Answer:
Step-by-step explanation:
Given:
To find 
Using trigonometric relations for sums and differences of squares of the ratios.
We know:
Plugging in in the above relation.
Subtracting both sides by 0.75.
Taking square root both sides.
∴ (Answer)
X^2-6x+7=0
-b +/- sqrt b^2-4ac all over 2a
a=1 b= -6 and c=7
6+/- sqrt 36-4×1×7 all over 2×1
6+/- sqrt 8 all over 2
6+/- 2sqrt2 all over 2
reduce
3+/- sqrrt2
Answer: The unit rate is $5 per mug.
Step-by-step explanation:
To find the the unit rate, you will find the amount one mug will cost.
If there are 9 mugs then to get it to one, you will have to divide 9 by 9, and the same way you will have to divide 45 by 9.
45 / 9 = 5
Answer:
So here is the answer.
We represent h = hardwood and p = pine bark
Here is the equation: h + p = 176
2.75p + 3.50h = 520
Next, p = 176 -h (substitute)
2.75 (176-h) + 3.5h = 520
484 -2.75h + 3.5h = 520
3.5h-2.75h = 520 -484
0.75h = 36 (divide both by 0.75)
h = 48
Therefore, the number of hardwood sold is 48.
h + p = 176
p = 176-48
p= 128
The number of pine bark sold is 128.
Hope this helps :)
Step-by-step explanation:
Remark
If the lines are parallel, there are no solutions to the system of equations. Start with the equation you know the most about.
x + 6y = 7 Subtract x from both sides
x - x + 6y = 7 - x Combine
6y = - x + 7 Switch and divide by 6
y = -x / 6 + 7/6
The general equation for a line is y = mx + b where m is the slope of the line.
m = - 1/6
================
Now look at the second equation
10ay - 5x = 32 Add 5x to both sides
10ay = 5x + 32 Divide by 10a
y = (5/10a)x + 32/(10a)
===============
Now you must make
5/10a = - 1/6 Cross Multiply
5* 6 = - 10a * 1
30 = - 10a Divide by - 10
a = 30 / - 10
a = - 3
So these two equations will have no solution when a = - 3
