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storchak [24]
3 years ago
13

What is the solution to the equation?

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
8 0
C. x=3 because you need to distribute the 3 to the x and the -5. This will get you 3x-15= 8x-30. Then, you have to subtract 3x from both sides. -15=5x-30. Lastly, you add 30 to both sides. 15=5x. Divide both sides by 5 and you have x=3.
never [62]3 years ago
7 0
3(x - 5) = 8x - 30

Distribute 3 into the parenthesis:
 3x - 15 = 8x - 30

Add 15 to both sides:

3x = 8x - 15

Subtract 8x to both sides:

-5x = -15

Divide -5 to both sides:

x = 3

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We are interested in the dimensions of a certain rectangle. this rectangle has length twice the side of the square and width thr
Mila [183]
Area of square = s^2
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Now we have l and w.
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Since both areas are equal set both equations equal to each other:
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Now simplify
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s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
8 0
3 years ago
Consecutive angles in a parallelogram are supplementary. What is the value of x?
Naddika [18.5K]

Step-by-step explanation:

HERE,

\angle{PQR=20+2x  } ⠀

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we know that,

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so,

According to the question,

\angle{PQR}+\angle{QRS}=180 ⠀

\tt{20+2x+6x=180  } ⠀

\tt{8x+20=180  } ⠀

\tt{8x=180-20  } ⠀

\tt{8x=160  } ⠀

\tt{x=\dfrac{160}{20}  } ⠀

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2 years ago
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Answer:

<h2><u><em>at x = 3      D = .1086</em></u></h2><h2><u><em /></u></h2><h2><u><em>at x = 4      D =  .0869</em></u></h2><h2><u><em /></u></h2><h2><u><em>at x = 5      D = .0724</em></u></h2>

<u><em /></u>

6 0
2 years ago
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Your answer is J $3.53
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