Answer:
Step-by-step explanation:
Quotient means what you get when you divide a number by another number.
What we can do is make an equation using the information given, which turns out to be this:
Add 2.
Multiply by 6.
3 months
We can use a systems of equations to find when the values will equal each other, with x equal to months
Lara's Puppy: 0.5x+3.5
Monica's Puppy: x+2
Now create an equation for these puppy's weights to equal each other, and solve:
0.5x+3.5=x+2
0.5x=1.5
x=3
It took 32 minutes for Ella to go to school on Friday.
Step-by-step explanation:
Time for first four days in minutes,
30,28,34,31
Let x be the time on Friday
Average = 31 min
As we know
Multiplying both sides by 5;
It took 32 minutes for Ella to go to school on Friday.
Keywords: Average, Addition
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If x is directly proportional to y, it means that as x increase, y also increases and vice versa. This could be done another way. Since I am already given a point of x and y, I could simply find the difference between x and y, which would be 12 in this case. To find the x value when y is 24, I would simply either add or subtract that difference. Depending on which of the x or y value is higher. In this case, since we are solving for y and y is larger than x, I would subtract it. Meaning x would be 12.
81x^2 - 4y^2 Note this is the difference of 2 perfect squares
a^2 - b^2 = (a + b)(a - b)
so here we have a = 9x and b = 2y
and our factors are
(9x + 2y)(9x - 2y)
the dimensions are 9x + 2y and 9x - 2y