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victus00 [196]
3 years ago
11

Which equation is equivalent to 2/3x-5/6=-5/12x+1/4

Mathematics
2 answers:
umka21 [38]3 years ago
6 0

Answer:

x = 1

Step-by-step explanation:

\frac{2}{3} x -  \frac{5}{6}  =  -  \frac{5}{12} x +  \frac{1}{4}  \\  \frac{2}{3}x +  \frac{5}{12}  x =  \frac{1}{4}  +  \frac{5}{6}  \\  \frac{8}{12} x +  \frac{5}{12}x =  \frac{3}{12}  +  \frac{10}{12}  \\  \frac{13}{12} x =  \frac{13}{12}  \\ x = 1

daser333 [38]3 years ago
4 0

Answer:

x=1

Step-by-step explanation:

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Assume that y varies inversely with x. If y=1/3 when x=1/2, find y when x=1/4.
LenKa [72]

Answer:

y = \frac{2}{3}

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = \frac{1}{3} when x = \frac{1}{2} , thus

\frac{1}{3} = \frac{k}{\frac{1}{2} } = 2k ( divide both sides by 2 )

k = \frac{1}{6}

y = \frac{1}{6x} ← equation of variation

When x = \frac{1}{4} , then

y = \frac{1}{6(\frac{1}{4}) } = \frac{1}{\frac{3}{2} } = \frac{2}{3}

3 0
3 years ago
Marcia has 412 flower for centerpieces.She uses 8 flowers for each centerpiece.How many centerpieces can she make?
Mkey [24]

Answer:

412/8= 51 centerpieces

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
One year Perry had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitch
Blizzard [7]

Answer:

z score Perry z=-1.402

z score Alice z=-1.722

Alice had better year in comparison with Perry.

Step-by-step explanation:

Consider the provided information.

One year Perry had the lowest ERA​ of any male pitcher at his​ school, with an ERA of 3.02. For the​ males, the mean ERA was 4.206 and the standard deviation was 0.846.

To find z score use the formula.

z=\frac{x-\mu}{\sigma}

Here μ=4.206 and σ=0.846

z=\frac{3.02-4.206}{0.846}

z=\frac{-1.186}{0.846}

z=-1.402

Alice had the lowest ERA of any female pitcher at the school with an ERA of 3.16. For the​ females, the mean ERA was 4.519 and the standard deviation was 0.789.

Find the z score

where μ=4.519 and σ=0.789

z=\frac{3.16-4.519 }{0.789}

z=\frac{-1.359}{0.789}

z=-1.722

The Perry had an ERA with a z-score is –1.402. The Alice had an ERA with a z-score is –1.722.

It is clear that the z-score value for Perry is greater than the z-score value for Alice. This indicates that Alice had better year in comparison with Perry.

7 0
3 years ago
What is the value of the missing angle??
Mice21 [21]

Answer:

39°

Step-by-step explanation:

51° +? = 90°

? = 90° - 51°

? = 39°

Hope it helps you in your learning process.

4 0
3 years ago
If f(x) = 3x2 – 4 and g(x) = 2x - 6, what is g(f(2))?
saveliy_v [14]

Answer:

10

Step-by-step explanation:

find out f(2)

f(2)= (3×2×2) - 4= 8

then g(8) = 16 - 6= 10

4 0
3 years ago
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