In this problem we would first subtract 9 from 32 two times, or multiply 9 by 2 which is 18 and then subtract to get 14 because since this is a rectangle, there are two lengths.
If there are two lengths, there will be two widths, so then just divide 14 by 2 to get 7 and your width is 7
A) p + n + d = 18
B) .01p + .05n + .10d = 1.14
C) 2p = d
Substituting C) into A)
A) p + n + 2p = 18 equals
A) 3p + n = 18
Substituting C) into B)
B) .01p + .05n + .10 *2p = 1.14
B) .01p + .05n + .2p = 1.14
B) .21p + .05n = 1.14
Taking equation A)
A) 3p + n = 18 and multiplying it by -.05
A) -.15p -.05n = -.90 Then adding this to B)
B) .21p + .05n = 1.14
.06p = .24
Therefore there are 4 pennies.
(I'll leave it to you to determine the nickels and dimes.)
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Oh what the heck, I'll finish it for you.
Looking at equation C)
C) 2p = d
We know there are 4 pennies so there are:
2 *4 = eight dimes
Looking at Equation A)
A) p + n + d = 18 we can fill in the pennies and the dimes:
A) 4 + n + 8 = 18
Therefore, there are 6 nickels.
Answer:
-6.
Step-by-step explanation:
y = x - 6
y = 6x - 19
To eliminate x the first equation should be multiplied by -6 giving:
-6y = -6x + 36
Adding this to the second equation will eliminate x.
(3,6) (5,3)
(x1,y1)(x2,y2)
The slope equation is: y2-y1
---------
x2-x1
Replace with numbers: 3-6/5-3
Minus 3 and 6 is equal to -3
Minus 5-3 is 2
So the fraction is -3/2 (no need to divide because you can't simplify it)
So the slope is -3/2
For the equation you have to replace the letters by 0's
3×0-2y=6
Times 3 and 0
0-2y=6
Now you want to get the y alone, so minus 0 from both sides
0-2y=6
-0 -0
-2y=6
Divide -2y from the 6
-2y=6
---- ---
-2 -2
y=3
The y intercept is 3 with the slope of -3/2
