All categories

3 years ago

Solve the equation 6.8x + 9.3 = -9.4 + 3.4 (2-5x)

Mathematics

2 answers:

STatiana [176]3 years ago

7 0

Answer:

x = -.5

Step-by-step explanation:

6.8x + 9.3 = -9.4 + 3.4 (2-5x)

Distribute the 3.4

6.8x + 9.3 = -9.4 + 6.8 - 17x

Combine like terms

6.8x + 9.3 = -2.6 -17x

Add 17x to each side

6.8x+17x + 9.3 = -2.6-17x+17x

23.8x +9.3 = -2.6

Subtract 9.3 from each side

23.8x +9.3-9.3 = -2.6-9.3

23.8x = -11.9

Divide by 23.8

23.8x/23.8 = -11.9/23.8

x = -.5

neonofarm [45]3 years ago

3 0

Answer:

Step-by-step explanation:

$6.8x + 9.3 = -9.4 + 3.4 (2-5x)\qquad\text{multiply both sides by 10}\\\\68x+93=-94+34(2-5x)\qquad\text{use distributive property}\\\\68x+93=-94+(34)(2)+(34)(-5x)\\\\68x+93=-94+68-170x\\\\68x+93=-26-170x\qquad\text{subtract 93 from both sides}\\\\68x=-119-170x\qquad\text{add 170x to both sides}\\\\238x=-119\qquad\text{divide both sides by 238}\\\\x=-\dfrac{119}{238}\\\\\boxed{x=-\dfrac{1}{2}}$

You might be interested in

A square has diagonal length 9m. What is the side length of the square, to the nearest centimeter?

bazaltina [42]

636cm.

This can be found with the Pythagorean Theorem which will give you a side length of 4.5 $\sqrt{2}$ meters, which rounds to roughly 636cm.

8 0

3 years ago

What is the next term in the following sequence? 12,6,3,...

stira [4]

This sequence keeps dividing by 2. So, you would divide 3 by 2 and you would get 1.5.

3 0

3 years ago

Negative one-sixth of a number is less than -9. write an inequality.

sladkih [1.3K]

Answer:

-1/6 n < -9

Step-by-step explanation:

Negative one-sixth of a number

-1/6 n

is less than -9

-1/6 n < -9

3 0

2 years ago

Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.