Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
1,265 divided by 34 is 37.20
You can't put a fraction of a book on a shelf so each shelf will have ABOUT 37 books
Make sure you include ABOUT in your answer
Answer:
9.24
Step-by-step explanation:
Integer Part: 9
Fractional Part: 240
If the last digit in the fractional part of 9.240 is less than 5, then simply remove the last the digit of the fractional part.
So 9.24 rounded to the nearest hundredth is:
9.24
The ratio of the number of female attendants to the number of male attendants is 21/17
<h3>Ratio</h3>
- Amount donated by female attendant = $1200
- Amount donated by male attendant = $800
- Average donation = $900
let
- number of female attendant = x
- number of male attendant = y
900 = 1200x + 800y / (x + y)
900x + 900y = 1200x + 800y
900x + 1200x = 800y + 900y
2100x = 1700y
x : y = 2100 / 1700
x : y = 21 ; 17
Learn more about ratio:
brainly.com/question/2784798
#SPJ1