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Aleks04 [339]
3 years ago
9

A carpenter can do a job in two hours. His assistant can do the same job in three hours. How long would it take them to do the j

ob together?
Mathematics
2 answers:
OlgaM077 [116]3 years ago
5 0

The carpenter makes 1/4 of the job per hour.

The assistant makes 1/6 of the job per hour.

When they work together, they make 1/4 + 1/6 = 6/24 + 4/24 = 10/24 = 5/12 of the job each hour.

Thus, it will take 12/5 = 2 2/5 hours = 2 hours and 24 minuets for them to finish the job working together.

Anuta_ua [19.1K]3 years ago
3 0

Answer:the answer is 2.4 hours

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Answer:

300

Step-by-step explanation:

24000/80

7 0
3 years ago
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Find f( -7) if f(x) = 3 - 2x. <br> Which relation describes a function?
Dahasolnce [82]

Answer:

The answer is 17

A function is a relation in which each possible input value leads to exactly one output value. For example, we say “the output is a function of the input.”

Step-by-step explanation:

f(-7)=3-2x

3-2(-7)

3 - -14= 17

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3 years ago
Question 12 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of and
andreev551 [17]

Complete question :

The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Answer:

0.10868

Step-by-step explanation:

Given that :

Mean (m) = 3.02

Standard deviation (s) = 0.29

Sample size (n) = 20

Probability of 3.10 GPA or higher

P(x ≥ 3.10)

Applying the relation to obtain the standardized score (Z) :

Z = (x - m) / s /√n

Z = (3.10 - 3.02) / 0.29 / √20

Z = 0.08 / 0.0648459

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p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)

8 0
2 years ago
What is the measure of the smallest interior angle of the hexagon shown?
yan [13]
<h3>Answer:  C) 70 degrees</h3>

=========================================================

Explanation:

We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees

Lets add up the angles, set the sum equal to 720 and solve for x

x+2x+115+2x+115+2x = 720

7x+230 = 720

7x = 720-230

7x = 490

x = 490/7

x = 70

This makes angle 2x = 2*70 = 140 degrees

We see that x = 70 is the smallest angle, so that's why C is the answer.

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2 years ago
Work out the area of this circle
Svetach [21]

Answer:

A = 50.3 cm²

Step-by-step explanation:

<u><em>Area of a circle = </em></u>\pi r^2<u><em></em></u>

Where r = 4 cm

A = π(4)²

A = 16(3.14)

A = 50.3 cm²

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3 years ago
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