We have the following variable:
x = The amount of orange juice
We have the following equation:
x + (× + 100) + 1/2 × = 1850
We clear x:
(5/2) x + 100 = 1850
(5/2) x = 1850 - 100
(5/2) x = 1750
x = 1750 / ((5/2))
x = 700 ml
pineapple juice = × + 100 = 700 + 100 = 800 mL
strawberry juice = 1/2 × = (1/2) 700 = 350 mL
The difference is:
800 - 350 = 450 mL
Answer:
The difference in the amounts of pineapple juice and strawberry juice martin combined was:
450 mL
Answer:
Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds
Step-by-step explanation:
Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.
From the question, we know he wants to make 20 pounds of coffee
Thus;
x + y = 20 •••••••••••(i)
Let’s now work with the values
For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x
For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y
The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6
Thus by adding the two costs together we have a total of $139.6
So we have our second equation;
9.2x + 5.5y = 139.6 •••••••(ii)
From i, y = 20 - x
Let’s substitute this in ii
9.2x + 5.5(20-x) = 139.6
9.2x + 110 -5.5x = 139.6
9.2x -5.5x = 139.6-110
3.7x = 29.6
x = 29.6/3.7
x = 8 pounds
Recall;
y = 20 - x
y = 20-8
y = 12 pounds
Answer: you have it right
Step-by-step explanation:
When you have a point A and then transform it using a linear transformation (like rotation, reflections, etc.), we mark it as A' to say, "This is the point which corresponds to A after the transformations were applied". This establishes a link between the two, even though they may appear to be unrelated to someone looking at the graph.
