Which of the following best describes the slope of the line below? A. Undefined B. Positive O C. Zero D. Negative
1 answer:
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Answer:
System of inequalities:
,
1) Maximum number of sundaes possible = 9
2) Maximum number of milkshakes possible = 6
3) Combination that uses the most of both Ice-cream and Strawberries = 7 scoop of ice-cream and 1 scoop of strawberries.
Step-by-step explanation:
Given : A sundae requires 3 ice-cream scoops and 4 strawberries, and a milkshake requires 2 ice-cream scoops and 6 strawberries.
Ramses wants to make sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries.
Let x denote the number of sundaes he makes and y the number of milkshakes he makes.
First we represent in tabular form,
Sundae(x) Milkshake(y) Total
Ice-cream 3 2 3x+2y
Strawberries 4 6 4x+6y
→System of inequalities:
Sundaes and milkshake with at most 25 ice-cream scoops=
Sundaes and milkshakes with at most 37 strawberries =
→ Plotting the equations in the graph (figure attached)
1) Maximum number of sundaes possible:
Maximum no. of sundaes possible when y=0
From the graph y=0 at x=9.25
Therefore, Maximum number of sundaes possible is 9
2) Maximum number of milkshakes possible:
Maximum no. of milkshakes possible when x=0
From the graph x=0 at y= 6.167
Therefore, Maximum number of milkshakes possible is 6
3) Combination that uses the most of both Ice-cream and Strawberries:
Combination of both is possible there is a intersection of both the equation
From the graph intersection point is x=7.6 and y=1.1
Therefore, Combination that uses the most of both Ice-cream and Strawberries = 7 scoop of ice-cream and 1 scoop of strawberries.
Step-by-step explanation:
At first you need to take its lateral surface area by using the perimeter of base of the triangle and the height of prism.
Then after calculating it you need to find out its total surface area which is asked in the question and that is calculated by adding the area of both triangles of the prism in the lateral surface area.
Then that's your answer.
