MATHEMATICS HIGH SCHOOL

One person can do a certain job in ten minutes, and another person can do the same job in fifteen minutes. How many minutes will they take to do the job together? If x represents how many minutes to do the job together, then how much of the job does the slowest person do?

1. x/15
2. x/10
3. 15/x

Answers

Answer 1

Answer:

Together they can complete the whole job in 6 minutes.

The amount of work done by the slowest person is $(x)/(15)$ .

What is time, work done, and rate formula?

The time, work and rate formula is given by

Work done = time × rate of wok

According to the given question.

One person can do a certain job is 10 minutes.

⇒ The work done in 1 minute by the first person or the rate of work done by the first person = $(1)/(10)$

Another person can do the same job in 15 minutes.

⇒ The work done in 15 minutes by another person or the rate of work done by the second person = $(1)/(15)$

So,

The amount of work done by both of them in one minute

= $(1)/(10) + (1)/(15) =(1)/(6)$

⇒ Together they can complete the $(1)/(6)$ th part of the work in one minute.

Therefore, together they can complete the whole job in 6 minutes.

As, we know that

Work done = Total time taken × Rate of work done

Since, the second person is taking 15 minutes to complete the jo.

So, he is the slowest person.

Total time total time taken by the two persons to complete the job together is x (given).

Also, the rate of work done by the slowest person = $(1)/(15)$

Therefore,

The amount of work done by the slowest person = $x ((1)/(15) )$

Hence, the amount of work done by the slowest person is $(x)/(15)$ .

Find out more information about the work rate here:

brainly.com/question/14305692

#SPJ3

Answer 2

Answer: I believe the answer you may be looking for is 2. x/10.

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A car dealership lowered all of its car prices by 15%. Given the above information, what was the original price of a car now priced at £9500?

Answers

9,500 is 15% less than the original price.
So it must be 85% of the original price.

£9,500 = 0.85 P

Divide each side by 0.85 :

P = £9,500 / 0.85 = £11,176.47

the original price would be 9500+(0.15*9500)=10925

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.x+3y=9
3x-y=7

Answers

$\left \{ {{x+3y=9~(3)} \atop {3x-y=7(-1)}} \right. \n \n \left \{ {{3x+9y=27} \atop {-3x+y=-7}} \right. \n \n10y=20\n \ny= (20)/(10) \ny=2$

$x+3y=9\nx=9-3y\nx=9-3.2\nx=3$

$S=\{3,2\}$

One solution.

$x+3y=9\n 3x-y=7\ / \cdot 3\n \n x+3y=9\n 9x-3y=21\n \n 10x=30\ /:10\n x=3\n \n x+3y=9\n 3+3y=9\n 3y=6\n y=2\n one\ solution - (3;2)$

Shania is making a scale diagram of the badminton court at the community center. She uses a scale of 1 centimeters to 0.5 meters to draw the scale diagram.If the scale length of the badminton court is 26.8 centimeters and the scale width is 12.2 centimeter,what is the actual area of the court?

Answers

The actual area of the court is 81.74 meters. Since every 1 centimeter is equal to half a meter, you simply multiply the number of centimeters by .5. Which would make the length 13.4 and the width 6.1 meters. Then you multiply these two by eachother and it would give you an area of 81.74 meters.

Answer:

Step-by-step explanation:

Suppose you need to minimize the cost of fencing in a rectangular region with a total area of 450 square feet. The material that will be used for three sides costs $15 per linear foot, and the material that will be used for the fourth side costs $18 per linear foot. Write a function that expresses the cost of fencing the region in terms of the length, x, of the two opposite sides of the region with material costs of $15 per linear foot.

Answers

Answer:

30*x + 14850/x

Step-by-step explanation:

Let x be the length of the two opposite sides of the region with material costs of $15 per linear foot.

Let y be the length of the other two sides

Now, we have the following equations

Area of the rectangular región = x * y = 450 ft2

Total cost of fencing = 15*x + 15*x + 15 *y + 18*y

Total cost of fencing = 30*x + 33 *y

We now that area is equal to 450 ft2 = x*y

So y = 450/x

Now we can substitute y in equation for Total cost of fencing and obtain a function that expresses the cost of fencing the region in terms of the length, x

Total cost of fencing = 30*x + 33 *(450/x)

Total cost of fencing = 30*x + 14850/x

Which value, when placed in the box, would result in a system of equations with infinitely many solutions?y = 2x – 5

2y – 4x =

Answers

For a system of equations to have infinitely many solutions it must describe identical lines.
If you multiply the first equation by 2, then move the x term to the left side, you would get 2y-4x=-10
Final Answer:
-10
Hope I helped :)

Answer:

-10

Step-by-step explanation:

: Resolver el sistema de ecuaciones por el método de reducción. -x + 3y = 6 x + y = 2

Answers

Answer:

$x=0\ny=2$

Step-by-step explanation:

El método de reducción también llamado Suma y Resta, consiste en multiplicar una o ambas ecuaciones de tal manera que los coeficientes de una de las incógnitas sean iguales y de signo contrario, de tal forma que se eliminen al sumar las ecuaciones.

Nuestras ecuaciones son:

$-x+3y=6\nx+y=2$