Answer:
Step-by-step explanation:
<em>Step 1: Determine quantity per liquid</em>
liquid 1=7/8 cup
liquid 2=9/10 cup
<em>Step 2: Derive expression to calculate total amount of mixture</em>
The expression below can be derived;
T=a+b
where;
T=total amount of mixture
a=total amount of liquid 1
b=total amount of liquid 2
In our case;
a=7/8 cup
b=9/10 cup
replacing;
T=(7/8)+(9/10)=1 31/40 cups
The total amount of mixture=1 31/40 cups
Answer:
The answer to your question is $21.0
Step-by-step explanation:
Data
Original price = $25
Discount = 20%
Taxes = 5%
Process
1.- Calculate the price with the discount
$25 ------------------- 100%
x ------------------- 20%
x = (20 x 25) / 100
x = 500 / 100
x = $5
Price after the discount = $25 - $5
= $20
2.- Calculate the price after taxes
$20 ---------------------- 100%
x ----------------------- 5%
x = (5 x 20) / 100
x = 100 / 100
x = $1
Final price = $20 + $1
= $21
Step-by-step explanation:
The answer is OPTION C
Find the Inverse of a 3x3 Matrix.
First
Find the Determinant of A(The coefficients of e
Proceed towards finding the CO FACTOR of the 3x3 Matrix.
+. - +
A= [ 1 -1 -1 ]
[ -1 2 3 ]
[ 1 1 4 ]
The determinant of this is 1.
Find the co factor
| 2 3 | |-1 3 | |-1 2 |
| 1. 4. | |1 4 | |1. 1 |
|-1. -1 | |1 -1 | |1 -1
| 1. 4 | |1. 4| |1 1|
|-1. -1 | |1 -1 | |1. -1
|2. 3| |-1. 3| |-1 2|
After Evaluating The Determinant of each 2x 2 Matrix
You'll have
[ 5 7 -3]
[3 5 -2 ]
[-1 -2 1]
Reflect this along the diagonal( Keep 5,5 -2)
Then switching positions of other value
No need of Multiplying by the determinant because its value is 1 from calculation.
After this
Our Inverse Matrix Would be
[ 5 3 -1 ]
[7 5 -2 ]
[ -3 -2 1]
THIS IS OUR INVERSE.
SO
OPTION C
Answer :6x + 5y = 30
5y = 30 - 6x
y = 6 - (6/5) x
So slope = -6/5
Perpendicular line has slope 5/6 (product of the slopes is -1)
So y = 5/6 x + b
Passed through (-6, -7) so -7 = -5 + b
Sp b = -2
So y = (5/6)x - 2
Step-by-step explanation:
Im pretty sure it would be 10??? if you are putting it as a subtraction problem if not i would try wording it more clearly
