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stira [4]
3 years ago
6

The total amount of water a tank can hold is 14 1/2 gallons. Raul wants to find out how many 1 1/4 gallon buckets of water can b

e
used to fill the tank. Which expressions could be used to represent this scenario? Select two options..
100 POINTS

Mathematics
2 answers:
sukhopar [10]3 years ago
8 0

Answer: \frac{29}{2}÷\frac{5}{4}, \frac{29}{2}×\frac{4}{5}

Step-by-step explanation: Let me know if you need an explanation.

expeople1 [14]3 years ago
8 0

Answer:

its a and e two options it said

Step-by-step explanation:

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Find an equation of the line in the form ax+by=c whose​ x-intercept is 12 and​ y-intercept is 4​, where​ a, b, and c are integer
Lostsunrise [7]

Answer:

The equation of the line  in ax+by=c  form where a,b,c  are integers with no factor common to all​ three, and greater than or equal 0 is:

x+3y=12

Step-by-step explanation:

Given:

x-intercept = 12

y-intercept = 4

To find the equation of line in the form ax+by=c where a,b,c  are integers with no factor common to all​ three, and greater than or equal 0.

Solution:

The x-intercept is the point at which the line cuts the x-axis. The point of x-intercept is given as (x,0)

Thus, on point of the line is (12,0)

The y-intercept is the point at which the line cuts the y-axis. The point of y-intercept is given as (0,y).

Thus, on point of the line is (0,4)

Using the two points we can find the slope of the line using the slope formula.

m=\frac{y_2-y_1}{x_2-x_1}

So, slope of the line can b given as:

m=\frac{4-0}{0-12}

m=\frac{4}{-12}

m=-\frac{1}{3}

The slope intercept form of the equation of he line is given as:

y=mx+b

where m represents slope of the line and b represents the y-intercept.

So, the equation of the line can be given as:

y=-\frac{1}{3}x+4

Multiplying each term by 3 to remove fraction.

3y=3.-\frac{1}{3}x+4(3)

3y=-x+12

Adding x both sides.

3y+x=-x+x+12

3y+x=12

Thus, the equation of the line  in ax+by=c  form where a,b,c  are integers with no factor common to all​ three, and greater than or equal 0 is:

x+3y=12

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