Ok so for the first one it’s super simple I’m gonna do it as less complicated so it can help you :)
So first we need to convert the mixed number to an improper fraction
1 4/5 = 9/5
Now we need to reduce the numbers greatest common divisor which is 3
3/5 x 6
Now multiply the numbers
Your answer is 18/5 I hoped this help
Now for the second one
this one is a little more complicated and I don’t know how to make it sound easier so I’m gonna tell you the answer which is 580/21
The last one is the same steps we did for the first one which is 27/20
I hoped this helped you it is a little difficult but you’ll get the hang of it :)
Answer:
2/3 x ![\sqrt[4]{y^2}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7By%5E2%7D)
Step-by-step explanation:
( 16 x^11 y^8 / 81 x^7 y^6) ^ ( 1/4)
Simplify the expression inside the parentheses
Rewriting the constant
16/81 = 2^4 / 3^4 = (2/3) ^4
Next the x terms
x^11 / x^7
We know that a^b / a^x = a^ ( b-c)
x^ (11-7) = x^4
And finally the y term
y^8/ y^6 = y^( 8-6) = y^2
( (2/3) ^4 x^4 y^2) ^ ( 1/4)
We know that (ab) ^ c = a^ c * b^c
(2/3) ^4 ^ 1/4 ( x^4 ^ 1/4 ( y^2) ^ ( 1/4)
We know that a^ b^ c = a^ ( b*c)
(2/3) ^4 ^ 1/4 ( x^4 ^ 1/4 ( y^2) ^ ( 1/4)
( 2/3) ^ ( 4*1/4) * x^ ( 4*1/4) * y ^ ( 2 ^ 1/4)
2/3 * x * y ^ 2/4
2/3x y ^ 2/4
2/3 x
Answer:
~1.8 mile
Step-by-step explanation:
Michael lives at the closest point to the school (the origin) on Maple Street, which can be represented by the line y = 2x – 4.
This means Michael's house will be the intersection point of line y1 (y = 2x - 4) and line y2 that is perpendicular to y1 and passes the origin.
Denote equation of y2 is y = ax + b,
with a is equal to negative reciprocal of 2 => a = -1/2
y2 pass the origin (0, 0) => b = 0
=> Equation of y2:
y = (-1/2)x
To find location of Michael's house, we get y1 = y2 or:
2x - 4 = (-1/2)x
<=> 4x - 8 = -x
<=> 5x = 8
<=> x = 8/5
=> y = (-1/2)x = (-1/2)(8/5) = -4/5
=> Location of Michael' house: (x, y) = (8/5, -4/5)
Distance from Michael's house to school is:
D = sqrt(x^2 + y^2) = sqrt[(8/5)^2 + (-4/5)^2) = ~1.8 (mile)
Answer:
168 yards
Step-by-step explanation:
The park is a square. Therefore all sides are equal.
Area is length x width.
196=l x w
Square root 196 to get 14.
14 x 14 = 196
All sides equal 14.
You need perimeter if its around.
P= 14 x 4
The perimeter is 56.
It was ran around 3 time though so you have to times that by 3.
56 x 3
168 yards.
Answer:
Lucifer
Step-by-step explanation:
But a lot thinner
