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Jlenok [28]
3 years ago
12

I WILL GIVE BRAINLIEST By what percent will the product of two numbers change if one of them increased by 20% and the other decr

eased by 20%? I already know that it becomes smaller but the number I don't know! Please help, and show work
Mathematics
2 answers:
nexus9112 [7]3 years ago
6 0

Answer:

Step-by-step explanation:

%change=100(final-initial)/initial

%change=100(1.2(0.8)ab-ab)/ab

%change=100(.96-1)

%change=-4%

So the product is decreased by four percent.

Setler [38]3 years ago
5 0

Answer:

Assume that the number is 100. Then, 20% of 100 is 20×100100 = 20. Increasing 100 by 20% means increasing 100 by 20 and the resultant number is 120.

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Two friends Ana and Juan are buying books by joining the History Book
Travka [436]

Answer:

Ana  spent $17  per book on average.

Juan  spent $14.78  per book on average.

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Step-by-step explanation:

Ana has to pay a yearly fee of $15 to join.

She spends a total of $525 for 30 books.

The amount spent on books = Total amount - yearly fee

                                                 = $525- $15= $510

Price per book on the average = $510/30= $ 17

Ana  spent $17  per book on average.

Juan has to pay a yearly fee of $10 to join.

He spends a total of $350 for 23 books.

The amount spent on books = Total amount - yearly fee

                                                 = $350- $10= $340

Price per book on the average = $340/23= $ 14.78≅ $15

Juan  spent $14.78  per book on average.

The function can be established if y gives the total cost and x gives the number of books

y = $15 + 17x--------- equation 1

y= $10 + 14.78 x------------- equation 2

Juan has a better deal because the yearly fee is less also the price per book is less.

8 0
3 years ago
Please help Need help
Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
   this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
8 0
3 years ago
Worth more<br> Points!!!!
Lilit [14]
-72-4x^2+8x^3-36x/x-3

-4(18+x^2-2x^3+9x)/x-3

-4(-2x^3+x^2+9x+18)/x-3

-4(-2x^2x(x-3)-5x x(x-3)-6(x-3) )/x-3

-4 x(-(x-3) ) x (2x^2+5x+6)/x-3

-4 x (-1) x (2x^2 +5x+6)



8x^2+20x+24
7 0
3 years ago
Read 2 more answers
Identify the postulate or theorem that proves p∥q. Please help!! <br><br> Given: ∠4≅∠6
Brilliant_brown [7]

<4 = <6

alternate interior angles theorem

Answer is the third option

8 0
3 years ago
Given the following diagram, find the missing measure. m 4 = 2x°, m 2 = (4/3)x°, m 3 = 20°, find x. 10 30 20 60
Pepsi [2]

Answer:

<em>B. 30 degrees</em>

Step-by-step explanation:

Find the diagram attached

From the diagram:

Interior angles are m<3 and m<2

Exterior angle = <4

using the rule that says that the sum of interior angles is equal to the exterior angle we have:

m<2+m<3 = m<4

(4/3)x°+20 = 2x°

multiply through by 3:

4x° + 60 = 6x°

4x°-6x° = -60

-2x° = -60

x°= -60/-2

<em>x° = 30°</em>

Hence the value of x is 30 degrees

5 0
3 years ago
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