rad.

Easy way to remember this: one complete revolution in a circle is 360 degrees. But it's also 2\pi radians. So the conversion rate is

\dfrac{2\pi\,\rm rad}{360^\circ}=\dfrac{\pi\,\rm rad}{180^\circ}

i.e. for every \pi radians there are 180º.

7 0
4 years ago
Read 2 more answers
What is the 100th term in the sequence 5, 9, 13, 17, 21 ?
olga_2 [115]

Answer:

401

Step-by-step explanation:

a=5

d=9-5=4

a_{n}=a+(n-1)d\\a_{100}=5+(100-1)4=5+400-4=401

5 0
3 years ago
G(n) = n² + 2; Find g(3)​
AlladinOne [14]

Answer:

<h2><em><u>11 is the answer</u></em></h2>

Step-by-step explanation:

<em><u>1. Write the question.</u></em>

g(n) = n² + 2; Find g(3)​

<em><u>2. Find and input the numbers into the equation</u></em>

g(3) =  3² + 2

3² = 9

<em><u>3. Solve the equation</u></em>

g(3) = 3² + 2

= 9 + 2

= 11

<em><u>The answer is 11.</u></em>

Hope this helped,

Kavitha Banarjee

6 0
3 years ago
Read 2 more answers
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