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Anni [7]
3 years ago
5

A bucket contains 11 2/3 gallons of water and 5/6 is full. How many gallons of water would be in a full bucket? Write a multipli

cation and division equation to represent the situation.
Mathematics
2 answers:
SVEN [57.7K]3 years ago
8 0

Answer:  14 gallons of water

Step-by-step explanation:

A bucket contains 11 2/3 gallons of water and 5/6 full

to fill the bucket will be 6/6 0r 1 full and contain ? gallons

using proportion

1 / (5/6) * 11 2/3 gallons of water

6/5 * 1 * 11 2/3 = 14 gallons of water

vagabundo [1.1K]3 years ago
7 0

Answer:

14 gallons

Step-by-step explanation:

If 11 2/3 gallons represents 5/6 full bucket then we can equate that

x=1 full

x=\frac {11 2/3}{5/6}=14

Therefore, the bucket requires 14 gallons

You might be interested in
Lucy kicks a shuttlecock into the air from a height of 0.6 feet
SpyIntel [72]

Answer:

4.6 feet

Step-by-step explanation:

The equation is:

h=-16t^2+vt+s

Where

v is initial velocity (given as 16)

s is initial height (given as 0.6)

Substituting, we can write:

h=-16t^2+16t+0.6

This is a quadratic equation of the general form:  at^2+bt+c

Which we can conclude the coefficients to be:

a = -16

b = 16

c = 0.6

The max height occurs at the value:  t=-\frac{b}{2a}

So, max height occurs at:

t=-\frac{16}{2(-16)}\\t=0.5

We will get the max height if we put  t = 0.5  into the original equation. So that would be:

h=-16t^2+16t+0.6\\h=-16(0.5)^2+16(0.5)+0.6\\h=4.6

Max Height = 4.6 feet   (occurs at t = 0.5 seconds)

8 0
4 years ago
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8
mojhsa [17]
{ x + 3 y = 7      * ( - 2)
 2 x + 4 y = 8 

{ - 2 x - 6 y = - 14
    2 x + 4 y = 8
_______________
             -2 y =  - 6   * ( -1)

 2 y = 6

y = 6 / 2

y = 3

For x :

2 x + 4 y = 8

2 x + 4 * ( 3) = 8

2 x + 12 = 8

2 x = 8 - 12

2 x = - 4

x = - 4 / 2

x = - 2

Solution:   x = -2    and  y = 3 

hope this helps!

8 0
3 years ago
What is the slope of the line?​
CaHeK987 [17]

Answer:

#1 Slope= -3 #2 Slope=

Step-by-step explanation:

4-1/1-2=

3/-1=

= -3

-4-1/4-3=?

= -5/1

= -5

6 0
3 years ago
Read 2 more answers
What is the geometric mean of 14 and 20?
leonid [27]
<span>the geometric mean of 14 and 20 is 16.7332005307</span>
3 0
4 years ago
Read 2 more answers
Find the sum of 2.5+3.03
Alenkasestr [34]

Answer: 5.53


Step-by-step explanation:

this is a straight forward addition

2.5+3.03 =5.53

to be clear or to specify, use the decimal point to make the sum:

2.5 = 2 + 0.5       and 3.03 = 3 + 0.03

2+3= 5      and  0.5 + 0.03 = 0.53

5 + 0.53 = 5.53 (but this is to long just to make it clear)


5 0
3 years ago
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