1) In a proportion: y/x=k
k is your constant of proportionality.
x is your independent variable and y is your dependent variable.
Since you need 3 oz of flour for each 2 oz of sugar, y=3 and x=2.
So k=1.5 (3/2)
3)
a) y/x as a showed above. This question is very similar to #1.
b) y/x=k
3x^2 + 5xy - 2y^2
Simplifying:
3x^2 + 5xy + - 2y^2
Reorder Terms:
5xy +3x^2 + - 2y^2
Factor a Trinomial.
(3x + - 1y)(x + 2y)
Final Result:
(3x + - 1y)(x + 2y)
Hope this helps!!!
Answer:
A = 150°
Step-by-step explanation:
In the parallelogram ABCD, A and D are adjacent angles.
We know that in a parallelogram, adjacent angles are supplementary.
Therefore,
A + D = 180° --- (1)
But, it is given that angle A is 5 times angle D.
So, A = 5D
Substitute in (1), we get,
5D + D = 180
6D = 180
D = 30
A = 5D
= 5(30)
= 150
Hence, A = 150°
80% of 10% = 0.8 x 10% = 8%
Answer:
15 ounces of red beans
Step-by-step explanation:
So, we know Kim's soup contains a total of 75 ounces of beans, including red beans (r) and black beans (b), so r + b = 75
Then we know that for each ounce of red beans, there are 4 ounces of black beans, 1b = 4r
Then we merge both equations by replacing b's value in the first equation by its equivalent (b = 4r), since we are looking for the count of red beans.
r + b = 75
r + 4r = 75
5 r = 75
r = 15
There are 15 ounces of red beans in Kim's soup, that looks a lot like the last chili I made :-)
