Mathematics : asked on Retzzi
 20.10.2022

Given that ¹/x=²/y+¹/z. express y interms of x and z. if x=5 and z=10. find the value of y leaving your answer as a mixed fraction

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Step-by-step answer

09.07.2023, solved by verified expert

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Mathematics
Step-by-step answer
P Answered by Master

y=\dfrac{2xz}{(z-x)}

Step-by-step explanation:

Given:

\dfrac{1}{x}=\dfrac{2}{y}+\dfrac{1}{z}

\implies \dfrac{2}{y}=\dfrac{1}{x}-\dfrac{1}{z}

\implies \dfrac{2}{y}=\dfrac{z-x}{xz}

\implies 2xz=y(z-x)

\implies y=\dfrac{2xz}{(z-x)}

When x = 5 and z = 10:

\implies y=\dfrac{2(5)(10)}{(10-5)}

\implies y=\dfrac{100}{5}

\implies y=20

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

Mathematics
Step-by-step answer
P Answered by PhD

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2

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