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irakobra [83]
2 years ago
13

you are given an 8-gallon jug filled with water and also two empty jugs: one that holds 5 gallons and other that holds 3 gallons

. Using these three jugs, how much can you measure exactly 4 gallons of water. Explain
Mathematics
1 answer:
Yanka [14]2 years ago
8 0

Answer:

Step-by-step explanation:

We will use following steps to measure exactly 4 gallons of water with the help of 5 gallons and 3 gallons empty jugs.

1). Fill 3 gallons jug completely.

2). Pour this 3 gallons of water into 5 gallons jug. Now we have 3 gallons of water in 5 gallons jug and 3 gallons jug empty.

We can add 2 gallons of water in the empty space of 5 gallons jug more.

3). Fill the 3 gallons jug with the water again.

4). Pour this water into 5 gallons jug which can hold 2 gallons of water more.

Now we have 5 gallons of jug filled fully and 1 gallon water remaining in the 3 gallons jug.

5). Empty the 5 gallons jug completely.

6). Pour the remaining 1 gallon of remaining water in 3 gallons jug into 5 gallons jug.

7). Fill the 3 gallons jug completely and pour it into 5 gallon jug.

8). Finally we have 4 gallons of water in the 5 gallons jug.

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2 years ago
Please help <br><br> questions 12,14,16
notka56 [123]

Answer:

12) y=3x-15

14) y=-1/2x

16) y=13x-105

Step-by-step explanation:

Parallel lines always have the same slopes but different y-intercepts. So, we can make the equation (b is y-intercept of new equation):

12) y=3x+b

14) y=-1/2x+b

16) y=13x+b

now, we can plug in each of the coordinates given to these equations.

12) (4,-3): 4 is x, -3 is y.

       -3=3(4)+b

      simplify: b= -15

14) (-4,2): -4 is x, 2 is y

      2=-1/2(-4)+b

        simplify: b=0

16) (9,12): 9 is x, 12 is y

       12=13(9)+b

       simplify: b=-105

Now, plug in those numbers to your equation for b value.

12) y=3x-15

14) y=-1/2x

16) y=13x-105

*for 14 we don't need to write anything after -1/2x because b=0*

3 0
3 years ago
2a*5a⁷<br>what is this in it's smallest form​
Lelechka [254]

Answer:

Step-by-step explanation:

2a(5a^7)\\ \\ 2(5)a(a^7)\\ \\ 10a^{(1+7)}\\ \\ 10a^8

8 0
2 years ago
Read 2 more answers
The area of a rectangular glass slab is 80 square centimeters and its perimeter is 36 centimeters. If the length and width of th
netineya [11]

First, you have to find out the values of the length and width.

Let l = length and w = width.

Set up your equation for area: l * w = 80

Set up your equation for perimeter: 2l + 2w = 36

We can use substitution for this problem, so find out the value of l or w. In this case, I will use the first equation to find out the value of l.

(Divide w on both sides) l = 80 / w

Since I know that l = 80 / w, I can substitute it into the second equation.

2l + 2w = 36, and l = 80 / w

= 2 (80/w) + 2w = 36

Simplify the equation.

= 160/w + 2w = 36

Get rid of the w in the denominator by multiplying the entire equation by w.

= ( 160/w + 2w = 36 ) * w

= 160 + 2w^{2} = 36w

= 2 ( w - 8 ) ( w - 10 )

The solutions for width (w) is 8 or 10. Then, you can use both 8 and 10 as your length and width, either or is fine. Multiply by 4 for each of those values and you get 8 x 4 = 32 and 10 x 4 = 40. The new perimeter would be 2(32) + 2(40) =

a. 144 cm

Hope this helped you! Let me know if there are any confusions :)


4 0
3 years ago
Sayyida has a circular garden of radius 21m. She ran round the garden twice. what distance did she cover?​
yawa3891 [41]

answer

C = 263.76 m

Step-by-step explanation:

C = 2×pi×r

C = 2×3.14×21

C = 131.88 m

For 2 rounds,

C = 131.88 x 2

C = 263.76 m

7 0
2 years ago
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