So the rise over run is 5/-4
To start off take 10 degrees/96 cups
If you look at the pattern the degrees go up by 5 and the cups go down by 4
So I believe the answer should be
25 degrees = 84 cups
Answer:
-9
Step-by-step explanation:
7+(-16) when adding a negative number, you subtract the negative from the other positive number
7-16
-9
Answer:
3y = 8x - 91
y = 8/3 * x - 30 1/3
Step-by-step explanation:
First we can find the slope of the second line.
Let's rewrite the equation as 8y=44-3x.
After dividing both sides of the equation by 8 we'll get an equivalent equation y = 5.5 - 3/8 * x. The coefficient of x is the slope -> the slope is -3/8. In order for the line to be perpendicular to this line the product of the slopes of two lines should be equal to -1 or in other words the slopes have to be opposite reciprocals of each other. The reciprocal of -3/8 is -8/3. Opposite to it is 8/3. Now we know the slop and the coordinates of a point on the line (given). Let's make the equation of the line in the form of y = mx+ b. We can plug in values for m, y and x. m = 8/3(slope), y=-9 (second coordinate of the point), x = 8 (first coordinate). We got
-9 = 8/3 * 8 +b
Now we need to solve the equation to find b
b =-91/3 or -30 1/3
Answer:
Ratio of their heights is 8 ft and 20 ft.
Step-by-step explanation:
It is given the volumes of similar prisms are 512 ft^3 and 8000 ft^3,
Please remember the concept if two shapes are similar and their sides are in the ratio a:b
Then their area is in the ratio of 
And their volume is in the ratio of 
So, if we take cube root of the given volumes it would give us the ratio of heights.
So, ratio of heights of similar shapes =![\sqrt[3]{512} :\sqrt[3]{8000}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B512%7D%20%3A%5Csqrt%5B3%5D%7B8000%7D)
Simplify them.
So, ratio of heights =8 : 20
