To find the unit rate, we just divide.
So the unit rate is 1 hour = $14.
Answer: She should blend 98 lbs of high-quality beans.
She should blend 72 lbs of cheaper beans
Step-by-step explanation:
Let x represent the number of pounds of high quality beans that she should blend.
Let y represent the number of pounds of cheaper beans that she should blend.
She needs to prepare 170 lbs of blended coffee beans. This means that
x + y = 170
She plans to do this by blending together a high-quality bean costing $4.75 per pound and a cheaper bean at $2.00 per pound. The blend would sell for $3.59 per pound. This means that the total cost of the blend would be 3.59×170 = $610.3. This means that
4.75x + 2y = 610.3 - - - - - - - - - -1
Substituting x = 170 - y into equation 1, it becomes
4.75(170 - y) + 2y = 610.3
807.5 - 4.75y + 2y = 610.3
- 4.75y + 2y = 610.3 - 807.5
- 2.75y = - 197.2
y = - 197.2/-2.75 = 71.9
y = 72 pounds
x = 170 - y = 170 - 71.9
x = 98.1
x = 98 pounds
Answer:
x=3 and y=12
Step-by-step explanation:
equation:1
equation:2
Solving equation:1 for 'y' in terms of x
equation:3
Putting 'y' in equation:2 which will make the equation of the single variable
Putting value of 'x' in equation:3 to find 'y'
Well, if you convert 3.5 liters to 3,500 milliliters, all you do from there is do
3,750 - 3,500 = 250 milliliters
We are asked to find the number of combinations in which the 4 remaining flowers can be given to 4 flowers.
When she gives the next teacher a flower, there are 4 options. Next, there will only be 3 options since one flower was given away. Next there will be 2 options, and finally there will only be 1 flower left.
This means that there are:
4! = 4 * 3 * 2 * 1 = 24 ways to give the remaining flowers.
The answer is 24.
