Answer:
45 oz
Step-by-step explanation:
1.5 lb = 24 oz
3/4 = 12 oz
24+12+9 = 45 oz
Answer:
Fourth Quadrant
Step-by-step explanation:
a>0 = a is a positive number = +y
b<0 = b is a negative number = -x
[-b,-a] = [-(-x), -(+y)] = [x, -y]
[positive, negative] is on the fourth quadrant
Answer:
C) base side length = 30.6 cm, height = 27.3 cm
Step-by-step explanation:
Answer:
52/3
Step-by-step explanation:
Use basic Thales therom,
![\frac{3x}{4x}=\frac{3x+7}{5x-8}\\\\\frac{3}{4}=\frac{3x+7}{5x-8}\\](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B4x%7D%3D%5Cfrac%7B3x%2B7%7D%7B5x-8%7D%5C%5C%5C%5C%5Cfrac%7B3%7D%7B4%7D%3D%5Cfrac%7B3x%2B7%7D%7B5x-8%7D%5C%5C)
Cross multiply,
3*(5x-8)=4*(3x+7)
3*5x - 3*8 = 4*3x + 4*7
15x - 24 = 12x +28
Add 24 to both sides
15x = 12x + 28 + 24
15x = 12x + 52
Subtract 12x from both sides
15x-12x =52
3x = 52
Divide both sides by 3
x = 52/3
Answer:
![V=12\ ft^{3}](https://tex.z-dn.net/?f=V%3D12%5C%20ft%5E%7B3%7D)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form
or ![y=k/x](https://tex.z-dn.net/?f=y%3Dk%2Fx)
In this problem
![P*V=k](https://tex.z-dn.net/?f=P%2AV%3Dk)
step 1
Find the value of K
For ![P=24\ psi ,V=15\ ft^{3}](https://tex.z-dn.net/?f=P%3D24%5C%20psi%20%2CV%3D15%5C%20ft%5E%7B3%7D)
substitute
![24*15=k](https://tex.z-dn.net/?f=24%2A15%3Dk)
![k=360](https://tex.z-dn.net/?f=k%3D360)
the equation is ![P*V=360](https://tex.z-dn.net/?f=P%2AV%3D360)
step 2
For ![P=30\ psi ,V=\ ft^{3}](https://tex.z-dn.net/?f=P%3D30%5C%20psi%20%2CV%3D%5C%20ft%5E%7B3%7D)
substitute in the equation
![(30)*V=360](https://tex.z-dn.net/?f=%2830%29%2AV%3D360)
![V=360/30=12\ ft^{3}](https://tex.z-dn.net/?f=V%3D360%2F30%3D12%5C%20ft%5E%7B3%7D)