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lord [1]
1 year ago
12

According to the data, Vannessa mean quiz ...

Mathematics
1 answer:
damaskus [11]1 year ago
8 0

Answer: x = 108

Given the below equation

x + 13 1/2 = 121 1/2

Firstly, we need to convert the mixed fraction into an improper fraction

\begin{gathered} x\text{ + 13}\frac{1}{2}\text{ = 121 }\frac{1}{2} \\ 13\frac{1}{2}\text{ = }\frac{(2\text{ x 13) + 1}}{2} \\ 13\text{ }\frac{1}{2}\text{ = }\frac{26\text{ + 1}}{2} \\ 13\frac{1}{2}\text{ = }\frac{27}{2} \\ 121\frac{1}{2}\text{ = }\frac{(2\text{ x 121) + 1}}{2} \\ 121\frac{1}{2}\text{ = }\frac{243}{2} \\ \text{Therefore, the new equation becomes} \\ x\text{ + }\frac{27}{2}\text{ = }\frac{243}{2} \\ \text{Isolate x} \\ x\text{ = }\frac{243}{2}\text{ - }\frac{27}{2} \\ \text{Common denominator = 2} \\ x=\text{ }\frac{243\text{ - 27}}{2} \\ x\text{ = }\frac{216}{2} \\ x\text{ = 108} \end{gathered}

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Solve for x. x = [?] 5x - 7/3x + 27 ..​
ArbitrLikvidat [17]

Answer:

x = 20

Step-by-step explanation:

the angles shown are supplementary

supplementary angles add up to 180°

hence, 5x - 7 + 3x + 27 = 180

==> combine like terms

8x + 20 = 180

==> subtract 20 from both sides

8x = 160

==> divide both sides by 8

x = 20

3 0
2 years ago
Sara left a bin outside in her garden to collect rainwater. She notices that 1/8 gallon of water fills 2/3 of the bin. Write and
Tpy6a [65]

Answer: 3/16 gallons of water

Step-by-step explanation:

With any fraction, if you multiply it by its reciprocal, it equals 1.  (ex: 3/4*4/3=1, 1/2*2/1=1, 71/256*256/71=1)  Thus, 2/3*3/2=1.  Because 2/3 of the bin=1/8 gallon, simply multiply both sides of the equation by 3/2 and you will get that 1 bin of water=0.1875 gallons of water, or 3/16 gallons of water.

Hope it helps <3

8 0
2 years ago
Find the value of the 100th and 1000th term in the sequence { 3,-5,7,-9,...}
pogonyaev
The value of 100th is 201
and the value of 1000th is 2001
7 0
3 years ago
A hiker begins a trip by first walking 22.2 km
Dominik [7]

9514 1404 393

Answer:

  20.6 km

Step-by-step explanation:

Using (East, North) coordinates, the hiker's position ends up being ...

  22.2(cos(-45°), sin(-45°)) +40.1(cos(65°), sin(65°))

We're only interested in the second coordinate of this total, which is ...

  22.2sin(-45°) +40.1sin(65°) ≈ -15.698 +36.343 = 20.645 . . . km

The y-component of the hiker's position at the end of the second day is 20.6 km north of her starting location.

4 0
2 years ago
What values of x and y satisfy the system of equations {10x+3y=−5−5x−4y=10? (0,−53) (25,−3) (−2,0) (12,−103)
Kitty [74]

Answer:

<em>The solution of the equation </em>

<em>( 0.4 ,-3)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i):</em></u>-

Given system of equations

                                  10 x+3 y = −5 ...(i)

                                 - 5 x - 4 y = 10 ...(ii)

Multiply (i) with '5'

          10 × 5 x +  3×5 y = - 25  

              50 x + 15 y = 25 ...(iii)

Multiply (ii) with '10'

        -5 × 10 x - 4×1 0 y = 100

       - 50 x - 40 y =100 ...(iv)

<u><em>Step(ii)</em></u>:-

Solving (iii) and (iv)

        50 x + 15 y =- 25

     <u>  - 50 x - 40 y =100</u>

                - 25 y = 75

Dividing ' - 25' on both sides, we get

               <em>    y = -3</em>

<em>substitute y = -3 in equation (i) , we get</em>

<em>            </em>  10 x+3 y = −5

             10 x - 9 = - 5

                10 x = -5 + 9

                    x = \frac{4}{10}

                 <em>  x =  0.4  </em>

<u><em>Final answer</em></u>:-

 <em>The solution of the equation   ( 0.4 ,-3)</em>

           

7 0
3 years ago
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