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2 years ago

1 over 6x plus 2 over 3x is equal to 5 find the value of x 1/6x + 2/3x =5

Mathematics

2 answers:

Marrrta [24]2 years ago

6 0

Answer: x = 6

Step-by-step explanation: 1/6x + 2/3 x = 5 first just add the like terms 5/6 x = 5 then 5*6 /5 = x hope it helps ;)

Oliga [24]2 years ago

4 0

Answer: x = 1/6 or x = 0.1666666666666...
Hope this helps!

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Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complet

belka [17]

Answer: 3.4 h

Explanation:

1) The basis to solve this kind of problems is that the speed of working together is equal to the sum of the individual speeds.

This is: speed of doing the project together = speed of Cody working alone + speed of Kaitlyin working alone.

2) Speed of Cody

Cody can complete the project in 8 hours => 1 project / 8 h

3) Speed of Kaitlyn

Kaitlyn can complete the project in 6 houres => 1 project / 6 h

4) Speed working together:

1 / 8 + 1 / 6 = [6 + 8] / (6*8 = 14 / 48 = 7 / 24

7/24 is the velocity or working together meaning that they can complete 7 projects in 24 hours.

Then, the time to complete the entire project is the inverse: 24 hours / 7 projects ≈ 3.4 hours / project.Meaning 3.4 hours to complete the project.

7 0

3 years ago

Read 2 more answers

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) Standard deviation of 23 bags

$\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167$

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

$P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)$

$= 1 - P(z < 12.57)$

Calculation the value from standard normal z table, we have,

$P(x < 5.95) = 1 - 1 = 0$

c) P( fill volume of 23 bags is below 6 ounces) = 0.001

P(x < 6) = 0.001

$P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})$

Calculation the value from standard normal z table, we have,

$P( z \leq -3.09) = 0.001$

$\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948$

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

7 0

3 years ago

Place the following in order from least to greatest. 8,000,000 mm, 5 km, 7000,000 cm, 6,000 m

Nutka1998 [239]

Answer: 5km, 6000m, 8,000,000 mm, 7000000 cm

Step-by-step explanation:

Note that:

1km = 1,000,000mm

1m = 1000mm

1cm = 10mm

Therefore,

5 km = 5 × 1,000,000mm = 5,000,000mm

7000,000 cm = 7,000,000 × 10 = 70,000,000mm

6,000 m = 6000 × 1000 = 6,000,000mm

Therefore, from the least to the greatest will be:

5km, 6000m, 8,000,000 mm, 7000000 cm

5 0

3 years ago

A support cable connects the top of a bridge tower to the road at a point 200.7 feet away from the center of the bridge tower

andrey2020 [161]

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4 0

3 years ago

For what value of c will this function have one zero?<br> f(x) = X^2 +c

Phoenix [80]

X² + c is actually a quadratic function.

And x² + c = 0, it usually has two zeros which are solutions.

But for when c = 0,

x² + c = 0

x² + 0 = 0

x² = 0

Taking the square root of both sides.

x = 0. Here it only has one zero.

So the function x² + c, only has one root for c = 0.

6 0

3 years ago