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SVEN [57.7K]
3 years ago
12

The difference between two numbers is 12. Four times the larger number decreased by 25 equals 48 increased by 3 times the smalle

r number. Find the numbers.
Mathematics
1 answer:
Lostsunrise [7]3 years ago
7 0

Step-by-step explanation:

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The difference between two numbers is 12.  Three times the larger number is seven times the smaller.  What are the two numbers? 

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JEEW-M  | CERTIFIED EDUCATOR

Let us say the two numbers are x and y and x>y.

The data we have are;

Difference between the numbers are 12.

3 times larger number is equal to 7 times smaller number.

Then we can write;

 ----(1)

 ----(2)

 

From (1) we can say 

Then substituting  to (2) gives;





      

        

 

Then;





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Answer:

10.3

Step-by-step explanation:

From these question, we can illustrate the playground has a small rectangle with 30x12ft

the walkway is around it with an area of 1288ft²

the playground area = 30 x 12 = 360ft²

the length dimension of the walkway is 30+y+y( these is because the walkway is round the playground in two sides) = 30 +2y

the breadth dimension of the walkway is 12+y+y ( these is because the walkway is round the playground in two sides) = 12+2y

Area of walkway = (30+2y)(12+2y)= 30(12+2y)+2y(12+2y) = 360+60y+24y+4y²= 360+84y+4y²

The total area = 1288ft²

The total area = area of walkway - area of playground

1288ft² = 360+84y+4y² - 360

choose like terms

1288 = 360-360+84y+4y²

1288 = 84y+4y²

divide by 4

322= 21y+y²

y²+21y-322 =0

using quadratic formula

x= (-b±√b²-4ac)/2a = {-21±√21²-4(1)(-322)}/2x1 =  {-21±√441+1288}/2x1  = -21±√1729/2

-21+√1729/2   -21-√1729/2

√1729 = 41.5812457726

-21+√1729/2   -21-√1729/2

{-21+41.5812457726}/2   {-21-41.5812457726}/2

20.5812457726/2          -62.5812457726/2

10.2906228863              -31.2906228863

we disregard the negative sign

our width is 10.2906228863 ≅10.3

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3 years ago
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Suppose that the probability that a child living in an urban area in the United States is obese is 20%. If a social worker sees
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Answer:

The probability the event that none of them are obese is 0.0352.

Step-by-step explanation:

<h3>Binomial distribution:</h3>

A discrete random variable X having to the set {0,1,2,3....,n} as the spectrum, is said to have binomial distribution with parameters n= the number of trial, and p= probability of successes on an individual trial , if the p.m.f of X is given by,

P(X=x)=\left(\begin{array}{c}n\\x\end{array}\right) p^x(1-p)^{n-x} for x=0,1,2,...,n

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where 0<p<1 and  n an positive integer,

Given that,

The probability of the event that a child living in an urban area in the united state is obese is 20%.

n=Number of children = 15, p= 20%= 0.20.

The probability the event that none of them are obese is

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3 years ago
I don't get this I need help
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Any quadrilateral which can be inscribed in a circle, is called a cyclic quadrilateral.


The main theorem about these quadrilaterals is the following:

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This means, m(∠S)+m(∠Q) =180°, 

thus 

(7x-2)+(5x+14)=180

12x+12=180

12x=168

x=168/12=14

Thus the measures of angles Q and S are respectively:

7x-2 = 7*14-2=96 (degrees) and 

5x+14=5*14+14=6*14=84 (degrees)

Answer: D 
   
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The number line shows four points. Which point represents the approximate location of 83?
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Answer: point A


Hope this helped have a nice day
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