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:
168 cm³
Step-by-step explanation:
The base of the prism is a right triangle whose hypotenuse is 10 cm and one other side is 6 cm.
So, the third side of the triangle = cm.
{Since we have applied the Pythagoras theorem.}
Hence, the area of the base triangle is cm².
Therefore, the volume of the prism is = cm³ {Since volume of a prism is given by ( Area of the base triangle ) × ( Height of the prism )}
(Answer)
(1)
we are given
we can use quadratic formula
now, we can compare and find a , b and c
we get
now, we can plug these values into quadratic formula
we can simplify it
so, we will get solution
{−3+i, −3−i}.........Answer
(2)
we are given equation as
Since, Jamal solve this equation by completing square
so, firstly we will move constant term on right side
so, subtract both sides by 14
we can write
so, we will add both sides by 4^2
we get
..............Answer
LEAST
3.867
4.930
23
53.2
GREATEST
Hope I helped some!
<h2>a</h2>
Step-by-step explanation:
Let be the number of ounces of caramel that has to be added to each scoop of ice cream.
So,for scoops,there has to be ounces of caramel.
It is given that for every 5 scoops of ice cream,3 ounces of caramel has to be added.
So,
and
For 8 scoops of ice cream,there has to be ounces of caramel added.
But Freeze Zone adds 6 ounces of caramel.
So,Ari thinks that Freeze Zone adds more caramel