Answer:
90%
Step-by-step explanation:
To calculate a percentage, divide the smaller number into the larger one. 36 ÷ 40 = 0.9, which is equal to 90%.
Answer:
51 DVDs
Step-by-step explanation:
Let the number of DVDs and CDs sold be x each.
<u>Initial</u>
Number of DVDs= 86
Number of CDs= 52
<u>After selling</u>
Number of DVDs= 86 -x
Number of CDs= 52 -x
Given that there are 3 times as many DVDs than CDs left,
86 -x= 3(52 -x)
<em>Expand:</em>
86 -x= 156 -3x
<em>Bring x terms to 1 side, constant to the other:</em>
3x -x= 156 -86
<em>Simplify:</em>
2x= 70
<em>Divide both sides by 2:</em>
x= 35
Amount of DVDs left
= 86 -x
= 86 -35
= 51
Answer:
e=33 degrees
Step-by-step explanation:
C and E are a linear pair, meaning the total angle measure is 180
c=147 subtract that from 180
180-147=33
e=33 degrees
Answer:
A) y - 2 = 3(x+4)
Step-by-step explanation:
Given that the equation is a line with slope =m=3 and
a point on it (x1,y1) = (-4,2)
Any line having slope m and passing through (x1,y1) has equation in point slope form as
y-y1 = m(x-x1)
We are given here x1 =-4, y1 =2 and m =3
y-y1 = y-2 and x-x1 = x-(-4) = x+4
So equation is y-2 = 3(x+4)
Verify:
The line is y = 3x+12+2 = 3x+14
Hence slope =3 is verified
Substitute the point x =-4 and y =2
2 =3(-4)+14 = 2 is true
Thus verified
Answer:
#4: -18xy^3z * sqrt(z)
#5: 24xy^3 * sqrt 3(x^2)
Step-by-step explanation:
#4: -2*sqrt(9^2 * x^2 * y^2 * y^2 * y^2 * z^2 * z)
You can cancel if there is a number sqaured
-2 * 9 * x * y * y * y * z * sqrt(z)
-18xy^3z * sqrt(z)
#5: 6 * sqrt 3( 4^3 * x^3 * x^2 * (y^3)^3 )
You can cancel if the number is cubed.
6 * 4 * x * y^3 * sqrt 3( x^2 )
24xy^3 * sqrt 3(x^2)
