Answer:
3 inches up per foot across
Step-by-step explanation:
The rate of change:
( y2 - y1 ) / (x2 - x1) = ( 18 in - 12 in ) / ( 6 ft - 4 ft ) =
= 6 in / 2 ft = 3 in / 1 ft
Answer:
p>-1 or p<-19
Step-by-step explanation:
4p-10<6p-8 (add 10 to each side)
4p< 6p+2 (subtract 6p from each side)
-2p<2 (divide by -2 and switch the sign)
p>-1
10p+16<9p-3 (subtract 16 from each side)
10p<9p+-19 (subtract 9p from each side)
p<-19
Answer:
50.5 m^3
Step-by-step explanation:
Volume of pyramid = 1/3 × base area × height.
- Height: 11
- Base Dimensions: 4.3 and 3.2
Area of Base:
Next, we multiply 13.76 by 11.
Lastly, divide by 3 and round to nearest tenth.
- 151.36 ÷ 3
- 50.453333..
- ≈ 50.5
Therefore, the answer is 50.5 m^3
A. The ratio of lynx to mountain lions to wolverines is 2:3:1.
Thus, there are 2 lynx in the ratio. If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.
Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.
b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem. Thus, the multiplier is 5, because 15/3=5.
Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.
c. There is one wolverine in the ratio, but there are 10 wolverines in the problem. Thus, the multiplier is 10, because 10/1 = 10
Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.
d. The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x.
2x + 3x + 1x = 30
This equation means that the total number of animals together is 30, which is true. Now let's simplify by combining like terms.
6x = 30
Finally, we can simplify by dividing both sides by the coefficient of x, or 6.
x = 5
Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.
Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines
Hope this helps! :)
If I translated correctly into my native language, then you need to write the equation of the straight line.
y=x this is a straight line through the first and third quarters.
1) multiply by 2: y= 2x
2) to raise the function by 3 units, you need to add 3 to it. For example: y=2x to bring it up: y=2x+3
