Y = 2x/x-7
x = 2y/y-7
xy - 7x = 2y
-7x = 2y - xy
-7x = y(2-x)
y = -7x / 2-x
y = 7x / x-2
f-¹(x) = 7x / x-2
9514 1404 393
Answer:
$7.14
Step-by-step explanation:
Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.
p + d + q = 45 . . . . . . . . there are 45 coins in the collection
2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies
p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies
Substituting the last two equations into the first gives ...
p +(p +4) +(2p +5) = 45
4p = 36 . . . . . . . . . . . . . subtract 9
p = 9 . . . . . . . . . . . divide by 4
d = 9 +4 = 13
q = 2(9) +5 = 23
The value of the collection is ...
23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14
The coin collection is worth $7.14.
A= 1/2bh
fill in formula with known numbers
42= 1/2(7)h
multiply numerators on right side
42= (1*7)/2h
42= 7/2h
divide both sides by 7/2
42 ÷ 7/2= h
to divide fractions, multiply by reciprocal/inverse of 7/2
42 * 2/7= h
multiply numerators
(42 * 2)/7= h
84/7= h
12 inches= h
ANSWER: The height is 12 inches.
Hope this helps! :)
Let the three consecutive number be x,x+1 and x+2.
It is given sum of three consecutive numbers is 46.
So,x+x+1+x+2=46
3x+3=46.
Subtracting 3 both sides
3x=46-3
3x=43.
x= 
Since is not an integer there is no true answer to this problem.
To solve this, I used guess and check.
I started by finding 60²=3600 and 70²=4900. 70² is too much, so I then did 65²=4,225.
After 65², I did 62²=3,844. I knew that was pretty close, so I did 64. 64²=4,096 and 63²=3,969. So, 64² was it.
4,096-4015=81
So, you would need to add 81 to 4015 in order to receive a perfect square, which is 64²(4,096).
