Answer:
You should make 250 quarts of Creamy Vanilla and 200 of Continental Mocha to use up all the eggs and cream.
Step-by-step explanation:
This problem can be solved by a first order equation
I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.
The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 700 eggs in stock, so:
2x + y = 700.
The problem also states that each quart of Creamy Vanilla uses 3 cups of cream and that each quart of Continental Mocha uses 3 cups of cream. There are 1350 cups of cream in stock, so:
3x + 3y = 1350
Now we have to solve the following system of equations
1) 2x + y = 700
2) 3x + 3y = 1350
I am going to write y as function of x in 1) and replace it in 2)
y = 700 - 2x
3x + 3(700 - 2x) = 1350
3x + 2100 - 6x = 1350
-3x = -750 *(-1)
3x = 750
x = 250
You should make 250 quarts of Creamy Vanilla
Now, replace it in 1)
y = 700 - 2x
y = 700 - 2(250)
y = 700 - 500
y = 200.
You should make 200 quarts of Continental Mocha
Answer:
192 inches or 16 feet.
Step-by-step explanation:
Surface area is height x width x length, plug in your numbers are you get:
8 inches x 2 inches x 12 inches = 192 inches
Notice that the box has a total os 4 + 5 + 3 = 12 balls, since there are 4 that are yellow, then, the probability to randomly obtaining a yellow ball in a single draw is:
therefore, the probability is 0.33 = 33%
Answer:
slope = 2
Step-by-step explanation:
To find the slope, we need to read 2 points off the graph.
Where the line crosses the y-axis, the point is (0, 2.5).
The next point up on the line looks like (1, 4.5).
slope = m = (difference in y)/(difference in x)
To find the difference in y and difference in x, subtract the y-coordinates and the x-coordinates, respectively, in the same order.
difference in y = 4.5 - 2.5 = 2
difference in x = 1 - 0
slope = m = (difference in y)/(difference in x) = 2/1 = 2
Isolate the variable by dividing each side by factors that don't contain the variable.
x= 13/4 - y/4
If you are solving for x (only)
X = 45/4 - y/4
If you are solving for y (only)
Y= 45- 4x
