9+3|5-x|=24 What is the lines for and how do I solve X with them?

Mathematics

2 answers:

qwelly [4]3 years ago

5 0

Answer:

x=0,10

Step-by-step explanation:

Ivahew [28]3 years ago

4 0

Answer:

the lines represent absolute value bars

$x=0,10$

Step-by-step explanation:

STEP 1: Move all terms not containing |5−x| to the right side of the equation.

$3|5-x|=15$

STEP 2: Divide each term by 3 and simplify.

$|5-x|=5$

STEP 3: Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

STEP 4: Set up the positive portion of the ± solution.

$5-x=5$

STEP 5: Solve the first equation for x.

$x=0$

STEP 6: Set up the negative portion of the ± solution.

$5-x=-5$

STEP 7: Solve the second equation for x.

$x=10$

NOTE: The solution to the equation includes both the positive and negative portions of the solution.

$x=0,10$

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Rufus appears before Bill and Ted and offers them a bogus proposition: they must paint a house together with their magical guita

jolli1 [7]

Answer:

6.79

Step-by-step explanation:

-Let X denote the total amount of the job.

-The job has to be done in 5 hrs, therefore the portion done every hour is:

$Rate=\frac{Total}{Time}\\\\=\frac{X}{5}\\\\=\frac{1}{5}X=0.2X$

Therefore, the rate of Bill and Ted working jointly must equal the rate calculated above:

$R_{Bill}=\frac{X}{19}\\\\=\frac{1}{19}X\\\\R_{Bill}+R_{Ted}=R_{required}\\\\\frac{1}{19}X+R_{Ted}=\frac{1}{5}X\\\\R_{Ted}=\frac{1}{5}X-\frac{1}{19}X\\\\=\frac{14}{95}X\\\\\therefore \frac{14}{95}X=1\ hr\\\\X=1\div \frac{14}{95}\\\\=6.7857\approx 6.79$ $hrs$