All categories

3 years ago

-x - 1 = 221 + 2x plzzzzzzzzz help

1 answer:

5 0

$Simplifying
-1x + -1 = 221 + 2x

Reorder the terms:
-1 + -1x = 221 + 2x

Solving
-1 + -1x = 221 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-1 + -1x + -2x = 221 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-1 + -3x = 221 + 2x + -2x$
$Combine like terms: 2x + -2x = 0
-1 + -3x = 221 + 0
-1 + -3x = 221

Add '1' to each side of the equation.
-1 + 1 + -3x = 221 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 221 + 1
-3x = 221 + 1

Combine like terms: 221 + 1 = 222
-3x = 222

Divide each side by '-3'.
x = -74

Simplifying
x = -74$

You might be interested in

19.75 with a 6 percent tax

Helga [31]

Answer:

20.935

Step-by-step explanation:

19.75×6/100=1.185

19.75+1.185=20.935

5 0

3 years ago

Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.

Arte-miy333 [17]

Answer:

x = 6

y = 45 degrees

Step-by-step explanation:

Here, we want to get the measure of x and y

For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees

This mean y is 45

To get x, we know we have an isosceles triangle

So the length of the third ungiven leg is x too

Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides

(6 √2)^2 = x^2 + x^2

72 = 2x^2

x^2 = 72/2

x^2 = 36

x = √36

x = 6

4 0

3 years ago

What is the solution set of |2x + 1| > 5?

yKpoI14uk [10]

Step-by-step explanation:

$|2x+1|>5\\\implies 2x+1>5 \: \text{or} \: 2x+1>-5\\\implies 2x>4 \: \text{or} \: 2x>-6\\\implies x>2 \: \text{or} \: x>-3\\\text{Solution set:} x\in ( -\infty, -3)\cup (2, +\infty)$

6 0

3 years ago

A person 6 feet tall standing 18 feet away from a lamppost casts a 9 foot shadow. When the same person moves 4 feet farther from

Len [333]

Answer:

<h2>12 feet 8 inch long cast a shadow</h2>

Step-by-step explanation:

A person 6 feet tall standing 18 feet away a lamppost cast a 9 foot shadow.

than move 4 feet than total distance is 22 feet

According to trigonometry rule make 30 degree angle

$tan\left ( 30\ \right )^{o}=\frac{p}{b}$

$\left ( \frac{1}{\sqrt{3}} \right )=\left ( \frac{x}{18+4} \right )$

$x\sqrt{3}=22$

than

$x=\frac{22}{\sqrt{3}}$

$=12feet$ $8 inch$ answer

3 0

4 years ago

If a scale distance of 3.5 inches on a map represent an actual distance of 175 km what actual distance does a scale distance of

gavmur [86]

Considering the definition of map and scale, an actual distance of 269.59 km represent a scale distance of 5.7 inches .

<h3>Definition of map and scale</h3>

A map is a representation of a place, at a size smaller than the real size.

The scale of a cartographic representation is the relationship of similarity between the real dimensions of the geographical space represented and those of its image on the map. That is, the scale is defined as the proportionality relationship that exists between a distance measured on the ground and its corresponding measurement on the map.

One way to represent the scale is by a fraction, which indicates the proportion between the distance on a map and its corresponding distance in reality:

$Scale=\frac{distance on the map}{distance in reality}$

<h3>Actual distance in this case</h3>

In this case, you know that a scale distance of 3.5 inches on a map represent an actual distance of 175 km.

To know the real distance that represents a scale distance of 5.7 inches, as the scale ratio is the same as in the previous case, it is expressed:

$\frac{3.7 inches}{175 km}=\frac{5.7 inches}{distance in reality}$