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maks197457 [2]
3 years ago
9

Marcus painted one third of his bedroom in fourth fifths of an hour. At this rate, how long would it take him the paint the enti

re room? five twelfths hour twelve fifths hours fifteen fourths hours four fifteenths hour
Mathematics
2 answers:
almond37 [142]3 years ago
6 0
The rate that Marcus works is  (1/3) of the job in (4/5) of an hour....

(1/3)/(4/5)=1/h

(1/3)(5/4)=1/h

5/12=1/h

5h=12

h=12/5

So Marcus will take 12/5 hours to complete the job.
padilas [110]3 years ago
6 0

Answer:

12/5 hours

Step-by-step explanation:

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Divide -3x^3-2x^2-x-2 by x-2
Rasek [7]

Let's do this by Briot-Ruffini


First: Find the monomial root


x - 2 = 0

x = 2


Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2


Copy the first coeficient


2 | -3 -2 -1 -2

-3


Multiply him by the root and sum with the next coeficient


2.(-3) = -6

-6 + (-2) = -8


2 | -3 -2 -1 -2

-3 -8


Do the same


2.(-8) = -16

-16 + (-1) = -17


2 | -3 -2 -1 -2

-3 -8 -17


The same,


2.(-17) = -34

-34 + (-2) = -36


2 | -3 -2 -1 -2

-3 -8 -17 -36


Now you just need to put the "x" after all these numbers with one exponent less, see


2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36


You may be asking what exponent -36 should be, and I say:


None or the monomial. He's like the rest of this division, so you can say:


(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)


Just divide the rest by the monomial.

5 0
3 years ago
A company manufactures cell phones. In August, a random sample of 125 cell phones was inspected, and 3 phones were found to be d
german

Answer:

192

Step-by-step explanation:

To find how many phones are expected to be defective, we need to represent the values in a fraction.

\dfrac{x}{8000}=\dfrac{3}{125}

x = number of defective phones

Now we can solve this using algebra.

To get the value of x we need to multiply both sides by 8000 to leave x alone.

x=\dfrac{3}{125}(8000)

x=0.024(8000)

x=192

So around 192 cell phones are expected to be defective out of 8000 phones.

6 0
3 years ago
Tessa takes her friends out to lunch and the total cost of the meal is $120.30. Tessa left a 20% tip for the waitress. How much
Naddika [18.5K]

Answer:

$24.06

Step-by-step explanation:

20%(120.30) = 0.2*120.3 = $24.06

4 0
3 years ago
The standard New York state license plate has three letters followed by four digits. How many different
Verizon [17]

Answer:

175,760,000 possible license plates

Step-by-step explanation:

There are 3 spots where there are 26 choices each  

= 26 ^3

and 4 spots where there are 10 choices each (the digits 0 through 9,  

= 10 ^4

This gives:

26^3*10^4=175,760,000

Hope this Helps...!!

8 0
3 years ago
The sum of 2 numbers is 20 and their product is 90. What are the two numbers? (Note: Write the smaller number first.)
DIA [1.3K]

The two numbers are 8 and 12.

When added, you get a sum of 20.

When multiplied, you get a product of 96.

4 0
3 years ago
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