5/ sqrt (10)
no radicals in the denominator so we multiply by sqrt(10)/sqrt(10)
5/ sqrt (10)* sqrt(10)/sqrt(10)
5 * sqrt(10)
---------------
10
sqrt(10)
-----------
2
20 golf balls can fit in the can.
<u>Step-by-step explanation:</u>
Given:
Height (h) = 10 Inches
Volume of 15.625 Pi inches cube.
To Find:
How many balls can be filled in that can.
Solution:
Diameter of the golf ball [as per standard value] = 1.68 in
Radius of the golf ball = 
Volume of the golf ball = 
=
=
Volume of the can = 
Now we have to divide the volume of the can by the volume of the golf ball, we will get =
balls
Thus we can conclude that approximately 20 balls can be filled in that can.
Answer:
The answer to your question is
Part A. Archimedes grades 6 1/4 tests per day
Part B. 8 19/32 days
Part C. 6 26/29 days
Step-by-step explanation:
Part A
Total time = 6 2/5 days
Number of tests = 40 tests
Process
1.- Convert the mixed fraction to improper fraction
6 2/5 = (30 + 2) / 5 = 32/5
2.- Divide 40 by 32/5
40/1 / 32/5 = (40 x 5) / (32 x 1)
= 200 / 32
Simplify
100 / 16 = 50/8 = 25/4
3.- Convert 25/4 to mixed fractions
6
4 25
1
25/4 = 6 1/4
Archimedes grade 6 1/4 tests per day
Part B
15 more tests
Total time = 32/5
Total tests = 40 + 15 = 55
Process
1.- Divide 55 by 32/5
55 / 1 / 32 /5 = (55 x 5) / (32 x 1)
= 275 / 32
2.- Convert 275/32 to a mixed fraction
8
32 275
256
19
Result 8 19/32 days
Part C
1.- Divide 55 by 7.25
50 / 7.25 = 5000 / 725
6
725 5000
- 4350
650
Result 6 650/750 = 6 26/29
The answer is: y = -2x+12
4x+2y=24=
4x-4x+2y=24-4x=
2y=24-4x
Divide each piece by 2=
2y/2=24/2-4x/2
y=12-2x
But, slope intercept form is y=mx + b so you must put the second part in reverse, making the answer to the equation be y=-2x+12
(Don't forget the - on -2)
Answer:
A digit that makes this sentence true is 4.
Step-by-step explanation:
Since the first digit in the number to the left is 3, you simply have to find a digit greater than 3. Here are the possibilities:
4
5
6
7
8
and
9
Out of any of these you can choose, I chose 4.