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Goryan [66]
3 years ago
10

The sum of two numbers is 36. Twice the first number minus the second is 6. Find the numbers.

Mathematics
1 answer:
kkurt [141]3 years ago
3 0

Hey there!!

Let's take the two numbers as 'x' and 'y'

The sum of these two numbers is 36.

... x + y = 36

Twice the first number minus the second is 6.

... 2x - y = 6

Now, we have two equations.

_______________________________________________________

... x + y = 36  

... 2x - y = 6

Now, let's add both the equations.

... 3x = 42

Divide each side by 3.

... x = 42 / 3

... x = 14

<em>Hence, the first number is'14'. </em>

We know the sum of both the numbers is 36.

... x + y = 36

... 14 + y = 36

Subtract 14 on both sides.

... y = 36-14

... y = 22

<em>Hence, the second number is 22. </em>

<em>The numbers are 14 and 22. </em>

Hope my answer helps!!

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slega [8]

Answer:

The compounded annually account will earn more interest over 10 years

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

  • P is the original value
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  • t is the time

The rule of the compounded interest is A = P(1+\frac{r}{n})^{nt}, where

  • A is the new value
  • P is the original value
  • r is the rate in decimal
  • n is the number of periods
  • t is the time

The interest I = A - P

∵ Each account start with $200

∴ P = 200

∵ They have an interest rate of 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ One account earns simple interest and the other is compounded  

   annually

∴ n = 1 ⇒ compounded annually

∵ The time is 10 years

∴ t = 10

→ Substitute these values in the two rules above

∵ I = 200(0.05)(10)

∴ I = 100

∴ The simple interest = $100

∵ I = A - P

∵ A = 200(1+\frac{0.05}{1})^{1(10)}

∴ A = 325.7789254

∵ I = 325.7789254 - 200

∴ I = 125.7789254

∴ The compounded interest = $125.7789254

∵ The simple interest is $100

∵ The compounded interest is $125.7789254

∵ $125.7789254 > $100

∴ The compounded annually account will earn more interest

   over 10 years

6 0
3 years ago
Currently, in Littlefield, jobs arrive at 12 per day and you have (just) enough capacity at each station (i.e., the departure ra
OlgaM077 [116]

Answer:

The WIP limit is 0.50 days.

Step-by-step explanation:

The Computation of WIP limits:

to begin with, it is required to compute the process and procedure efficiency which will be computed as follows:

Value Added Time = 12 days (arriving time)

Non-Value-Added Time = 12 days (departure time)

Efficiency = Value Added / (Value Added + Non-Value Added)

                = 12 / (12+12)

                = 12 / 24

               = 0.50 or 50%

the most obligatory throughput time will be 0.25 days to realize the profits

WIP limit = Throughput time / Efficiency  

               = 0.25 / 50%

               = 0.50 days.

The WIP limit is 0.50 days.

6 0
3 years ago
Serafina is solving a number puzzle that involves three integers. Integers, e, f, and g, where e is negative. The product of e a
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a

Step-by-step explanation:

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3 years ago
The sum of three numbers is 24. Twice the middle number is 2 more than the largest number, and the largest number is equal to th
harina [27]

Answer:

  • x = 5, y = 7, z = 12

Step-by-step explanation:

<u>Let the numbers be x, y and z</u>

  • x + y + z = 24
  • 2y = z + 2
  • z = x + y

<u>Solving by substitution:</u>

  • x + y + z = z + z = 24
  • 2z = 24
  • z = 12

  • 2y = z + 2
  • 2y = 12 + 2
  • 2y = 14
  • y = 7

  • z = x + y
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<u>The answer:</u>

  • x = 5, y = 7, z = 12
8 0
3 years ago
Help me please fast ​
Natalija [7]

Answer:

Step-by-step explanation:

\frac{5}{x-3}+\frac{2}{x+1}=3  \\\\\frac{5(x+1)+2(x-3)}{(x-3)(x+1)} =3\\\\5x+5+2x-6=3(x-3)(x+1)\\\\7x-1=3(x^2+x-3x-3)\\\\7x-1=3(x^2-2x-3)\\\\7x-1=3x^2-6x-9\\\\0=3x^2-6x-7x-9+1\\0=3x^2-13x-8

Hence proved!

3 0
3 years ago
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