Mathematics, 15.12.2019 20:31 lisacarter0804

Carly is 3 times her brother's age.
the sum of their ages is no more than 24 years.
enter an inequality that can be used to represent this situation in the first box, where x represents carly's brother's age.
enter the oldest age carly's brother can be in the second box.

-- im having a very hard time with this, but for oldest age is 9? ?

Answers: 1

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Answer from: esanchez2002fcb

If we let x represent the age of Carly's brother, then Carly's age would be 3(x) since he's thrice as old. To find the sum of their ages, we just combine the expressions and come up with x + 3x = 4x. We know that the sum of their ages is not more than 24 years. Hence, we can write an equality showing this relationship as shown below. 4x ≤ 24 x ≤ 6 From this, we can see that the oldest age possible for Carly's brother would be 6. 4x ≤ 24 | 6 years old

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!

Answer from: Quest

whats the question?

step-by-step explanation:

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Carly is 3 times her brother's age.
the sum of their ages is no more than 24 years.
en...