Answer:
9 cm
Step-by-step explanation:
Answer:
The answer to your question is: letter a
Step-by-step explanation:
data
balls diameter = 0.75 in then radius = 0.375 in
rectangular prism = length = 3 in width = 3 height = 7.5 in
Formula
Rectangular prism volume = l x w x h = 3 x 3 x 7.7 = 67.5 in³
ball volume = 4/3 (3.1416)(r³) = 4/3 (3.1416)(0.375)³ = 0.220in³
but 0.220in³ ------------------- 100 %
x ------------------- 190%
x = 0.418 in³
Finally divide the rectangular prism volume by ball volume
# of balls = 67.5 / 0.418 = 161.4 ≈ 160
Answer:
6 lengths
Step-by-step explanation:
You essentially want the smallest integer solution to ...
60x ≥ 350
x ≥ 350/60
x ≥ 5 5/6
The smallest integer solution to this is x = 6.
The minimum number of lengths of hose needed is 6.
_____
Informally, you know that dividing the required total length by the length of one hose will tell you the number of required hoses. You also know the ratio 350/60 is equivalent to 35/6 and that this will be between 5 and 6. (5·6 = 30; 6·6 = 36) The next higher integer value will be 6.
14:10 Multiply both numbers by the same value to find equivalent ratios
<h2><em>y
2
+
6
y
−
16
=
(
y
+
8
)
(
y
−
2
)
</em></h2><h2 /><h2><em>Explanation:
</em></h2><h2><em>Note that in general:
</em></h2><h2 /><h2><em>(
y
+
a
)
(y
−
b
)
=
y
2
+
(
a
−
b
)
y
−
a
b
</em></h2><h2 /><h2><em>So we want to find a pair of factors a and b of 16 which differ by 6
. </em></h2><h2><em>The pair 8
,
2 works in that 8−
2
=
6 and 8
⋅
2=
16
.
</em></h2><h2 /><h2><em>Hence:
</em></h2><h2><em>
y
2
+
6
y
−
16
=
(
y+
8
)
(
y
−
2
)</em></h2><h2><em>y=2,-8</em></h2>
