Answer:
Step-by-step explanation:
Let the number of dimes be d and quarters be q
<u>The value is $8.80 = 880¢, so:</u>
- 10d + 25q = 880 ⇒ 2d + 5q = 176
<u>If the dimes were quarters and the quarters were dimes, the coins' total value would be $7.30 or 730¢</u>
- 25d + 10q = 730 ⇒ 5d + 2q = 146
<u>Now we have 2 equations. Solving the system by elimination, subtract 5 times the second equation from twice the first equation:</u>
- 2(2d + 5q) - 5(5d + 2q) = 2(176) - 5(146)
- 4d - 25d = -378
- -21d = -378
- d = -378/-21
- d = 18
11.
If you see clearly, the value of x is greater than -1.
i.e. x>-1----------(1)
But -1 is pointed by dark point.
It means x=1----------(2)
If you combine these two, you will get,
12.
Like above,
the value of x is smaller than -2.
i.e. x<-2----------(1)
But -2 is not pointed by dark point.
It means x is not equal to -2.
So the final result is x<-2.
The answer should be A=-6
6.31 is a rational number.
Given parameters:
Equation of the line given 2x - 7y = 13
Coordinates of points = -3, 8
Unknown:
Equation of a line perpendicular = ?
Solution;
To find the equation of this line, simply find the negative inverse of the given line.
m =
2x - 7y = 13 , this is an equation of a straight line
let us write it in the form y = mx + c so as to derive the slope
y and x are coordinates
m is the slope
c is the y intercept
2x - 7y = 13;
-7y = -2x + 13
divide through by -7;
y = +
The slope of this line is ;
Now the slope of a line perpendicular to it will be ;
the equation of the line will be;
y =
Since the coordinate of this line is (-3,8) , let us find C;
y = 8 and x = -3;
8 = (-3) + C
multiply through by 2;
16 = 21 + 2C
16 - 21 = 2C
-5 = 2C
C =
Now the equation of the line is;
y =