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yanalaym [24]
3 years ago
6

Find the value of x in (4x -5) = 7(x -5)​

Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

Answer: x = 10

Step-by-step explanation:

( 4 x − 5 ) = 7 ( x − 5 )

Simplify  7 ( x − 5 ) .

4 x − 5 = 7 x − 35

Move all terms containing  x  to the left side of the equation.

− 3 x − 5 = − 35

Move all terms not containing  x  to the right side of the equation.  

− 3 x = − 30

Divide each term by   − 3  and simplify.

x = 10

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Car A is traveling east at a steady speed of 60 miles per hour. After 2 hours, it is 150 miles east of Johnstown.
Evgesh-ka [11]

Answer:

Its D.

Step-by-step explanation:

Just did it.

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Find the midpoint of the line segment defined by the points: (5, 4) and (−2, 1) (2.5, 1.5) (3.5, 2.5) (1.5, 2.5) (3.5, 1.5)
Setler79 [48]

Answer:

\boxed {\boxed {\sf (1.5 , 2.5)}}

Step-by-step explanation:

The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.

(\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).

  • x₁= 5
  • y₁= 4
  • x₂= -2
  • y₂= 1

Substitute these values into the formula.

( \frac {5+ -2}{2}, \frac {4+1}{2})

Solve the numerators.

  • 5+ -2 = 5-2 = 3
  • 4+1 = 5

( \frac {3}{2}, \frac{5}{2})

Convert the fractions to decimals.

(1.5, 2.5)

The midpoint of the line segment is (1.5 , 2.5)

3 0
3 years ago
When 5 times a number is added to 45 the answer is the sm of 85 and 140 what is the number
zimovet [89]

Hello.

First, let the number be r.

5 times r is written like this:

\rm{5r}

Now, add 45:

\mathrm{5r+45}

Now, the sum of 5r+45 is equal to the sum of 85 and 140:

\mathrm{5r+45=85+140}

In order to solve this equation, we need to add 85 and 140:

\mathrm{5r+45=225}

Now, subtract 45 from both sides:

\mathrm{5r+45-45=225-45}

\mathrm{5r=225-45}

\mathrm{5r=180}

The last step is to divide both sides by 5:

\mathrm{r=36}

Therefore, the answer is

\rm{r=36}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

8 0
2 years ago
Factor and solves the polynomial <br> x(to the 2nd power) + 5x + 4 = 0<br> x= (blank) and x= (blank)
zubka84 [21]

Answer:

x = -4~ \text{and}~ x = -1

Step-by-step explanation:

~~~~~~~x^2 +5x +4  =0\\\\\implies x^2 +4x +x  +4 = 0\\\\\implies x(x+4) +(x+4) = 0\\\\\implies (x+4)(x+1) = 0\\\\\implies x = -4,~~ x = -1

3 0
2 years ago
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