Answer:
<em>Beck actually caught 45 fish</em>
Step-by-step explanation:
<u>System of Equations</u>
We call the following variables:
x = number of fish Ally caught
y = number of fish Beck caught
They caught a total of 75 fish, thus:
x + y = 75 [1]
If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:
3y = 2x + 75 [2]
From [1]:
x = 75 - y [3]
Substituting in [2]:
3y = 2(75 - y) + 75
Operating:
3y = 150 - 2y + 75
Simplifying:
5y = 225
Dividing by 5:
y = 45
Beck actually caught 45 fish
Answer:
Step-by-step explanation:
Girls:Total number of people
89:235
89:47
Answer:
Directrix
Step-by-step explanation:
The <u>directrix</u> of a parabola is the line, along with a point not on the line (which is the <em>focus</em>), which is used to generate a parabola. The <em>directrix</em> is parallel either to the x- or y-axis, and is perpedicular to the parabola's axis of symmetry (at x = h).
Therefore, the correct answer is "<u>directrix</u>."
Answer:(9y-7)(9y+7)
Step-by-step explanation:
81y^2-49
=(9y)^2-(7)^2
=(9y-7)(9y+7)
Answer:
The simplified form of r^-7 + s^-12 is ----> 1/r^7 + 1/s^12
Step-by-step explanation:
