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CaHeK987 [17]
3 years ago
9

Which of the following is equal to 5 4/9

Mathematics
2 answers:
zlopas [31]3 years ago
8 0
Which following? Let me give you choice. Just multiply the whole number (5) by the denominator (9), you will get 45. Lastly add the 45 to the numerator (4). Which is 49/9.
dusya [7]3 years ago
4 0
These are simple, just multiply your numerator by 5<span>. So 4 * </span>5<span>/9 = 20/9 = 2.22.</span>


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What is the distance between the lines y = 2x and y = 2x+5? Round your answer to the nearest tenth.
Ilia_Sergeevich [38]

The distance between both lines is 2.24 units

Step-by-step explanation:

There is no straight method to find the distance between two lines. The distance can be found out by finding a point on one line and then finding the distance of that point from the other line. The y-coordinate of point is obtained by putting any value of x in equation . The x and y combined give us the point.

Given

y=2x\\Putting\ x=1\\y=2(1)\\y=2\\So, the\ point\ on\ y=2x\ is\ (1,2)

We have to find the distance of this point from y=2x+5

y=2x+5\\Subtracting\ y\ from\ both\ sides\\y-y=2x+5-y\\2x-y+5=0

The formula for finding distance of a point (x,y) from a line is:

d=\frac{|Ax+By+C|}{\sqrt{A^2+B^2}}

A=2

B=-1

C=5

Putting the values in the formula

d=\frac{|(2)(1)+(-1)(2)+5|}{\sqrt{(2)^2+(-1)^2}}\\d=\frac{|2-2+5|}{\sqrt{4+1}}\\d=\frac{|5|}{\sqrt{5}}\\d=\frac{5}{\sqrt{5}}\\d=2.236\ units

Rounding off will give: 2.24 units

The distance between both lines is 2.24 units

Keywords: Equations of lines

Learn more about distance in lines at:

  • brainly.com/question/7449065
  • brainly.com/question/7490805

#LearnwithBrainly

7 0
3 years ago
Eight more than the product of four and a number is twice the sum of the number and six. Write an equation that can be used to s
masha68 [24]
4n+8=2(n+6)
Now isolate the n on one side of the equation:
4n+8=2n+12(distribution of the 2)
4n=2n+4(combine like terms)
2n=4(combine like variables)
N=2(isolate the n)

The answer is 2
Good luck!
3 0
3 years ago
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y &lt;
Mandarinka [93]
Part A:
 The first thing you should do is to graph both lines. Notice that one is of positive slope and another of negative slope.
 The solution of the inequation system is given by the shaded region. That is, all the points that are in the shaded region satisfy the system of inequations.
 Part B:
 the point (-2, -2) is NOT included in the solution area (it is not in the shaded region.
 Mathematically it is demonstrated by substituting inequalities and seeing that they are not satisfied
 inequality 1
 -2 <4 (-2) - 2
 -2 <-10 (false)
 inequality two
 -2> = - (5/2) (- 2) - 2
 -2> = 3 (false).

6 0
3 years ago
X+4y=6<br> 3x+3y=9<br> Answer is 6.3 but how
maksim [4K]

Answer:

X = 2

Y = 1

Step-by-step explanation:

x + 4y = 6

3x + 3y = 9

3x + 12y = 18

3x + 3y = 9

9y = 9

x + 4y = 6

y = 1

x + 4 * 1 = 6

y = 1

x + 4 = 6

y = 1

x = 2

so there ia only 1 solution for this equation is (2;1)

Done :))

8 0
3 years ago
The groundhog population of​ Punxsutawny, Pennsylvania is closely monitored each year. Two years ago the population decreased by
kap26 [50]

Answer:

There was a increase of 1.7% over these three​ years

Step-by-step explanation:

Multipliers:

For a decrease of a%, we multiply by: \frac{100-a}{100}

For a increase of a%, we multiply by: \frac{100+a}{100}

What was the percentage​ increase/decrease of groundhogs over these three​ years?

Decrease of 12%(multiplication by 0.88).

Increase of 6%(multiplication by 1.06).

Increase of 9%(multiplication by 1.09).

After these three years:

0.88*1.06*1.09 = 1.017

1.017 - 1 = 0.017

0.017*100% = 1.7%

There was a increase of 1.7% over these three​ years

3 0
3 years ago
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