Tutors Answer Your Questions about Linear-systems (FREE)
Question 1179283: A 100-point test contains a total of 30 questions. The multiple choice questions are worth 3 points each and the short response questions are worth 5 points each.
Write and solve a system of equations to find the number of MC questions (x) and the number of short response questions (y).
Click here to see answer by mananth(16946)   |
Question 1179282: a kicker on the football team scores 1 point for making and extra point and 3 points for making a field goal. The kicker makes a total of 53 kicks for the season (Including extra points and field goals) and scores a total of 89 points. Write and solve a system of equations to find the number of extra points (x) and the number of field goals (y).
Click here to see answer by ewatrrr(24785)  |
Question 1179282: a kicker on the football team scores 1 point for making and extra point and 3 points for making a field goal. The kicker makes a total of 53 kicks for the season (Including extra points and field goals) and scores a total of 89 points. Write and solve a system of equations to find the number of extra points (x) and the number of field goals (y).
Click here to see answer by greenestamps(13200)  |
Question 1179384: Write the system of linear equations represented by the augmented matrix. Use x, y, and, if necessary, z, for the variables.
[2 3 8|-2]
[5 0 3| 4]
[5 6 0| 2]
a) 2x + 3y + 8z = -2
5x + 3z = 4
5x + 6z = 2
b) 2x + 3y + 8z = -2
5x + 3z = 4
5x + 6y = 2
c) 2x - 3y + 8z = -2
5x + 3z = -4
5x + 6y = -2
d) 2x + 3y + 8z = -2
5x + y + 3z = 4
5x + 6y + z = 2
Click here to see answer by ikleyn(52792)  |
Question 1179771: A chemical company makes two brands of antifreeze. The first brand is 30% pure antifreeze, and the second brand is 60% pure antifreeze. In order to obtain 90 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Click here to see answer by ewatrrr(24785) |
Question 1179771: A chemical company makes two brands of antifreeze. The first brand is 30% pure antifreeze, and the second brand is 60% pure antifreeze. In order to obtain 90 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?
Click here to see answer by josgarithmetic(39618) |
Question 1179825: A private investment club has $500,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high-risk, medium-risk, and low-risk. Management estimates that high-risk stocks will have a return rate of 15%; medium-risk stocks, 10%; and low-risk stocks, 6%. The members have decided that the investment in low-risk stocks should be equal to the sum of the investments in the stocks of the other two categories. Determine how much the club should invest in each type of stock if the investment goal is to have a return of $50,000 on the total investment. (Assume that all the money available for investment is invested. Let x, y, and z denote the amount, in dollars, invested in high-, medium-, and low-risk stocks, respectively.)
Click here to see answer by Theo(13342)  |
Question 1180010: A family has two cars. the first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. during one particular week, the two cars went a combined total of 1325 miles, for a gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by josgarithmetic(39618) |
Question 1180010: A family has two cars. the first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. during one particular week, the two cars went a combined total of 1325 miles, for a gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?
Click here to see answer by ikleyn(52792) |
Question 1179998: The cost for a rental car is $49.95 per day plus a flat fee of $31.95 for insurance. The equation, C=49.95x+31.95 represents the total cost, C (in dollars), to rent the car for x days. Identify the slope and interpret the meaning of the slope in the context of this equation. Identify the C-intercept and interpret the meaning of the C-intercept in the context of this equation. How much would it cost to rent the car for 1 week?
Now that you've used that example of an equation in slope-intercept form, please give an example of another calculation similar to this.
Click here to see answer by Theo(13342) |
Question 1180346: Will someone please help me with this problem?
A tree that is 8 feet tall is growing at a rate of 2 feet each year. Another tree that is 10 feet tall is growing at a rate of 1 foot each year. Determine how many years it will take for the two trees to reach the same height.
Click here to see answer by mananth(16946) |
Question 1180346: Will someone please help me with this problem?
A tree that is 8 feet tall is growing at a rate of 2 feet each year. Another tree that is 10 feet tall is growing at a rate of 1 foot each year. Determine how many years it will take for the two trees to reach the same height.
Click here to see answer by greenestamps(13200) |
Question 1180346: Will someone please help me with this problem?
A tree that is 8 feet tall is growing at a rate of 2 feet each year. Another tree that is 10 feet tall is growing at a rate of 1 foot each year. Determine how many years it will take for the two trees to reach the same height.
Click here to see answer by josgarithmetic(39618) |
Question 1180494: in yoga class, all of the students are lined up according to height. Andy notices that the number of students who are taller than he is one-fourth the number of students who are shorter than he. Violetta notices that there are 3 times as many students who are taller than she than students who are shorter than she. How many students are the class is there are fewer than 40 students?
Click here to see answer by ikleyn(52792) |
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