Answer:
Step-by-step explanation:
This question isn't worded the greatest, there are two ways you can read this.
1. The quotient of a number and -9, increased by 10, is 11
2. The quotient of a number, and -9 increased by 10, is 11
The first equation will look like this
And the second will look like this
So I have solved for both (I personally believe the second way of reading the question is the correct way)
Answer:
16cats and 19 birds
Step-by-step explanation:
if we say that x is birds and y is cats we can say that:
4.5x+8.5y=221.5 ( the amount birds and cat both need)
y+x =35 (number of cats and cats)
x=35-y
4.5(35-y) +8.5y= 221.5
157.5-4.5y +8.5y =221.5
4y=64
y= 16
16+x=35
x=19
Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.
Thus, the length of fencing needed is given by
P = x + 2y
The area of the rectangle is given by xy,
i.e.
Substituting for y into the equation for the length of fencing needed, we have
For the amount of fencing to be minimum, then
Now, recall that
Thus, the length of fencing needed is given by
P = x + 2y = 24 + 2(12) = 24 + 24 = 48.
Therefore, 48 feets of fencing is needed to enclose the garden.
If we represent Tobin's speed as x, we can write her opponent's speed as
x-2 (since Tobin is 2 more than them). In addition, since it's in miles per hour, and 45 minutes is 3/4 of an hour, we can say that 3/4ths of her speed in miles per hour is how long the race is, so (3/4)(x-2)=distance of race. In addition, since it only took Tobin 30 minutes, and 30 minutes is half an hour, x/2 (half of her miles per hour) is the length of the race, so (3/4)(x-2)=(1/2)x. Expanding it, we get 3x/4-6/4=x/2. Subtracting x/2 (or 2x/4) from both sides, we get x/4-6/4=0 and by adding 6/4 to both sides we get x/4=6/4. Multiplying 4 to both sides, we get that x=6=Tobin's speed in miles per hour
36x² - 100 = 4(9x²-25) = 4(3x+5)(3x-5)
B. 4(3x+5)(3x-5)
