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Simora [160]
3 years ago
13

Solve for x: x-3/4=x/10

Mathematics
1 answer:
Olin [163]3 years ago
5 0

Answer:  

fractions form- x= 5/6

decimal form- x=0.83

Step-by-step explanation:

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Which best describes a number that cannot be irrational
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Am irrational number is a number that cannot be expressed as a fraction for any integers. numbers of the form,where is the logarithm, are irrational if and are integers, one of which has a prime factor which the other lacks.    is irrational for rational       
8 0
3 years ago
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For an arithmetic sequence, a35=57. If the common difference is 5. Find a1 and the sum of the first 61 terms.
Flauer [41]

 

\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\

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\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276

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\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}    

 

 

8 0
3 years ago
In the coordinate plane, what is the length of the line segment that connects points at (5, 4) and (−3, −1) ? Enter your answer
stiks02 [169]
The distance between two points knowing theirs coordinates:

AB =√[(x₂-x₁)² +(y₂-y₁)²]; ===>A(5,-4) & B(-3,-1) Given
                                                A(x₁,y₁) & B(x₂,y₂)

AB =√[(-3-5))²+(-1-(-4)²] =√(73) = 8.381 ≈ 5.44 units
3 0
3 years ago
Jermaine has just painted a large mural. It is 8 1/2 feet wide. The wall he wants to place it on is 11 3/4 feet wide. About how
PolarNik [594]
First turn 1/2 to 2/4 so you have a common denominator.
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Hope this helps!
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3 years ago
Draw a quick picture to show the number 68 In two ways
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