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Ilia_Sergeevich [38]
2 years ago
12

Solve for k : (5k - 2 )/ 3k =7

Mathematics
2 answers:
posledela2 years ago
8 0

Answer:

-⅛

Step-by-step explanation:

(5k - 2) / 3k = 7

5k - 2 = 21k

-2 = 21k - 5k

16k = -2

k = -⅛

avanturin [10]2 years ago
4 0

Answer:

-1/8

Step-by-step explanation:

simply criss cross and simplify and get the answer -1/8

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The quotient 250÷5/8 tells about how far a sloth may move in one hour. How far can a sloth go in 90 minutes?
Tema [17]

Given: A sloth may move in one hour = 250÷5/8.

let us simplify 250÷5/8 first.

Division sign can be convert into multiplication sign and flip the right side fraction 5/8 to 8/5.

250×\frac{8}{5}

Dividing 250 by 5, we get

= 50 × 8

Multiplying 50 and 8,  we get

= 400.

So, we could say, a sloth may move in one hour = 400 units.

We need to find distance covered in 90 minutes.

Let us convert 90 minutes into hours.

60 minute = 1 hour.

1 minute = 1/60 th of an hour.

and 90 minutes = 90 * 1/60 = 90/60 = 9/6 = 1.5 hours.

We already got above that a Sloth may move in one hour = 400 units.

Therefore, in 1.5 hours Sloth can move = 1.5 × 400 = 600 units.

So, a sloth go 600 units in 90 minutes .


8 0
4 years ago
A patient tells the nurse that she has smoked two packs of cigarettes a day for 20 years. the nurse records this as how many pac
Zina [86]
There are 365 days in a year 
2 packs x 365 days = 730 packs per year

check work:

730 divided by 2 = 365

5 0
4 years ago
A certain state uses the following progressive
mr_godi [17]

9514 1404 393

Answer:

  $3684

Step-by-step explanation:

The tax on the first $2000 is 0.02×$2000 = $40.

The tax on the next $9000 -2000 = $7000 is 0.05×$7000 = $350.

The tax on the next $70000 -9000 = $61000 is 0.054×$61000 = $3294.

Then the total tax due is $40 +350 +3294 = $3684.

The state income tax owed is $3684.

_____

<em>Additional comment</em>

For amounts over $9000, the tax owed can also be computed as ...

  tax = (income × 0.054) - $96

which we consider to be a much simpler calculation.

7 0
3 years ago
Quick test 2+2x68(8)=y
slava [35]

2176

Step-by-step explanation:

2+2=4 68(8)= 544

4× 68×8= 2176

4 0
3 years ago
Given the function f(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%7Cx%7C%7D%7Bx%7D" id="TexFormula1" title="\frac{|x|}{x}"
34kurt

Answer:

\displaystyle \lim_{x \to 0^-} f(x) = -1 \\ \lim_{x \to 0^+} f(x) = 1 \\ \lim_{x \to 0} f(x) = DNE

General Formulas and Concepts:

<u>Algebra I</u>

  • Graphing Functions
  • Function Notation

<u>Calculus</u>

Limits

  • Evaluating Limits Graphically
  • If \displaystyle \lim_{x \to a^-} f(x) =  \lim_{x \to a^+} f(x), then \displaystyle  \lim_{x \to a} f(x) exists

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle f(x) = \frac{|x|}{x}<u />

<u />

<u>Step 2: Graph/Evaluate</u>

<em>Graph the function so we can evaluate the given limits. See attachment.</em>

We see from the function that when we approach 0 from the left, we will get a -1.

∴ \displaystyle \lim_{x \to 0^-} f(x) = -1

We see from the function that when we approach 0 from the right, we will get a 1.

∴ \displaystyle \lim_{x \to 0^+} f(x) = 1

Since the limit from the left does not equal the limit from the right, the limit as <em>x</em> approaches 0 of f(x) does not exist (DNE).

5 0
3 years ago
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