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Modeled the word problem mathematically like system of equations and solve by the matrix method.
A company's employees are working to create a new energy bar. They would like the two key ingredients to be peanut butter and oats, and they want to make sure they have enough carbohydrates and protein in the bar to supply the athlete. They want a total of 31 carbohydrates and 23 grams of protein to make the bar sufficient. Using the following table, create a system of two equations and two unknowns to find how many tablespoons of each ingredient the bar will need. Solve the system of equations using matrices. Show all work to receive full credit.
Grams of Nutrients per Tablespoon
Carbohydrates
Protein
Peanut Butter
2
6
Oats
5
1
Write an equation for the total amount of carbohydrates.
Janet can shovel snow from her driveway in 50 minutes. Tom can do the same job in 35 minutes. How long would it take Janet and Tom to shovel the driveway if they worked together?
Determine the number of moles of atoms in a 22.89 g sample of a metal whose molar mass (MM) is 58.69 g.
If q is the number of quarts of lemonade , then (1/4) q can be used to find the number of cups of lemonade mix needed to make the lemonade. How much mix is needed to make each amount of lemonade.
A rectangular field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the field's dimensions?
A 25.5 foot ladder rests against the side of a house at . a point 24.1 feet above the ground. The foot of the ladder. is x feet from the house. Find the value of x to one decimal place.
How much will he have to deposit into the account each month in order to reach this target after 25 years? (Give your answer, in dollars, correct to the nearest cent.)
What is the unpaid balance at the end of the 6th year? Show the formula that you used and the values used for each variable to calculate the unpaid balance at the end of the 6th year.
finding the exact value of cosalpha-betalet cos alpha 2425 where alpha has its terminal side in the first quadrant and
In the game of bridge, each of 4 players is dealt 13 cards. If a certain player has no aces, find the probability that that person's partner has:
NCTM math standards to include learning goals & objectives, a lesson plan to include differentiation of instruction to address the diverse needs of students and problem solving strategies plus informal and formal assessments that align with object..
Find the length of an arc intercepted by an a central angle of .769 radian on a circle with radius 11.4cm.
what is the largest interval on which the solution is guaranteed to exist for the following initial value problem? (do not actually solve the equation)
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