Mathematics, 09.07.2019 13:30 babylibra

A380-cubic-centimeter sample of titanium has a mass of 1710 grams. find the weight of a titanium sample that has a volume of 532 cubic centimeters. find the proportion.

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Answer from: annrawcliffe

Proportion says that two ratios (or fractions) are equal.

If $380\ cm^3$ has a mass of 1710 grams and $532\ cm^3$ has unknown mass of x grams, then you can write it as

$380\ cm^3$ - 1710 grams,

$532\ cm^3$ - x grams.

Mathematically this means:

$\dfrac{380}{532}=\dfrac{1710}{x}.$

Find x:

$x=\dfrac{532\cdot 1710}{380}=2394$ grams.

2394 grams.

Answer from: Quest

21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.

Answer from: Quest

step-by-step explanation:

30% of $420 is 0.30($420) = $126 and $420 + $126 = $546.

or, 130% of $420 is 1.3($420) = $546.

notice that this is not the $600 original list price with which we started.

why doesn't this work?

the method does not work because 30% of $420 is not the same amount as the 30% of $600. it may seem obvious when stated this way, but it is a very common error made on problems of this type. we cannot just use the same percent and get back to the original amount because we are taking that percent of a different value.

to work problems of this type correctly, it is generally best to write an equation for the situation and then solve.

example: since (100% – 30%)(original price) = (sale price)

70% of the (original price) is $420.

0.7x = 420

equation image indicator

x = 600

the original cost was $600.

we may also solve this problem using the two-step method. working the problem in two steps requires us to use more algebra skills. we have to know that x = 1x (identity property of multiplicationtext annotation indicator) and that 1x – 0.3x = 0.7x (subtracting like terms). then we solve the problem as follows:

(original price) – 30%(original price) = sale price

x – 0.3x = 420

0.7x = $420

equation image indicator

x = 600

the original cost was $600.

note that with both of the above methods we do obtain the correct original amount.

example: after a 5% pay raise, hermione is earning $22,680 per year. what was she earning before the pay raise?

105% of (original salary) = current salary

1.05x = 22,680

equation image indicator

x = 21,600

hermione earned $21,600 per year before the pay raise.

this is an example so maybe you will get how to at least do it!

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A380-cubic-centimeter sample of titanium has a mass of 1710 grams. find the weight of a titanium sam...