Answer:
The price is $1.6 per square foot of the land
Step-by-step explanation:
step 1
Find the area of the plot of land
we know that
The area of the plot of land is equal to the area of trapezoid 1 plus the area of trapezoid 2
see the attached figure to better understand the problem
Remember that
The area of a trapezoid is equal to
![A=\frac{1}{2}[b1+b2]h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Bb1%2Bb2%5Dh)
<em>Find the area of trapezoid 1</em>
we have
![b1=125\ ft](https://tex.z-dn.net/?f=b1%3D125%5C%20ft)
![b2=265\ ft](https://tex.z-dn.net/?f=b2%3D265%5C%20ft)
![h=260-150=110\ ft](https://tex.z-dn.net/?f=h%3D260-150%3D110%5C%20ft)
substitute
![A1=\frac{1}{2}[125+265](110)](https://tex.z-dn.net/?f=A1%3D%5Cfrac%7B1%7D%7B2%7D%5B125%2B265%5D%28110%29)
![A1=21,450\ ft^{2}](https://tex.z-dn.net/?f=A1%3D21%2C450%5C%20ft%5E%7B2%7D)
<em>Find the area of trapezoid 2</em>
we have
![b1=150\ ft](https://tex.z-dn.net/?f=b1%3D150%5C%20ft)
![b2=265\ ft](https://tex.z-dn.net/?f=b2%3D265%5C%20ft)
![h=150\ ft](https://tex.z-dn.net/?f=h%3D150%5C%20ft)
substitute
![A2=\frac{1}{2}[150+265](150)](https://tex.z-dn.net/?f=A2%3D%5Cfrac%7B1%7D%7B2%7D%5B150%2B265%5D%28150%29)
![A2=31,125\ ft^{2}](https://tex.z-dn.net/?f=A2%3D31%2C125%5C%20ft%5E%7B2%7D)
The area total of the land is
![A=A1+A2](https://tex.z-dn.net/?f=A%3DA1%2BA2)
![A=21,450+31,125=52,575\ ft^{2}](https://tex.z-dn.net/?f=A%3D21%2C450%2B31%2C125%3D52%2C575%5C%20ft%5E%7B2%7D)
step 2
Find the price per square foot of the land
Divide the total cost by the total area
![\frac{84,120}{52,575}=1.6\frac{\$}{ft^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B84%2C120%7D%7B52%2C575%7D%3D1.6%5Cfrac%7B%5C%24%7D%7Bft%5E%7B2%7D%7D)
Answer:
your answer would be 3.5/9
Step-by-step explanation:
this is because 3.5/9 + 1/9 = 4.5/9 which is half of 9/9 which would be a whole. you would do half because half of the circle is already shaded.
hope i helped! <em><u>please mark as brainliest :)</u></em>
To find the answer, we can simply add the two numbers up:
= -1-6
=-7
Therefore the his overall score is -7.
Hope it helps!
Answer:
- The first car costs $40 and the price difference is $5
Step-by-step explanation:
<u>Given:</u>
- There are 17 cars with the price as an AP sequence.
- The total of 17 is $1360
<u>The total of last 3 is $345, it means the total of the first 14 is:</u>
<u>Use the sum of the first n terms formula, consider the first term is a and common difference is d:</u>
<u>Find it at n = 14 and n = 17:</u>
- S₁₄ = (2a + 13d)*14/2 = 1015 ⇒ 2a + 13d = 1015/7 ⇒ 2a + 13d = 145
- S₁₆ = (2a + 16d)*17/2 = 1360 ⇒ 2a + 16d = 2*1360/17 ⇒ 2a + 16d = 160
<u>Subtract the equations and solve for d:</u>
- 16d - 13d = 160 - 145
- 3d = 15
- d = 5
<u>Find the value of a:</u>
- 2a + 13*5 = 145
- 2a + 65 = 145
- 2a = 80
- a = 40
Answer:
Altogether she will spend $133 on clothes
Step-by-step explanation:
1 sweater = $37
3 sweaters = $37 × 3
= $111
1 scarve = $11
2 scarves = $11 × 2
= $22
total = $111 + $22
= $133