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kolbaska11 [484]
3 years ago
12

PLEASE HELP I WILL MARK YOU BRAINLIST PLEASE THANK YOU

Mathematics
1 answer:
satela [25.4K]3 years ago
6 0

Answer:

it is c

Step-by-step explanation:

the lines are parallel to each other

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mr. ken's class is collecting empty water bottles. they started with 17 water bottles on day 1. on day 3, they had 30 water bott
Oxana [17]

They had 23 and 38 water bottles on day 2 and day 4 respectively. Also, there will be 68 water bottles on day 7.

<u><em>Explanation</em></u>

Suppose, the equation representing the number of bottles is  y= ax^2 +bx+c , where x is the number of days.

There are 17 water bottles on day 1,  30 water bottles on day 3 and  47 water bottles on day 5

So, the three points in the form of (x, y) are:   (1, 17) , (3, 30) and (5, 47)

Plugging these three points into the above equation, we will get .....

17=a(1)^2 + b(1) +c\\ a+b+c=17 ............................ (1)\\ \\ 30=a(3)^2+b(3)+c\\ 9a+3b+c=30 ......................... (2) \\ \\ 47=a(5)^2+b(5)+c\\ 25a+5b+c=47 ......................... (3)

Subtracting equation (1) from equation (2) , we will get .....

8a+2b=13 ..................... (4)

Subtracting equation (2) from equation (3) , we will get .....

16a+2b=17 ...................... (5)

Now, subtracting equation (4) from equation (5) , we will get ......

16a -8a = 17-13\\ \\ 8a= 4\\ \\ a=\frac{4}{8}= 0.5

Substituting this a= 0.5 into equation (4) ........

8(0.5)+2b=13\\ \\ 4+2b=13\\ \\ 2b=9\\ \\ b=\frac{9}{2}=4.5

Again, substituting a=0.5 and b=4.5 into equation (1) , we will get ......

0.5+4.5+c=17\\ \\ 5+c=17\\ \\ c=17-5 =12

So, <u>the equation will be now</u>:  y= 0.5x^2 +4.5x+12

For finding the number of bottles on day 2 , day 4 and day 7 , we need to plug x=2 , 4, 7 respectively into the above equation.

For x= 2 ,  y= 0.5(2)^2 +4.5(2)+12 = 2+9+12= 23

For x= 4 ,  y= 0.5(4)^2 +4.5(4)+12 = 8+18+12= 38

For x= 7 ,  y= 0.5(7)^2 +4.5(7)+12 = 24.5+31.5+12= 68

So, they had 23 water bottles on day 2 and 38 water bottles on day 4

Also, there will be 68 water bottles on day 7


6 0
3 years ago
If you purchase 100 items that cost $.25 each, how much would the items cost all together?
gogolik [260]
$2.50 if I'm not mistaken :)
4 0
4 years ago
Read 2 more answers
The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side
Sedbober [7]

Answer:

204.2 cm

Step-by-step explanation:

equilateral means all sides are of equal length.

the perimeter of such a triangle is simply 3 times one of these sides.

so,

612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54

6x = 558.6

x = 93.1

so, a single side is

0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm

to check

3×204.2 = 612.6 = the original perimeter.

so, correct.

8 0
3 years ago
What is 4 9/6 as a mixed number
navik [9.2K]

Answer:

33

Step-by-step explanation:

6x4+9= 33

8 0
3 years ago
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Evaluate the expression 2.5 with an exponent of 2
love history [14]
The answer is 6.25



Explained: since 2.5 has an exponent of 2, you multiply 2.5 by itself, and get 6.25



2.5 x 2.5 = 6.25


Hope This Helps
6 0
3 years ago
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