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Lelechka [254]
2 years ago
11

The reciprocal of 5 less than a number is 4 times the reciprocal of twice the number. find the number.

Mathematics
1 answer:
ivolga24 [154]2 years ago
6 0
5 less than the number is x - 5
The reciprocal is 1/(x - 5)

This number is 1/(x - 5) = 4(1/(2x)) Cross multiply.
2x = 4*(x - 5) Remove the brackets.
2x = 4x - 20 Subtract 2x from both sides
0 = 4x - 2x - 20
0 = 2x - 20 Add 20 to both sides
20 = 2x Divide by 2
20/2 = x
10 = x
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3 years ago
WANT POINTS JUST ANSWER THIS CORRECTLY FOR 45!!!
Lelu [443]
Since we’re trying to find minutes, concert all known information to minutes

1 hr 15 mins = 75 mins
1 hr 30 mins = 90 mins

Next, calculate how many total minutes Gage has skated in the first 8 days

75(5) + 90(3) = 645 mins

Create an equation to find the average of Gage’s minutes of skating. Add up all the minutes and divide by the total amount of days and set equal to 85, the average we are trying to get.

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3 0
2 years ago
Z to the power of 2 =1
stiv31 [10]

That would be written as:

z^{2} = 1


And the step-by-step equation would be:

z^{2} = 1 → we take the 2 to the right side of the equation and do the IO*

z = \sqrt{1} →we solve for \sqrt{1}

z = 1 → final answer


*Ps - IO is not an existing term and stands for inverse operation. In this case, because when we take to 2 to the right side of the equation (the 2 is a power) it'll have to turn into a square root (because exponents and roots are inverse operations)



Hope it helped,



BioTeacher101

3 0
3 years ago
How do you convert the angle 11(pie)/12 from radians to degrees?
sergey [27]

Answer:

165°

Step-by-step explanation:

11π/12 * 180/π = 1980π/12π

Reduce & Cancel: 165°

4 0
3 years ago
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