This is the concept of density, volume and mass of different materials; To calculate for the volume of an aluminium material with density of 2.375 grams per cubic centimeter and a mass of 0.78 Kilogram we proceed as follows;
Density=mass/volumemaking volume the subject we get;volume=mass/densitythus;mass=0.78 kg= 780 gdensity=2.375 g/cm^3Hence,volume=780/2.375=328.421 cm^3
Answer:
Janice bought 4 bags of apples. Each bag had the same number of apples. After eating 1 apple from each bag, she had 28 apples left. What is the value of the unknown amount in the story is 12
Step-by-step explanation:
Answer:
The answer is
Speed of the boat in still water= 12mph
Speed of current= 9mph
Step-by-step explanation:
<em>let x= speed of the boat in still water</em>
<em>let y= speed of current</em>
<em></em>
<em>DATA WE HAVE</em>
<em>with current </em>
<em>rate- x+y </em>
<em>time- 6 hours</em>
<em>distance- 126 miles</em>
rate= 126/6= 21
against current
rate- x-y
time- 42hr
distance- 126 miles
126/42= 3
Now, we add these two equations vertically.
<em>x-y=3</em>
<em>+</em>
<em>x+y=21 </em>
<em>2x = 24</em>
<em>Now we divide each side by 2</em>
<em>2x/2 24/2</em>
<em>x= 12</em>
<u><em>The speed of the boat in still water is 12mph</em></u>
<em></em>
<em>NOW WE HAVE HALF OF THE ANSWER</em>
if x+y= 21
then
12+y=21
subtract 12 from both sides
y=9
<em><u>The speed of the current is 9mph</u></em>
<em><u /></em>
<em><u>Checking)</u></em>
<em><u>12+9=?21</u></em>
<em><u>21=21</u></em>
<em><u>12-9=?3</u></em>
<em><u>3=3</u></em>
<em><u /></em>
I hope this helped! If you have any questions, dm me on insta celinesaydawi
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Step-by-step explanation:
side A+(8x+2)=x²+12x
side A=x²+12x-8x-2
side A=x²+4x-2
side B+(x-6)=2x²-4
side B=2x²-4-x+6
side B=2x²-x+2
