Answer:
Price per pound for cashews = $7
Price per pound for peanuts = $4
Step-by-step explanation:
Let,
x be the price per pound of cashews
y be the price per pound of peanuts
According to given statement;
4x+2y=36 Eqn 1
7x+6y=73 Eqn 2
Multiplying Eqn 1 by 3
3(4x+2y=36)
12x+6y=108 Eqn 3
Subtracting Eqn 2 from Eqn 3
(12x+6y)-(7x+6y)=108-73
12x+6y-7x-6y=35
5x=35
Dividing both sides by 5
![\frac{5x}{5}=\frac{35}{5}\\x=7](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B5%7D%3D%5Cfrac%7B35%7D%7B5%7D%5C%5Cx%3D7)
Putting x=7 in Eqn 1
4(7)+2y=36
28+2y=36
2y=36-28
2y=8
Dividing both sides by 2
y=4
Hence,
Price per pound for cashews = $7
Price per pound for peanuts = $4
Answer:
28.4in³
Step-by-step explanation:
Volume of the square based pyramid = L²H/3 where;
L is the length of a side of the square base
H is the height of the prism
Given
Perimeter of the base = 13.4 in
Height of the pyramid = 7.6in
First we need to get the length of the square base
Perimeter of a square = 4L
13.4 = 4L
L = 13.4/4
L = 3.35 in
Next is to find the required volume of the pyramid
V = L²H/3
V = 3.35²(7.6)/3
V = 85.291/3
V = 28.4 in³
Hence the volume of the pyramid to nearest tenth is 28.4in³
x^2 - 8 ) x^4 +- 36 ( x^2 + 8
x4 - 8x^2
8x^2 + 36
8 x^2 - 64
Subtract 36 - - 64 = 100 Answer
Answer:
2" by 3.467"
Step-by-step explanation:
You can write the proportion ...
(print length)/(print unit) = (floor length)/(floor unit)
print length = (print unit)×(floor length)/(floor unit)
For floor length = 15', ...
print length = (1")(15')/(7.5') = 2"
For floor length 26', ...
print length = (1")(26')/(7.5') = (52/15)" = 3 7/15" ≈ 3.467"
The office will be approximately 2" by 3.467" on the drawing.