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Sophie [7]
3 years ago
14

One person can do a certain job in fifteen minutes, and another person can do the same job in ten minutes. How many minutes will

they take to do the job together?
Mathematics
2 answers:
8_murik_8 [283]3 years ago
8 0
It would take 5 because they could do it twice as fast
MissTica3 years ago
4 0

Answer:

They will take 6 minutes to do the job together.

Step-by-step explanation:

Consider the provided information.

It is given that the time taken by one person to do a job is 15 minutes.

The time taken by another person to do the same job is 10 minutes.

Let T represent the time taken when they both work together.

Therefore the required equation is:

\frac{1}{T}=\frac{1}{15}+\frac{1}{10}

\Rightarrow\frac{1}{T}=\frac{2+3}{30}

\Rightarrow\frac{1}{T}=\frac{5}{30}

\Rightarrow\frac{1}{T}=\frac{1}{6}

\Rightarrow T=6

Hence, they will take 6 minutes to do the job together.

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Jordan lives 6 kilometers due south of his parents' house and 4 kilometers west of his grandparents' house. On his birthday, Jor
rusak2 [61]

Answer:

Step-by-step explanation:

The direction of movement of Jordan on his birthday forms a right angle triangle. His movement from his house to his parents due south represents the opposite side of the right angle triangle. His movement due west represents the adjacent side and the movement back home along the straight line, d represents the hypotenuse. To determine d, we would apply the Pythagorean theorem. Thus

d² = 6² + 4² = 52

d = √52 = 7.2 km

The total distance that he drove on his birthday is

6 + 4 + 7.2 = 17.2 km

5 0
3 years ago
You are trying to bulk and gain muscle. Your trainer says your daily calorie intake should increases based on hours you spend ex
s2008m [1.1K]

a) T - Calories, 2000 - <em>Minimum</em> calories, 500 - Additional calories per exercise hour, b) We should consume 3500 calories to spend three hours exercising.

<h3>How to analyse a linear function of calorie gain in terms of the exercise time</h3>

In this question we have a <em>linear</em> function where the <em>independent</em> variable is the exercise time (h), in hours, and the <em>dependent</em> variable is the calorie gain (T), in calories. The constant "2000" is the <em>minimum</em> calorie consumption and the constant "500" represents the amount of <em>additional</em> calories per each hour of exercise.

Now we proceed to respond the questions of the part a):

(i) T - Amount of calories needed, (ii) 2000 - Minimum calorie consumption, (iii) 500 - Amount of additional calories per hour of exercise.

b) And lastly we calculate the amount of calories by evaluating the function:

T = 2000 + 500 · 3

T = 2000 + 1500

T = 3500

We should consume 3500 calories to spend three hours exercising.

<h3>Remark</h3>

The statement is incomplete, the complete form is shown below:

You are trying to bulk up and gain muscle. Your trainer says that your daily calorie intake should increase based on the hours you spend exercising and can be represented by the following equation: T = 2000 +  500 · h

a) What does each part of this expression represent? (i) T = , (ii) 2000, (iii) 500, (iv) h

b) If you spend 3 hours exercising, how many calories should you consume?

To learn more on linear functions: brainly.com/question/21107621

#SPJ1

4 0
2 years ago
Divide. Write your answer in simplest form. 1/9 divided 5/4?
timofeeve [1]

Answer: 4/45

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A. In a school year the ratio of boys to girls is 3:4. If there are 372 boys, how many girls are there
natima [27]

Answer:

a. 496 girls

b. 110 boys

Step-by-step explanation:

a. 3:4 ------- divide 372 by 3 and you get 124 now multiply that by 4 and you get 496

b. 2:5 -------- divide 275 by 5 and you get 55 now multiply that by 2 and you get 110

7 0
3 years ago
Find the domain and range of f(x)=3^x
Margaret [11]

Answer:

Below in bold.

Step-by-step explanation:

x can have any real value - the domain is (-∞, ∞).

f(x) cannot be 0 or negative, no matter how negative x is,  - the range is (0, ∞)

6 0
3 years ago
Read 2 more answers
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