Hey there! I'm happy to help!
The percent in the problem is 60% (as it has a percent time).
The base is the number we start with, so it is 485.
The amount is the percent of the base. As a decimal, 60% is 0.6. So, we just multiply this by 485.
0.6×485=291
Therefore, the amount is 291.
AMOUNT: 291
BASE: 485
PERCENT: 60%
Have a wonderful day! :D
Note:xy means x times y and x(y) means the same thing
so
first we get rid of square root then
make the equation equal to zero becaues if
xy=0 then x or/and y=0
squareroot(y-1)+3=y
isolate the squareroot
subtrac 3 from boht sides
squareroot(y-1)=y-3
square both sides (since they are equal, you should be able to square both sides and still make it true)
(squareroot(y-1))^2=(y-3)^2
(y-1)=(y-3)(y-3)
y-1=y^2-6y+9
subtrac y from both sides
-1=y^2-7y+9
add 1 to both sides
0=y^2-7y+10
find what two number multiply to make 10 and add to get -7
the answer is -2 and -5
0=(y-5)(y-2)
therfore
y-5=0
and/or
y-2=0
therefor
y=5 or/and 2 might work
let's try out 2
square root(2-1)+3=2
square root(1)+3=2
1+3=2
false
so 2 doesn't work
let's try 5
squareroot(5-1)+3=5
squareroot(4)+3=5
2+3=5
5=5
true
y=5
Answer:
The fuel economy is 36 miles per gallon. For each mile 1/36 gallon will be used.
Initial volume is 13,2 gallons and x is the number of miles.
<u>Our equation is:</u>
or
Answer:
(5,-4) and (-5,6)
Step-by-step explanation:
Given:
![\left\{\begin{array}{l}x^2+x+y-26=0\\ \\x+y=1\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%5E2%2Bx%2By-26%3D0%5C%5C%20%5C%5Cx%2By%3D1%5Cend%7Barray%7D%5Cright.)
Solve it. First, express y in terms of x from the second equation:
![y=1-x](https://tex.z-dn.net/?f=y%3D1-x)
Substitute it into the first equation:
![x^2+x+1-x-26=0\\ \\x^2-25=0\\ \\(x-5)(x+5)=0](https://tex.z-dn.net/?f=x%5E2%2Bx%2B1-x-26%3D0%5C%5C%20%5C%5Cx%5E2-25%3D0%5C%5C%20%5C%5C%28x-5%29%28x%2B5%29%3D0)
Apply zero product property:
![x-5=0\ \text{or}\ x+5=0](https://tex.z-dn.net/?f=x-5%3D0%5C%20%5Ctext%7Bor%7D%5C%20x%2B5%3D0)
So,
![x=5\ \text{or}\ x=-5](https://tex.z-dn.net/?f=x%3D5%5C%20%5Ctext%7Bor%7D%5C%20x%3D-5)
When
then ![y=1-5=-4](https://tex.z-dn.net/?f=y%3D1-5%3D-4)
When
then ![y=1-(-5)=6](https://tex.z-dn.net/?f=y%3D1-%28-5%29%3D6)
We get two solutions: (5,-4) and (-5,6)
(2308*10)/100=230.3 so he would have to pay 230 hundos (and 30 singles)