Answer:
(15x + 120) ft³
Or
15(x + 8) ft³
Step-by-step explanation:
The prism can be decomposed into a rectangular prism and a triangular prism
The volume of the prism = volume of the rectangular prism + volume of the triangular prism
✔️Volume of rectangular prism = L*W*H
L = 5 ft
W = 4 ft
H = 6 ft
Volume = 5*4*6 = 120 ft³
✔️Volume of triangular prism = ½*b*h*l
b = x ft
h = 6 ft
l = 5 ft
Volume = ½*x*6*5 = 15x ft³
✔️Volume of the prism = (15x + 120) ft³
Divide it into two squares.
The first square is just (1)1, which equals 1 cm^2, and add that to the second square, which is just (2)2, which equals 4, so 1+4=5 cm^2.
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Below are the choices:
a.0.0142
<span>b.1.0142 </span>
<span>c.14.2 </span>
<span>d.1.42
</span>
Every month your balance includes the original amount (100%) and the added the monthly interest (1.42%). So each month the balance will be 101.42% of the prior month's balance. Move the decimal point two places to the left to make that into a decimal.
<span>Answer: </span>
<span>b. 1.0142</span>
Answer:
3 6/8
Step-by-step explanation:
5 = 5
10/8 = 1 2/8
5 - 1 = 4
4 - 2/8 = 3 6/8
Answer:
The value of x = 513
Step-by-step explanation:
Let x, y, and z be the three numbers
Given
![x+y+z=855](https://tex.z-dn.net/?f=x%2By%2Bz%3D855)
Assuming x be the number which is 50% more than the sum of the other two numbers.
i.e.
(150)% of (y+z) = 1.5(y+z)
y + z = x/1.5
As we know that
![x + y + z = 855](https://tex.z-dn.net/?f=x%20%2B%20y%20%2B%20z%20%3D%20855)
substituting y + z = x / 1.5 in the equation
![x+\frac{x}{1.5}=855](https://tex.z-dn.net/?f=x%2B%5Cfrac%7Bx%7D%7B1.5%7D%3D855)
Multiply both sides by 1.5
![x\cdot \:1.5+\frac{x}{1.5}\cdot \:1.5=855\cdot \:1.5](https://tex.z-dn.net/?f=x%5Ccdot%20%5C%3A1.5%2B%5Cfrac%7Bx%7D%7B1.5%7D%5Ccdot%20%5C%3A1.5%3D855%5Ccdot%20%5C%3A1.5)
![1.5x+x=1282.5](https://tex.z-dn.net/?f=1.5x%2Bx%3D1282.5)
![2.5x=1282.5](https://tex.z-dn.net/?f=2.5x%3D1282.5)
Divide both sides by 2.5
![\frac{2.5x}{2.5}=\frac{1282.5}{2.5}](https://tex.z-dn.net/?f=%5Cfrac%7B2.5x%7D%7B2.5%7D%3D%5Cfrac%7B1282.5%7D%7B2.5%7D)
![x = 513](https://tex.z-dn.net/?f=x%20%3D%20513)
Therefore, the value of x = 513