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MAXImum [283]
3 years ago
8

Please help. If you answer correctly and give an explanation I'll give you 5 stars, thanks, and brainliest.

Mathematics
1 answer:
timama [110]3 years ago
3 0

The solution of the equation is  x=\frac{11}{7}

Step-by-step explanation:

To simplify an equation of x

  • Simplify each side of the equation
  • Collect x in side and the numerical terms in the other side
  • Find the value of x

∵ The equation is 2x + \frac{1-x}{4}=3

- Multiply all terms of the equation by 4 to cancel the denominator

 of the 2nd term in the left hand side

∵ The equation is 4(2x) +4 (\frac{1-x}{4})=4(3)

∴ 8x + (1 - x) = 12

∴ 8x + 1 - x = 12

- Add like terms

∴ (8x - x) + 1 = 12

∴ 7x + 1 = 12

- Subtract 1 from both sides

∴ 7x = 11

- Divide both sides by 7

∴ x=\frac{11}{7}

The solution of the equation is  x=\frac{11}{7}

Learn more:

You can learn more about the solution of an equation in brainly.com/question/11306893

#LearnwithBrainly

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A quadratic equation is shown below: 2x2 − 10x − 8 = 0 Part A: Describe the solution(s) to the equation by just determining the
dangina [55]
PART A:

The given quadratic equation is 2x²-10x-8=0

The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c

From the given equation, we have
a = 2
b = -10
c = -8

Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164

The radicand is >0 hence the quadratic equation has two distinct roots

PART B:

4x²-12x+5 = 0

We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12

The pair of number is -2 and -10
Rewriting the equation 
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0

2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
6 0
4 years ago
100 equals 15 minus x divided by 5
zloy xaker [14]
The answer is -485. 

To find this we first need to get rid of the 5 in the denominator. 

100 = \frac{15 - x}{5}

So we multiply each side by 5. 

 500 = 15 - x

Now we need to get rid of the 15. So we subtract 15 from both sides. 

485 = -x

Then since our x is negative, we need to divide by -1. 

-485 = x
7 0
3 years ago
2657ml converted to liter is?
Luda [366]

Answer: 2657ml converted to liters is 2.657

Step-by-step explanation: hope this helps

4 0
2 years ago
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complete the steps to find the quotient of 492 ÷ 6. enter your answer in the space.step 1( ___÷6) +(180÷ 6)+( ____÷ 6) step 2 __
uranmaximum [27]
I'll go thru the problem and then you fill in the blanks yourself.
          
            8   2
    ________
6 /   4   9   2
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8 0
4 years ago
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Addie walked 2 1/2 miles in 45 minutes. Suzie covered 2 2/5 miles in 2/3 of an hour.
N76 [4]

Answer:

Suzie's speed was 3.6 mph

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

s ----> the speed in mph (miles per hour)

x ----> the distance in miles

y ----> the time in hours

so

s=\frac{x}{y}

Find Suzie's speed

we have

x=2\frac{2}{5}\ mi

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substitute

s=2\frac{2}{5}:\frac{2}{3}

Convert mixed number to an improper fraction

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substitute

s=\frac{12}{5}:\frac{2}{3}=\frac{36}{10}=3.6\ mph

3 0
3 years ago
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