Tutors Answer Your Questions about Inequalities (FREE)
Question 1017007: You budget $200 for wooden planks for outdoor furniture. Cedar cost $2.50 per foot and pine costs $1.75 per foot. Let x = the number of feet of cedar and let y = the number of feet of pine. What is an inequality that shows how much of each type of wood can be bought? Graph the inequality. What are three possible amounts of each type of wood that can be bought within your budget?
Click here to see answer by JulietG(1812)   |
Question 1017332: The Fujita Scale (F-scale) is the official classification system for tornado damage. One factor used to classify a tornado is wind speed. According to the chart below, which inequality shows the range of wind speeds for an F4 tornado?
Graph:
f0: 40 - 72
f1: 73 - 112
f2: 113 - 157
f3: 158 - 206
f4: 207 - 260
f5: 261 - 318
Answers:
t < 207 or t > 260
t ≤ 207 or t ≥ 260
207 < t < 260
207 ≤ t ≤ 260
Thanks!
Click here to see answer by rothauserc(4718)  |
Question 1017332: The Fujita Scale (F-scale) is the official classification system for tornado damage. One factor used to classify a tornado is wind speed. According to the chart below, which inequality shows the range of wind speeds for an F4 tornado?
Graph:
f0: 40 - 72
f1: 73 - 112
f2: 113 - 157
f3: 158 - 206
f4: 207 - 260
f5: 261 - 318
Answers:
t < 207 or t > 260
t ≤ 207 or t ≥ 260
207 < t < 260
207 ≤ t ≤ 260
Thanks!
Click here to see answer by FrankM(1040)  |
Question 1017435: In a class in which the final course grade depends entirely on the average of four equally weighted 100-point tests, Lisa has scored
76,
91, and
83 on the first three. What range of scores on the fourth test will give Lisa a B for the semester (an average between
80 and
89, inclusive)? Assume that all test scores have a non-negative value.
Express your answer in interval notation.
Click here to see answer by Boreal(15235)  |
Question 1018615: Part 1. Rewrite the inequality as an equivalent pair of inequalities without absolute values or as a 3-part inequality.
|4x+5| -7>/=8
***>/= means greater than or equal to. not =8
Part2. Solve the inequality.
Part 3. Express answer in interval notation, and in set builder notation. Express where shaded area is on number line.
Click here to see answer by Boreal(15235) |
Question 1018639: A Table Affair, which sells European tablecloths at local farmers markets, has the following weekly revenue and cost functions:
R(t) = 120t
C(t) = 40t + 700
where R(t) represents the weekly revenue in dollars for selling t tablecloths and C(t) represents the weekly costs in dollars for selling t tablecloths. Find the number of tablecloths A Table Affair must sell to break-even or make a profit.
A Table Affair must sell at least____table cloths to break even or make a profit.
Click here to see answer by toddcarnes(6)  |
Question 1018971: The perimeter of a rectangle is 210 feet. Describe the possible lengths of a side if the area of the rectangle is not to exceed 2250 square feet.
Your answer should be one interval in each box.
ANSWER: The length (in feet) of a side is in the interval....
or in the interval....
Click here to see answer by josgarithmetic(39613) |
Question 1018921: |2-3x| < 8
Part 1.
Rewrite the inequality as an equivalent pair without absolute values or as a 3 part inequality.
Part 2. Solve the inequality from step 1 by isolating x.
Part 3. Express answer from part 2. in interval notation and in set-builder notation.
Click here to see answer by robertb(5830)  |
Question 1018970: Use the position function
\qquad s(t) = -16t^2 + v0t + s_0
\qquad v_0 = {initial velocity},
s_0 ={initial position}, t ={time}
to answer the following question.
You throw a ball straight up from a rooftop 122 feet high with an initial velocity of 96 feet per second. During which time period will the ball's height exceed that of the rooftop?
ANSWER: Between
and
seconds.
Click here to see answer by Alan3354(69443)  |
Question 1020057: Formulate but do not solve the following exercise as a linear programming problem.
A farmer plans to plant two crops, A and B . The cost of cultivating crop A is $45/acre whereas that of crop B is $65/acre. The farmer has a maximum of $8640 available for land cultivation. Each acre of crop A requires 18 labor-hours, and each acre of crop B requires 27 labor-hours. The farmer has a maximum of 3546 labor-hours available. If she expects to make a profit of $150/acre on crop A and $200/acre on crop B, how many acres of each crop, x and y, respectively, should she plant in order to maximize her profit, P?
---Select--- Maximize or Minimize P = ?? subject to the constraints
cost ??
labor ??
x ≥ 0
y ≥ 0
Click here to see answer by solver91311(24713)  |
Question 1020138: Formulate but do not solve the following exercise as a linear programming problem.
Madison Finance has a total of $24 million earmarked for homeowner loans and auto loans, where x is homeowner loans in millions of dollars and y is auto loans in millions of dollars. On the average, homeowner loans have a 9% annual rate of return, whereas auto loans yield a 12% annual rate of return. Management has also stipulated that the total amount of homeowner loans should be greater than or equal to 4 times the total amount of automobile loans. Determine the total amount of loans of each type Madison should extend to each category to maximize its returns P in millions of dollars.
Maximize P = subject to the constraints
total loans =
distribution of loans =
x ≥ 0
y ≥ 0
Click here to see answer by solver91311(24713) |
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