There are 20 cassettes.
Step-by-step explanation:
Given,
Ratio of cassette to compact disc = 10:3
Let,
the number of cassettes = 10x
Number of compact disc = 3x
According to given statement;
the number of cassettes is 10 less than 5 times the number of compact discs.
10x = 5(Number of CD) - 10

Dividing both sides by 5

Number of cassettes= 10x = 10(2) = 20
There are 20 cassettes.
Keywords: variable, ratio
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Given:

To verify:
for the given values.
Solution:
We have,

We need to verify
.
Taking left hand side, we get


Taking LCM, we get




Taking right hand side, we get



Taking LCM, we get


Now,

Hence proved.
Step-by-step explanation:
I am not sure what exactly you mean.
do you mean the complete square of an expression or
term ?
if so, then by multiplying this term by itself, and that means in general, every part is multiplied by every part and the part results are added considering the signs involved.
e.g.
squaring a+b
(a+b)(a+b) = a×a + a×b + b×a + b×b = a² + 2ab + b²
remember that multiplication and addition are commutative (you can flip the right and left sides with each other and still get the same result : a+b = b+a, a×b = b×a).
squaring a-b
(a-b)(a-b) = a×a + a×-b + -b×a + -b×-b = a² - 2ab + b²
remember that
+×- = -×+ = -
-×- = +
+×+ = +
a more complex example ?
squaring a-b+c
(a-b+c)(a-b+c) =
= a×a + a×-b + a×c + -b×a + -b×-b + -b×c + c×a + c×-b + c×c =
= a² - 2ab - 2bc + 2ac + b² + c²
The following volumes of fluid can be added to 0.40 mL of liquid for the level of precision of 0.01 mL: a) 0.2 mL, b) 6 mL, c) 2.02 mL. The amounts 0.154 mL and 8.8331 mL are not possible due to given level of precision.
<h3>What is the amount of liquid to be added to sample according to a given precision?</h3>
If the measuring has a level of precision of 0.01 ml, this means that the <em>measured</em> quantities are only sensible to the <em>smallest</em> hundreths. Any change less than 0.01 ml and any decimal less than a hundreths are "invisible" for measuring processes.
Hence, the following volumes of fluid can be added to 0.40 mL of liquid for the level of precision of 0.01 mL: a) 0.2 mL, b) 6 mL, c) 2.02 mL. The amounts 0.154 mL and 8.8331 mL are not possible due to given level of precision.
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Answer:
80 feet per second
Step-by-step explanation: At 55 mph, your vehicle is traveling at about 80 feet per second. Feet-per-second is determined by multiplying speed in miles-per-hour by 1.47 (55 mph x 1.47 = 80 feet per second.)