Here you go!! Hope this helps
Answer:
49/99
Step-by-step explanation:
Follow the first hint. Since there are two numbers that are repeating, the numerator will be 49. The denominator will have two nines.
Hope this helps!
Answer:
<em>a</em><em>)</em><em>=</em><em> </em><em>5x</em><em>+</em><em>10</em>
<em>b</em><em>)</em><em>=</em><em> </em><em>7y-6</em>
<em>c</em><em>)</em><em>=</em><em> </em><em>6x-6</em>
<em>d</em><em>)</em><em>=</em><em> </em><em>2x</em><em>^</em><em>2</em><em>+</em><em>8x-5</em>
<em>e</em><em>)</em><em>=</em><em> </em><em>6x</em><em>+</em><em>9</em>
<em>f</em><em>)</em><em>=</em><em> </em><em>4xy-4y</em><em>^</em><em>2</em><em>+</em><em>8y</em>
<em>g</em><em>)</em><em>=</em><em> </em><em>-12y</em><em>^</em><em>2</em><em>+</em><em>10y</em>
<em>h</em><em>)</em><em>=</em><em> </em><em>6x</em><em>+</em><em>154</em>
<em>i</em><em>)</em><em>=</em><em> </em><em>6x</em><em>+</em><em>21</em>
<em>h</em><em>)</em><em>=</em><em> </em><em>2x</em><em>^</em><em>2</em><em>+</em><em>16</em>
Let x be the cost of 1 pen
then cost of 1 notebook = x + 8.20
Let y be the number of pens Tan buys
then number of notebooks Tan buys = y/4
She spent $26 more on books than on pens which means
Cost of notebooks - Cost of pens = 26
(x + 8.20) * y/4 - xy = 26
Sinplifying it
(xy + 8.20y)/4 - xy = 26
(xy + 8.20y - 4xy)/4 = 26
8.20y - 3xy = 104
She spent $394 which means
Cost of notebooks + Cost of pens = 394
(x + 8.20) * y/4 + xy = 394
Simplifying it
(xy + 8.20y)/4 + xy = 394
(xy + 8.20y + 4xy)/4 = 394
8.20y + 5xy = 1576
Now, we have two equations,
(1) 8.20y - 3xy = 104
(2) 8.20y + 5xy = 1576
Now we need to find a third equation with either x or y as the subject of any of both the previous equations.
Let's make y the subject of (2) equation
8.20y + 5xy = 1576
y(8.20 + 5X) = 1576
(3) y = 1576/(8.20 + 5x)
Let's substitute the new value of y from (3) into (1) because we rearranged (2) to from (3)
8.20y - 3xy = 104
y(8.20 - 3x) = 104
y = 104/(8.20 - 3x)
1576/(8.20 + 5x) = 104/(8.20 - 3x)
1576 * (8.20 - 3x) = 104 * (8.20 + 5x)
12923.2 - 4728x = 852.8 + 520x
12923.2 - 852.8 = 4728x + 520x
12070.4 = 5248x
12070.4/5248 = x
x = 2.3
Now find the value of y by substituting the value of x in either equation, preferably (3)
y = 1576/(8.20 + 5x)
y = 1576/(8.20 + 5 * (2.3))
y = 80
Therefore cost of 1 notebook = x + 8.20 = 2.3 + 8.20 = $10.50
The answer to your question:
81/10, 8.1, and 8 1/10
