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Dmitriy789 [7]
3 years ago
9

FOR BRAINLIEST ANSWER ONLY: 2. 3. 4. 6.

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

2. x = 2 & y = 4

3. x = 4 & y = 2

Step-by-step explanation:

2. x + y = 6

  2x + y = 8  (multiply the first equation by -1,  so you can eliminate the ys)

- x - y = -6

2x + y = 8  (now add the variables together)

x = 2 (plug in x in one of the equations to find out y)

x + y = 6

(2) + y = 6

-2           -2

y = 4

3. 3x + y = 14

          x = 2y (plug in x into the first equation and solve it for y)

3(2y) + y = 14

6y + y = 14

7y = 14

y =  2  (plug in y in one of the equations to find out x)

x = 2y

x = 2(2)

x = 4

4.  One number (x) is 2 more (+2) than twice (times 2) as large as another. their sum is 17. Find the numbers.

2x + 2 = 17 (solve for x)

     -2     -2

2x = 15

x = 7.5

6. 7 (4x + 1) - (x + 6) (start by distributing 7 into the first parenthesis)

  (28x + 7) - (x + 6) (do the same to the other parenthesis by distributing -1)

  (28x + 7)  (-x - 6) (and now just combine like terms)

   28x + 7 - x - 6

   28x - x + 7 - 6

   27x + 1

i hope this helped! if you have any question, pls let me know!

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In the diagram below, the circle has a radius of 25 inches. the area of the unshaded is 500pi in^2Determine and state the degree
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72^{\circ}

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\  \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\  \\ 500\pi+\frac{125\piα}{72}=625\pi \\  \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi  \\  \\ \frac{125\pi α}{72}=125\pi  \\  \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi  \\  \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\  \\ α=72^{\circ} \\  \\  \end{gathered}

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6 0
1 year ago
What is 33 %of what number is 1.45
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To find 33% of 1.45 we have to tranform 33% into decimal of traction
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