Answer:
- <u>Two equivalent fractions with whole numbers may be 180/150, or 6/5</u>
- <u>The height of the tree is 39.6 feet.</u>
Explanation:
The diagram provides the proportion of the heights to the shadows:
From that you are asked (i) to simplify the fraction of the right side to one with whole numbers.
You can do that in two steps by multiplying both numerator and denominator by 10:
You can simplify that fraction if you divide by the greatest common factor of 180 and 150, which is 30:
The second part (ii) asks to find the height of the tree, that is x. To solve for x you can multiply both sides by the denominator of the fraction on the left and then simplify:

Thus, the height of the three is 39.6 feet.
Answer:
y =
x+
Step-by-step explanation:
Okay, the first thing to do here is calculate something known as the "slope".
We know two points are ( 1 , 5 ) and ( − 2 , 3 )
The slope is represented by "m" in the standard form: y = mx+b
The slope is also known as the rise over the run, y2-y1/x2-x1 =
=
=> the standard form: y =
x+b
Now we have to use the slope, and resubstitute another point to get b
5 =
(1) + b
<=> b= 5-
=
So the equation that model the line is: y =
x+
Each bag of popcorn was $3.33 dollars because you divide 40 dollars by 12 bags. That is how you get your answer.
38 (average) - 29.777 (this year) = 8.223 inches less this year than the average year.