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ss7ja [257]
2 years ago
12

Zachary sold 1/2 of a 40-acre lot. He then sold 3/5 of the remaining lot. What fraction of the land did he sell in all? (Write t

he fraction in simplest fractional form.)
Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0
4/5 acres of the land were sold.
40* 1/2 = 20
20* 3/5 = 12
12+20= 32
32/40 = 4/5 simplified
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2, 6, 10, 14, ...
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The sequence can be represented by 2 + 4x, where x is a whole number(x \geq 0 and x is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to 2 + 4x and confirm that there is a whole number x which equals the values selected.


2 + 4x = 90 \Rightarrow 4x = 88 \Rightarrow x = 22 \, \checkmark

2 + 4x = 150 \Rightarrow 4x = 148 \Rightarrow x = 37 \, \checkmark

2 + 4x = 160 \Rightarrow 4x = 158 \Rightarrow x = 39.5


When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.


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