Total amount of water is 14 1//2 gallons:
14 1/2 = 29/2
To find how many 11/4 gallon buckets fit in a 29/2 gallons water tank:
29/2 ÷ 11/4
which is also equal to:
29/2 × 4/11
Multiply numerators: 29 × 4 = 116
Multiply denominators: 2 × 11 = 22
Number of buckets = 116/ 22 or 5 6/22 gallons
If option is in decimal, it is: 5.2727 gallons
<h3><u>
Question:</u></h3>
Complete the equation of the line whose slope is -2 and y intercept is (0,3)
<h3><u>Answer:</u></h3>
The equation of the line whose slope is -2 and y intercept is (0,3) is y = -2x + 3
<h3><u>
Solution:</u></h3>
Given that line has slope of -2 and y - intercept of (0, 3)
We have to find the equation of line
The equation of line can be found by using the slope intercept form
<em><u>The slope intercept form is given as:</u></em>
y = mx + c
Where "m" is the slope of line and "c" is the y-intercept
Here given that slope = m = -2
y - intercept is the y-coordinate of a point where a line intersects the y-axis.
So here y intercept is (0, 3) and we get c = 3
Substituting the values in slope intercept form we get,
y = -2x + 3
Thus the equation of line is found
Answer: the system of linear equations has no solutions.
Step-by-step explanation:
The given system of linear equations is expressed as
2x -3y =1 - - - - - - - - - - - - -1
-4x+6y=-4 - - - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 2 and equation 2 by 1. It becomes
4x - 6y = 2
- 4x + 6y = - 4
Adding both equations, it becomes
4x - 4x - 6x + 6x = 2 - 4
0 = -2
Therefore, there is no solution to the system of linear equations
Answer:
8: C
9: D
10: C
11: D
Step-by-step explanation:
On number 8, the pattern is by starting from 3, and squaring it. Then you take that square and square it again. So 3 squared is 9, and then you square 9 which is 9 times 9 giving you 81. Then you square 81 giving you 6561.
9: Negative exponents work by flipping the number upside down, and then doing normal exponential work on the now denominator.
If the number is 5 to the power of -3, you are flipping 5 to 1/5 and then doing 5 to the power of 3 which is 5x5x5 giving you 125. Therefore the answer would be 1/125.
10 is the same thing as number 9 except backwards, so you flip 1/2^3 to 2^-3
11 is similar, except you have 3.471 times 1/10000
So you add 4 zeros in front of the 3.471 turning it into 0.0003471
