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Lostsunrise [7]
3 years ago
10

The sum of a number and its reciprocal is 13/6. find the number

Mathematics
1 answer:
iris [78.8K]3 years ago
6 0
Suppose the number is x, its reciprocal is 1/x
x+1/x=13/6
(x^2+1)/x=13/6
6(x^2+1)=13x
6x^2-13x+6=0
(3x-2)(2x-3)=0
x=2/3 or x=3/2
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8 0
2 years ago
A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 245 ounces of a mixture
sesenic [268]

Answer:

140 ounces of water and 105 ounces of 35% salt solution.

Explanation:

Let x be the ounces of water that need to be added and y be the ounces of 35% solution that need to to be added.

We know that the total of ounces of water and of 35% solution must be 245 ounces:

x+y=245

35% of  x is the salt, and since no salt is added with addition of y  liters of water, this must be equal to the amount of salt in the final 15% solution:

0.35x=0.15*245

we solve for  x and get:

x=105

We put this value into x+y=245 and solve for y to get:

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8 0
3 years ago
The ratio of teachers to students on a field trip to New York City is 2 to 9. If there are 243 students on the trip,
Veseljchak [2.6K]

Answer:

54 teachers

Step-by-step explanation:

Step one:

given data

The ratio of teachers to students on a field trip to New York City is 2 to 9.

That is the ratio is 2:9

We are told that there are 243 students

Required

We want to find the number of teachers

Step two:

Applying the part to part method we have

let the number of teachers be x

2/9= x/243

cross multiply we have

9x= 243*2

9x= 486

divide both sides by 9

x= 54

Hence there are 54 teachers

4 0
3 years ago
Which expression is equivalent to 8/9 divided by 3/4
ipn [44]

Step-by-step explanation:

Dividing by a fraction is the same as multiplying with the opposite of the fraction. 8/9 / 3/4=8/9×4/3=32/27=1 5/27.

6 0
3 years ago
Read 2 more answers
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