Answer:
- Carlton thinks that converting metric units is as easy as moving the <u>decimal point</u>
Step-by-step explanation:
- When you convert the unit, you move decimal point on your answer from the left to the right or from the right to the left the number of places as per relevant prefix.
<u>Example:
</u>
- 1 meter = 1000 millimeters (1.0 m = 1000.0 mm)
- 1 milligram = 0.001 grams ( 1.0 mg = 0.001 g)
<em>see attached for prefixes</em>
Answer:
First type of fruit drinks: 48 pints
Second type of fruit drinks: 32 pints
Step-by-step explanation:
Let's call A the amount of first type of fruit drinks. 55% pure fruit juice
Let's call B the amount of second type of fruit drinks. 80% pure fruit juice
The resulting mixture should have 65% pure fruit juice and 80 pints.
Then we know that the total amount of mixture will be:

Then the total amount of pure fruit juice in the mixture will be:


Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -0.8 and add it to the second equation:



+

--------------------------------------



We substitute the value of A into one of the two equations and solve for B.


Answer:
a =12*sqrt(2)
Step-by-step explanation:
3. The Pythagorean theorem states
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 +21^2 = 27^2
a^2 +441 =729
Subtract 441 from each side
a^2 +441-441 = 729 -441
a^2 =288
Take the square root of each side
sqrt(a^2) = sqrt(288)
sqrt(xy) = sqrt(x)sqrt(y)
a = sqrt(144)sqrt(2)
a =12*sqrt(2)