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jolli1 [7]
3 years ago
5

Simplify the following expression. (30x^3-18x^2-24x)/6x

Mathematics
1 answer:
Licemer1 [7]3 years ago
3 0

Answer:

5x² - 3x - 4

Step-by-step explanation:

(30x^3-18x^2-24x has three separate terms, each of which is evenly divisible by 6x.  Performing this division, we get:

 5x² - 3x - 4, which is the simplest possible form of (30x^3-18x^2-24x) / 6x.

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Marine fuel is a combination of gasoline and motor oil. The standard gasoline and oil mixture is about 98% gasoline and about 2%
Georgia [21]

Answer:

0.98g+ 0.02m= 7.1224 gallons standard mixture

0.96g+ 0.04m= 6.25 gallons break oil

3.92 gallons of gasoline  is required for  4 gallons the standard mixture

Step-by-step explanation:

If we have to use 6 gallons of gasoline this means that 98%= 6 gallons and 2% would be 6/98*2

Gasoline: Motor oil

6              :    x

98        : 2

Using the product rule

x= 6*2/98= 0.1224 gallons of motor oil is required.

Let the gasoline be represented by g and motor oil by m then for the standard oil the equation would be

0.98g+ 0.02m= 7.1224 gallons standard mixture

For break in oil

Gasoline: Motor oil

6              :    x

96        : 4

Using the product rule

x= 6*4/96= 0.25 gallons of motor oil is required.

Let the gasoline be represented by g and motor oil by m then for the break oil the equation would be

0.96g+ 0.04m= 6.25 gallons break oil

Part b. For  4 gallons of the "break in" mixture

96% of the 4 gallons of the "break in" mixture is gasoline =  3.84 gallons of gasoline

4% of 4 = 0.16 gallons of motor oil

Now the standard mixture 4 gallons would contain 98 % of gasoline and 2 % of motor oil

98% of 4 gallons= 3.92 gallons of gasoline

2% of  4 gallons= 0.08 gallons of motor oil.

6 0
3 years ago
joe is in debt $250, but he's saving $30 each month. using the equation, y=30x-250, how long will it take joe to have $230?
Vsevolod [243]

Answer:

16

Step-by-step explanation:

so in this equation we have 2 variables, and we must figure out what those variables mean:

y: "y" is the total amount of money joe has after subtracting his debt from it

x: "x" is the # of months as the cost of each month(30) is placed just before this variable

as y is the total amount of money joe has we need to substitute it for 230 to figure out how long it took for joe to recieve that much money

230=30x-250

480=30x

x=16

it took joe 16 months to get $230

3 0
3 years ago
3x−5(x−6)=2(10−x)<br> What does x equal?
quester [9]

Answer:

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the closest whole number approximation of √50?
mr_godi [17]

Answer:

7

Step-by-step explanation:

√50 is close to √49

49 is a perfect square, 50 is close to 49.

√49 = 7

√50 ≈ 7.071068

6 0
2 years ago
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Need to show work. <br> y + 12 = 41
AnnyKZ [126]

Answer:

y=29

Step-by-step explanation:

y+12 - 12 = 41 -12

y=29

6 0
3 years ago
Read 2 more answers
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