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sashaice [31]
3 years ago
5

Solve for x: 3 over 4 x + 5 over 8 = 4x

Mathematics
1 answer:
vaieri [72.5K]3 years ago
8 0

Step-by-step explanation:

3/4x + 5/8 = 4x/1

5/8 = 4x/1 - 3/4x

5/8 = 16x^2 - 3/4x

5/8 = 4x - 3/1

5/8 = 4x - 3

Cross multiply

8(4x - 3) = 5

32x - 24 = 5

32x = 5 + 24

32x = 29

X = 29/32

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Find the circumference of the circle with 1/4 Pi square centimetre square 2<br>​
otez555 [7]

Answer:

The circumference of the circle is 6 cm (approximately).

Step-by-step explanation:

Given:

Area of the circle = 1/4π²

Now, to get the circumference of the circle we need the radius.

So, finding the radius by putting the formula of area:

Area = \pi r^{2}

\frac{1}{4} \pi ^{2} = \pi r^{2}

dividing π by both sides:

\frac{1}{4}\pi=r^{2}

using square root on both the sides:

\frac{1}{2}\sqrt{\pi } = r

So, the radius is \frac{1}{2}\sqrt{\pi }

Now, putting the formula of circumference:

circumference=2\pi r

                              =2\pi\frac{1}{2} \sqrt{\pi}

                              =\pi \sqrt{\pi}

putting the value of π =3.14

                              =3.14\times\sqrt{3.14}

                              =3.14\times1.77

                              =5.56

Circumference = 5.56 cm

Therefore, the circumference of the circle is 6 cm (approximately).

4 0
3 years ago
The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases h
shepuryov [24]

Answer:A on edg.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
One number is 2 more than 3 times another. Their sum is 22. Find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12
xxTIMURxx [149]

9514 1404 393

Answer:

  (b)  5, 17

Step-by-step explanation:

You can try the answer choices easily enough.

  2 +3×8 ≠ 14

  2 +3×5 = 17 . . . . this choice works (5, 17)

  2 +3×2 ≠ 20

  2 +3×4 ≠ 18

  2 +3×10 ≠ 12

__

Or, you can solve the equation:

  x + (2 +3x) = 22

  4x = 20 . . . . . . . . subtract 2

  x = 5 . . . . . . . . . . divide by 4

The numbers are 5 and (22 -5) = 17.

5 0
3 years ago
Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25
aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The mean time for the component failure is 2500 hours.

This means that m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

P(X > x) = e^{-0.0004*5000} = 0.1353

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0
2 years ago
1. Attiana bought 5 packets of pumpkin seeds. Each packet contained 32 seeds. Attiana planted 1 packet of the seeds and 20 seeds
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