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Alik [6]
3 years ago
9

Nuts.com sells raw almonds for $10 per pound and roasted pistachios for $12 per pound. Christopher spends $70, before taxes and

shipping, to purchase 6.3 total pounds of nuts
Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Answer:

Christopher bought 3.5 pounds of roasted pistachios and 2.8 pounds of raw almonds.

Step-by-step explanation:

From the information given, we can write the following equations:

A+P= 6.3 ①

10A+12P= 70 ②

To resolve them, we have to isolate one of the variables in the first equation and then replace that in the second equation:

A=6.3-P ③

10(6.3-P)+12P=70

63-10P+12P= 70

2P= 70-63

P= 7/2=3.5

Now, that we have found the quantity of roasted pistachios, we can replace that in equation number 3 to find the quantity of raw almonds:

A= 6.3-3.5= 2.8

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five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and s
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The number according to the given statement is x<-0.55.

Given the statement is five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths​.

A mathematical statement is a meaningful component of words that can be true or false. Simply, they are known as a statement.

Let us assume the given number be x.

According to the given statement,

Five and three-tenths of a number means 5.3x.

And two and seven-tenths means 2.7.

So, five and three-tenths times a number plus two and seven-tenths means 5.3x+2.7.                ......(1)

It is also given that three and three-tenths times a number means is 3.3x.      

And one and six-tenths means 1.6.

So, three and three-tenths times a number plus one and six-tenths​ means 3.3x+1.6         .......(2)

Now, we will substitute equation (1) less than equation (2) according to the given statement is

5.3x+2.7<3.3x+1.6

Further, we will subtract 2.7 from both sides, we get

5.3x+2.7-2.7<3.3x+1.6-2.7

5.3x<3.3x-1.1

Now, we will subtract 3.3x from both sides, we get

5.3x-3.3x<3.3x-1.1-3.3x

2x<-1.1

Now, we will divide both sides by 2, we get

2x/2<-1.1/2

x<-0.55

Hence, the number for the given statement "five and three-tenths times a number plus two and seven-tenths is less than three and three-tenths times a number plus one and six-tenths​" is -0.55.

Learn more about the algebraic statement from here brainly.com/question/2689808

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What kind of distribution is shown in the frequency table?
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