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4 years ago

2x+y = 8 -x - 3y = -12

Mathematics

1 answer:

madam [21]4 years ago

3 0

Y = -2x+8
-x-3(-2x+8) = -12
-x+6x-24=-12
5x=12
x=12/5
2(12/5)+y=8
y=8-(24/5)
y=16/5

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Sherry claims that the expression 1x will always be equivalent to a repeating decimal whenever x is an odd number greater than 1

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Complete Question

Sherry claims that the expression 1/x will always be equivalent to a repeating decimal whenever x is an odd number greater than 1.

Which of these values of x will prove Sherry's claim is false?

Answer:

When x = 5

Step-by-step explanation:

Sherry claims that the expression 1/x will always be equivalent to a repeating decimal whenever x is an odd number greater than 1.

Examples of odd numbers greater than 1 : 3, 5, 7, 9, 11 ....

We would put these odd numbers to test

a) When x = 3

= 1/3 = 0.3333333333

b) When x = 5

= 1/5 = 0.2

c) When x = 7

= 1/7 = 0.142857142

d) When x = 9

= 1/9 = 0.1111111111

e) When x = 11

= 1/11 = 0.0909090909

From the above calculation, we can see that the only odd number greater than 1 that will prove Sherry's theory wrong is when x = 5

Therefore, the value of x that will prove Sherry's claim is false is when x = 5

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3 years ago

Solve the equation:<br><br> 3 - 2/9b = 1/3b - 7

aleksandrvk [35]

3 - $\frac{3}{9} b$ = $\frac{1}{3} b$ - 7

First, simplify $\frac{2}{9} b$ to $\frac{2b}{9}$ / Your problem should look like: 3 - $\frac{2b}{9}$ = $\frac{1}{3} b$ - 7
Second, simplify $\frac{1}{3} b$ to $\frac{b}{3}$ / Your problem should look like: 3 - $\frac{2b}{9}$ = $\frac{b}{3}$ - 7
Third, multiply both sides by 9 (the LCD of 9,3). / Your problem should look like: 27 - 2b = 3b - 63
Fourth, add 2b to both sides. / Your problem should look like: 27 = 3b - 63 + 2b
Fifth, simplify 3b - 63 + 2b to 5b - 63. / Your problem should look like: 27 = 5b - 63
Sixth, add 63 to both sides. / Your problem should look like: 27 + 63 = 5b
Seventh, simplify 27 + 63 to 90. / Your problem should look like: 90 = 5b
Eighth, divide both sides by 5. / Your problem should look like: $\frac{90}{5}$ = b
Ninth, simplify $\frac{90}{5}$ to 18. / Your problem should look like: 18 = b
Tenth, switch sides. Your problem should look like: b = 18

Answer: b = 18

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3 years ago