Answer:
9:19
Step-by-step explanation:
Total number of students = 28
Number of boys = 19
Number of girls = Total number of students - Number of boys = 28-19 = 9
Therefore, ratio of girls to boys = Number of girls/Number of boys = 9/19 = 9:19
For the equation
.. x - y = 4
you can divide by 4 to put the equation into intercept form. This form shows you both interecepts at once.
.. x/4 +y/(-4) = 1
The x-intercept is (4, 0).
The y-intercept is (0, -4).
The graph is shown below.
Let x = amount of time the Arlen family must catch up to
overtake the Harris family
In principle, the Harris and the Arlen family should cover
the same distance. Since distance is speed x time,
45 (6+y) = 58y
270 + 45y = 58y
58y - 45y = 270
y = 270 ÷ 13
y= 20.77min
The answer is 7 1/2 becasue if you add the whole #s then the fractions you get the answer
Answer:
52 Trees
Step-by-step explanation:
If she plants 85 trees per acre, each tree will yield 80 bushels of fruit.
Yield = 85 X 80
Let x be the additional tree planted per acre.
For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.
Therefore, the yield:

Next, we maximize F(x) by taking its derivatives and solving for its critical point.


It is apparent that she currently has too many trees per acre. To get a maximum harvest, she needs to reduce the number of trees by approximately 32.5 trees.
Therefore, number of trees per acre she should plant:
85+(-32.5)
=85-32.5
=52.5 Trees
Since the number of trees can only be an integer and it cannot be greater than 52.5, the number of trees to be planted per acre to maximize her harvest is 52.