Answer:
<h2>
Q 11. A and E</h2><h2>
Q 12. A</h2><h2>
Q 13. 4/3 cups of sugar</h2>
Step-by-step explanation:
The points (1, 3) and (15, 45) are proportional to point (3, 9) since they correspond with each other so if you multiply the point (1, 3) by a factor of 3, it would be (3, 9). If you divided the point (15, 45) by a factor of 5, it would be (3, 9).
In this equation, 2.95 represents the price of the gallons since it is being multipied by g, or the number of gallons.
If you were to multiply 2/3 cup of sugar and 1/2 cup of flour by 2, I would get 4/3 cups of sugar and 1 cup of flour. Why did I do this? Well, she uses 1 cup of flour so you can divded 1 by 1/2 is which 2.
Hope this helps, you can ask me why certain choices were not correct if you'd like.
slope formula : y2-y1/x2-x1
find the slope: -4-(-4) = 0 . 0-2= -2
0/-2
Your answer is 9. Hope this helps, if not, please comment below!
Answer:
Distance = 10 km
Step-by-step explanation:
Let x be the number of hours taken from school to town and y be the number of hours taken back to the school
Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.
=> 10x = 8y
Dividing both sides by 2
=> 5x = 4y
=> 5x-4y = 0 ------------------(1)
<u><em>The total time for both the trips is:</em></u>
=> x + y = 2.25 -------------------(2)
Multiplying eq (2) by 5
=> 5x+5y = 11.25 ---------------(3)
Subtacting (3) from (1)
=> 5x-4y-5x-5y = 0-11.25
=> -4y-5y = -11.25
=> -9y = -11.25
Dividing both sides by -9
=> y = 1.25 hrs
Putting in (2)
=> x + 1.25 = 2.25
=> x = 2.25 - 1.25
=> x = 1 hr
<u><em>Now, Calculating the Distance</em></u>
=> Distance = 10x
=> 10 ( 1 )
=> Distance = 10 km