1) Your are planning to spend no less than $8000.00 and no more than $12,000 on your landscape project
a) Write an inequality that demonstrates how much money you will be will to spend on the project
B) Suppose you want to cover the backyard with the decorative rock and plant some tress as the first phase of the project. You need 20 tons of rock to cover the area. If each ton cost %50 and each tree cost $60, what is the maximum numbert of tress you can buy with a budget for rock and tress of $2000? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrive at your answer
2 You are going to help a neighbor build a ramp so he can easily go into his house in a wheelchair. In order to meet federal guideline, the ramp must not rise more than 1 foot over a horizontal distance of 12 vfeet.
a)What is the maxium slope of the ramp into house?
B)If the horizontal distance into the house is 49 feet, what is the maxium allowable rise of the ramp?
3. You are going to plant trees in your hilly backyard. Tree A is located at coordinates(1,2) and Tree B is located at (3,12).
Wgat us tge slope of the hill between the two trees? Show how you arrived at your answer.
I guess no one wants to help me and my friend sydney....
1) Your are planning to spend no less than $8000.00 and no more than $12,000 on your landscape project
a) Write an inequality that demonstrates how much money you will be will to spend on the project
B) Suppose you want to cover the backyard with the decorative rock and plant some tress as the first phase of the project. You need 20 tons of rock to cover the area. If each ton cost %50 and each tree cost $60, what is the maximum numbert of tress you can buy with a budget for rock and tress of $2000? Write an inequality that illustrates the problem and solve. Express your answer as an inequality and explain how you arrive at your answer
2 You are going to help a neighbor build a ramp so he can easily go into his house in a wheelchair. In order to meet federal guideline, the ramp must not rise more than 1 foot over a horizontal distance of 12 vfeet.
a)What is the maxium slope of the ramp into house?
B)If the horizontal distance into the house is 49 feet, what is the maxium allowable rise of the ramp?
3. You are going to plant trees in your hilly backyard. Tree A is located at coordinates(1,2) and Tree B is located at (3,12).
Wgat us tge slope of the hill between the two trees? Show how you arrived at your answer
1) Your are planning to spend no less than $8000.00 and no more than $12,000 on your landscape project
a) Write an inequality that demonstrates how much money you will be will to spend on the project 8000< + x < 12,000
B) Suppose you want to cover the backyard with the decorative rock and plant some tress as the first phase of the project. You need 20 tons of rock to cover the area. If each ton cost %50 and each tree cost $60, what is the maximum numbert of tress you can buy with a budget for rock and tress of $2000? Write an inequality that illustrates the problem and solve.yx20+50x=1000
Express your answer as an inequality and explain how you arrive at your answer
2 You are going to help a neighbor build a ramp so he can easily go into his house in a wheelchair. In order to meet federal guideline, the ramp must not rise more than 1 foot over a horizontal distance of 12 vfeet.
a)What is the maxium slope of the ramp into house?
B)If the horizontal distance into the house is 49 feet, what is the maxium allowable rise of the ramp?
3. You are going to plant trees in your hilly backyard. Tree A is located at coordinates(1,2) and Tree B is located at (3,12).
Wgat us tge slope of the hill between the two trees? Show how you arrived at your answer
would 9 tress be a solution to the inequality in
1a) To write an inequality that demonstrates how much money you will be willing to spend on the project, we can let 'x' represent the amount of money you plan to spend. The inequality can be written as:
8000 ≤ x ≤ 12000
This means that you are willing to spend a minimum of $8000 and a maximum of $12000 on the landscape project.
1b) To find the maximum number of trees you can buy with a budget of $2000, we first need to calculate how much money will be spent on the rocks. Given that you need 20 tons of rock and each ton costs $50, the total cost of the rocks would be:
20 tons × $50/ton = $1000
Now, subtract the cost of the rocks from your budget:
$2000 - $1000 = $1000
Now, divide the remaining budget by the cost of each tree:
$1000 ÷ $60/tree = 16.67 trees
Since you cannot buy a fraction of a tree, the maximum number of trees you can buy with a budget for rocks and trees of $2000 is 16 trees.
The inequality that illustrates the problem is:
x/60 ≤ 16
where 'x' represents the budget for trees.
To solve the inequality, multiply both sides by 60:
x ≤ 16 * 60
x ≤ 960
Therefore, you can buy a maximum of 16 trees with a budget of $2000.
2a) The maximum slope of the ramp into the house can be determined by the rise (vertical distance) divided by the run (horizontal distance). In this case, since the ramp must not rise more than 1 foot over a horizontal distance of 12 feet, the maximum slope can be expressed as:
rise/run ≤ 1/12
2b) If the horizontal distance into the house is 49 feet, the maximum allowable rise of the ramp can be found by multiplying the horizontal distance by the maximum slope:
49 feet * (1/12) = 4.08 feet
Therefore, the maximum allowable rise of the ramp is 4.08 feet.
3) To find the slope of the hill between Tree A and Tree B, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Given the coordinates of Tree A (1,2) and Tree B (3,12), we can substitute the values into the formula:
slope = (12 - 2) / (3 - 1)
slope = 10 / 2
slope = 5
Therefore, the slope of the hill between Tree A and Tree B is 5.