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julsineya [31]
3 years ago
8

Alexis bought x boxes of cereal for $3 each, including tax, and paid with a $20 bill. Which expression represents the total amou

nt of change she should receive?
Mathematics
2 answers:
Zepler [3.9K]3 years ago
7 0

Answer:

Expression y = 20 - 3x represents the total amount of change she should receive.

Step-by-step explanation:

Given : Alexis bought x boxes of cereal for $3 each that is including tax

This can be written mathematically as 3x.

Let the total amount of change she should receive be denoted by y

The total amount she paid is $20

The whole scenario can be written as a single expression as,

3x + y = 20

As 20 includes the cost of x boxes and the change she received (y)

y = 20 - 3x

Thus, expression y = 20 - 3x represents the total amount of change she should receive.


stepan [7]3 years ago
4 0

Answer:

Expression y = 20 - 3x represents the total amount of change she should receive.

Step-by-step explanation:

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The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t
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Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

Average = \frac{x + y}{2}

And:

Average = (1 - 30\%) * x -----30% less than x

Substitute Average = (1 - 30\%) * x in Average = \frac{x + y}{2}

\frac{x + y}{2} = (1 - 30\%) * x

\frac{x + y}{2} = (1 - 0.30) * x

\frac{x + y}{2} = 0.70 * x

\frac{x + y}{2} = 0.70x

Cross multiply

x + y = 0.70x * 2

x + y = 1.40x

Collect like terms

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0.40x = y

Make x the subject

x = \frac{y}{0.40}

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So, the average is:

Average = (1 - 30\%) * x

Average = (1 - 30\%) * 2.50y

Average =0.70 * 2.50y

Average =1.75y

Rewrite as:

Average =(1 + 0.75)y

Express as percentage

Average =(1 + 75\%)y

This means that the average is 75% bigger than the second number

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Step-by-step explanation:

1. You subtract 2x from 5x on the other side to get rid of the 2x leaving you with 3x.

2. Then you add 5 to 97 to get rid of the -5, giving you 102 on the opposite side.

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