All categories

2 years ago

X-70/x<-3 solve for x under the assumption that x>0

1 answer:

4 0

Simplifying 0x + 7 + 5x = 2x + 30 + 40 Anything times zero is zero. 0x + 7 + 5x = 2x + 30 + 40 Combine like terms: 0 + 7 = 7 7 + 5x = 2x + 30 + 40 Reorder the terms: 7 + 5x = 30 + 40 + 2x Combine like terms: 30 + 40 = 70 7 + 5x = 70 + 2x Solving 7 + 5x = 70 + 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. 7 + 5x + -2x = 70 + 2x + -2x Combine like terms: 5x + -2x = 3x 7 + 3x = 70 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 3x = 70 + 0 7 + 3x = 70 Add '-7' to each side of the equation. 7 + -7 + 3x = 70 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 70 + -7 3x = 70 + -7 Combine like terms: 70 + -7 = 63 3x = 63 Divide each side by '3'. x = 21 Simplifying x = 21

You might be interested in

Select the correct expressions.

olchik [2.2K]

Answer:

A linear algebraic equation is nice and simple, containing only constants and variables to the first degree (no exponents or fancy stuff). To solve it, simply use multiplication, division, addition, and subtraction when necessary to isolate the variable and solve for "x". Here's how you do it: 4x + 16 = 25 -3x =

5 0

2 years ago

(08.01 MC)Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing le

Mazyrski [523]

Answer:

Dan is correct

Step-by-step explanation:

From the question, we have:

$Hours:1\ 2\ 3\ 4\ 5$

Required

The average

The average hour is calculated using:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{1+2+3+4+5}{5}$

$\bar x = \frac{15}{5}$

$\bar x = 3$

Dan calculated the mean as 3; while Bret calculated the mean as 4.

Hence, we can conclude that Dan s correct

4 0

2 years ago

Let x^2+18x=44 . What values make an equivalent number sentence after completing the square?

Lostsunrise [7]

To find the final term to compete the square you need to divide the 'x' term by 2 then square it

$x^2 +18x + = 44+ \\ x^2+18x+( \frac{18}{2} )^2=44+( \frac{18}{2} )^2 \\ x^2+18x+9^2=44+9^2 \\ x^2+18x+81=44+81 \\ (x+9)^2=125$ - equivalent equation

6 0

2 years ago

Read 2 more answers

NEED ANSWER ASAP PLEASE WILL GIVE BRAINLIEST An integer n is divided by 2 and the quotient is an even integer. What does this te

Nesterboy [21]

Answer:

$n$ is a multiple of 4

Step-by-step explanation:

Let's think about this.

Even numbers are basically numbers that, when divided by 2, get us an integer.

This means that $n$ must be an even integer.

However,

Every other even number, when divided by 2, gets you an odd integer.

This means that every second even number, $n \div 2$ gets us an even number.

This also means that every time $n \div 2$ is an even number, n will be a multiple of 4 (as $2\cdot 2 = 4$ ).

Test this out with any even number that's a multiple of 4 (all multiples of 4 are even numbers)

Hope this helped!

4 0

2 years ago

Audrina uses 9.7 pints of blue paint and white paint to paint her bedroom walls. 3 5 of this amount is blue paint, and the rest

Lady bird [3.3K]

Answer:

6.2 pints of white paint.

Step-by-step explanation:

9.7 is the sum of both paints used to pain her bedroom walls. If we know that 3.5 of the 9.7 was blue, we can safely assume that the remainder of the paint was white, thus 9.7 - 3.5 = 6.2

7 0

2 years ago