Answer:
1. $64
2. 20%
3. 25%
4. $65.50
Step-by-step explanation:
1. 80 x 20% = ?
method = 80 x 0.20 = 16 = $16 80-16 = 64 = $64
2. 14 x ? % = $11.20
method = We divide 11.20/14 = 0.8 = 0.80 = 80% inverse of 80% = 20%
proof 14 x 0.20 = 2.80 so; 14 -2.80 = $11.20
3. 1000 x ? = $750
method = 1000/750 = 0.75 0.75 = 75% inverse on original price = 25%
4. $55 x 10% = ?
method = 55 x 1.10 = 65.5 = $65.50
Answer:
The volume of the rectangular prism is ![V=442.341\ cm^{3}](https://tex.z-dn.net/?f=V%3D442.341%5C%20cm%5E%7B3%7D)
The surface area of the rectangular prism is ![SA=384.62\ cm^{2}](https://tex.z-dn.net/?f=SA%3D384.62%5C%20cm%5E%7B2%7D)
Step-by-step explanation:
we know that
The volume of the rectangular prism is equal to
![V=LWH](https://tex.z-dn.net/?f=V%3DLWH)
substitute the values
![V=(12.7)(8.1)(4.3)=442.341\ cm^{3}](https://tex.z-dn.net/?f=V%3D%2812.7%29%288.1%29%284.3%29%3D442.341%5C%20cm%5E%7B3%7D)
The surface area of the rectangular prism is equal to the area of its six faces
so
![SA=2(8.1)(4.3)+2(12.7)(8.1)+2(12.7)(4.3)=384.62\ cm^{2}](https://tex.z-dn.net/?f=SA%3D2%288.1%29%284.3%29%2B2%2812.7%29%288.1%29%2B2%2812.7%29%284.3%29%3D384.62%5C%20cm%5E%7B2%7D)
9514 1404 393
Answer:
528
Step-by-step explanation:
The sum can be decomposed into parts that may be easier to figure.
![\displaystyle\sum_{n=1}^{24}(2n-3)=2\sum_{n=1}^{24}(n)-3\sum_{n=1}^{24}(1)=2\dfrac{24\cdot25}{2}-3\cdot24\\\\=600-72=\boxed{528}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bn%3D1%7D%5E%7B24%7D%282n-3%29%3D2%5Csum_%7Bn%3D1%7D%5E%7B24%7D%28n%29-3%5Csum_%7Bn%3D1%7D%5E%7B24%7D%281%29%3D2%5Cdfrac%7B24%5Ccdot25%7D%7B2%7D-3%5Ccdot24%5C%5C%5C%5C%3D600-72%3D%5Cboxed%7B528%7D)
Answer:
y = (-7/3)x - 26/3
Step-by-step explanation:
To find the equation of a line given two points, we can first define an equation of a line to be y= mx +b, with m being the slope and b being the y intercept.
To calculate the slope, we can use the formula (change in y)/(change in x), or
(y₂-y₁)/(x₂-x₁). If we define (-2, -4) as point 1 (meaning -2 is x₁ and -4 is y₁) and (-8, 10) as point 2 (it doesn't matter which point is point 1/2), we can say that the slope is equal to
(10-(-4)) / (-8-(-2)
= 14/(-6)
= -7/3
Therefore, our formula so far is
y = (-7/3)x + b
To figure out b, we can plug in a point, e.g. (-8, 10) and solve for b. Plugging this in, we get
10 = (-7/3)(-8) + b
10 = 56/3 + b
subtract 56/3 from both sides
10 - 56/3 = b
= 30/3 - 56/3
= -26/3
Therefore, our equation is
y = (-7/3)x - 26/3
The amount of material needed by Miranda is 261.75 ft² and the volume of the tent is 228 ft³
<h3>
Volume </h3>
The volume of a figure is the amount of space occupied by a three dimensional shape.
The volume of the triangle = (1/2) * base * height = 0.5 * 8 * 6 = 24 ft²
Surface area of prism = 2(24) + 2(9.5 * 7.25) + (9.5 * 8) = 261.75 ft²
The volume of tent = area of triangle * height = 24 ft² * 9.5 ft = 228 ft³
The amount of material needed by Miranda is 261.75 ft² and the volume of the tent is 228 ft³
Find out more on Volume at: brainly.com/question/12410983