Answer:
the line equation is 2*x - y = 3
Step-by-step explanation:
for the line equation in implicit form
A*x + B*y = C
then if the point (x=4,y=5) belong to the line
4*A + 5*B = C
and if the point (x=7,y=11) belong to the line
7*A + 11*B = C
then since we can choose C freely , we set C=1 for simplicity , then
4*A + 5*B = 1 → B= (1-4*A)/5
7*A + 11*B = 1
7*A + 11*(1-4*A)/5 = 1
7*A - 44/5*A + 11/5 = 1
-9/5*A = -6/5
A= 2/3
B= (1-4*A)/5 = (1-4*2/3)/5 = -1/3
therefore
2/3*x - 1/3*y = 1
2*x - y = 3
To solve this problem we can set up a proportion, letting x represent the unknown amount of cooking oil.
30 milliliters water/20 milliliters cooking oil = x milliliters water/ 50 milliliters cooking oil
30/20 = x/50
To solve this proportion, we can use cross products, also called the means extremes products theorem. This takes the products of the numerator and denominator from the separate fractions and sets them equal to one another. In this circumstance, it results in the equation:
(30)(50) = (x)(20)
When we multiply we get:
1500 = 20x
Finally, we have to divide both sides of the equation by 20 to get our variable x alone on the right side of the equation.
x = 75 milliliters
Therefore, the proportion is completed, as 30/20 = 75/50.
Answer: You need 75 milliliters of water.
All work is shown in the file down below :)
please mark brainliest :)
Answer:
Read the problem out loud to yourself.
Draw a Picture.
Think “What do I need to find?”
List what is given.
Find the key words.
Solve.
Check your work.
Step-by-step explanation: Hopefully this helped!
Answer:
243 .....................
