1.) 1.47 x 10^4 is the correct answer
<em><u>Question:</u></em>
A machine made 2 2/6 pencils in 3 3/4 minutes. How many pencils would the machine have made after 9 minutes?
<em><u>Answer:</u></em>
pencils is made after 9 minutes
<em><u>Solution:</u></em>
Given that,
A machine made 2 2/6 pencils in 3 3/4 minutes
Which means,


Let "x" be the number of pencils made in 9 minutes
Therefore,

This forms a proportion and we can solve by cross multiplying

Thus,
pencils is made after 9 minutes
3.5 / 9
(35 / 10) /9
35 / 10 ÷ 9
35 / 10 × 1/9
35 / 90
5 into 35 is 7, and 5 into 90 is 18
7 / 18
So it is 35 / 90 or 7 / 18.
Answer:
B. E(s) = s^3 - 29.
Step-by-step explanation:
The amount of empty space
inside the cubic box is equal to the volume of the box minus the volume of the softball.
If the side length of the cubic box is
, and the volume of the softball is
, then the amount of empty space
inside is
,
where
is the volume of the cubic box.
Since it matches the equation we got above, choice B stands correct.
Answer:
5.38 inches
Step-by-step explanation:
The formula for Area of an Heptagon
= A=7/4a²cot(180°/7)
Area = 105in²
Side a = ?
The formula for Side a
= √4A ×tan (180°/7)/7
= √4 × 105 × tan (180°/7) /7
= 5.37536 inches
Approximately = 5.38 inches.