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3 years ago

Nilai x yang memenuhi persamaan linier dari 2x-7/2=3-6-5x/6 adalah

Mathematics

1 answer:

emmainna [20.7K]3 years ago

5 0

2x-7/2 = 3-6-5x/6
⇒ 2x+ 5x/6= -3+ 7/2
⇒ 2 5/6x= 1/2
⇒ x= (1/2)/ (2 5/6)
⇒ x= 3/17

The final answer is x= 3/17~

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Neil has 3 partially full cans of white paint.They contain 1/3 gallon,1/5 gallon,and 1/2 gallon of paint.About how much paint do

Wittaler [7]

Answer:

less than 1 1/2 gallons

Step-by-step explanation:

1/3 + 1/6 = 1/2, so the sum of the three cans is more than 1 by the difference between 1/5 and 1/6. That difference is 1/30 gallon. The sum is 1 1/30 gallons, which is less than 1 1/2 gallons.

A suitable common denominator is 2·3·5 = 30. Then the sum of the fractions is ...

1/3 + 1/5 + 1/2

= 10/30 + 6/30 + 15/30

= 31/30 = 1 1/30 . . . . . less than 1 1/2

In decimal, 1/3 ≈ 0.333, 1/5 = 0.200, 1/2 = 0.500, so the sum is ...

0.333 +0.200 +0.500 = 1.033

which is less than 1.5.

4 0

3 years ago

Someone help me please and thank you!! ASAP :(

pantera1 [17]

<h3>Answer: Choice D) </h3>

Work Shown:

$(f+g)(x) = f(x)+g(x)\\\\(f+g)(x) = \frac{x-23}{x^2+9x-36}+\frac{1}{x+12}\\\\(f+g)(x) = \frac{x-23}{(x+12)(x-3)}+\frac{1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+x-3}{x^2+9x-36}\\\\(f+g)(x) = \frac{2x-26}{x^2+9x-36}\\\\$

We must require that $x \ne -12$ and $x \ne 3$ to avoid having 0 in the denominator. This is why choice D is the answer.

3 0

3 years ago

What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?

hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

All together: 5x - 15 -2x - 2 = 4

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

All together: 3x - 17 = 4

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

20 - 16 = 4

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0

2 years ago

1.What is the solution to the system of equations?

Ludmilka [50]

1. x=4, y=0
3. x=2.6666, y=0.3333

8 0

3 years ago

Julia and Cody are working together on solving math problems. For every one problem that Julia

slega [8]

Answer:

Cody has solved (12 × 12) = 144 problems.

Step-by-step explanation:

For every one problem that Julia completes, Cody completes twelve.

If Julia Completes x problems and Cody completes y problems, then we can write y = 12x ........ (1)

Now, given that the number of problems solved by Cody is one hundred twenty more than two times the number of problems solved by Julia.

Hence, 2x + 120 = y ......... (2)

Now, from equations (1) and (2) we get,

2x + 120 = 12x

⇒ 10x = 120

⇒ x = 12

Therefore, Cody has solved (12 × 12) = 144 problems. (Answer)

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3 years ago