Donna sold 3 pencils and 8 pens solved using simultaneous equation
What is a simultaneous equation?
Simultaneous equation refers to related equations that are solved at the same to derive answers to the unknown variables
Let assume that X pencils were sold and Y pens were sold
The total revenue is the sum of the prices multiplied by the quantities sold.
2X+3Y=30 (equation 1)
The sum of X and Y sold is 11
X+Y=11 (equation 2)
multiply the second equation by 2
2*(X+Y=11)
2X+2Y=22 (equation 3)
subtract equation 3 from 1
(2X+3Y=30)-(2X+2Y=22)
Y=8
Substitute for Y in equation 2
X+8=11
X=11-8
X=3
Which means he sold 3 pencils and 8 pens.
Find details on simultaneous equation in the link below:
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Answer:
b
Step-by-step explanation:
Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
=
=
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
Answer:
14 square units
Step-by-step explanation:
There are several ways we can find the area. Probably the easiest is to cut the kite in half vertically and find the area of each triangle. The area of the kite will be double that.
The height of the kite is 7 units, and the width is 4 units. So each triangle will have a base of 7 and height of 2.
A = 1/2 bh
A = 1/2 (7) (2)
A = 7
The area of the kite is double that, so:
2A = 14
When you multiply by 1/10 you normally add another 0:
1/10 * 0.092=0.0092