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Harman [31]
3 years ago
9

Divide x to the 1 half power divided by x to the 2 sevenths power.

Mathematics
1 answer:
juin [17]3 years ago
5 0

\frac{x^\frac{1}{2} }{x^\frac{2}{7}}

According to the rule of exponents \frac{a^m}{a^n} = a^{(m-n)} , i.e. when two terms are in division with same base , we subtract the exponents

So

\frac{x^\frac{1}{2} }{x^\frac{2}{7}} = x^{(\frac{1}{2}) - (\frac{2}{7})}

=x^\frac{3}{14}

Or

x to the 3 fourteenths power

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The points on the graph show how much Chef Allen pays for different amounts of beans
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Answer:

See explanation

Step-by-step explanation:

The ordered pair (25,20) shows that Chef Allen pays $20 for 20 pounds of beans. The ratio of pounds to dollars is

\dfrac{25}{20}=\dfrac{5}{4}

A. Another plotted points are (5,4), (10,8), (15,12) and (20,16). Find the ratio of pounds to dollars in each case:

(5,4):\ \ \ \dfrac{5}{4}\\ \\(10,8):\ \ \ \dfrac{10}{8}=\dfrac{5}{4}\\ \\(15,12):\ \ \ \dfrac{15}{12}=\dfrac{5}{4}\\ \\(20,16):\ \ \ \dfrac{20}{16}=\dfrac{5}{4}

All points show the same ratio.

B. The line connecting given points is the graph showing how much Chef Allen pays for different amounts of beans. This line starts at the origin (0,0) and passes through the points (5,4), (10,8), (15,12) and (20,16).

C. If he cost of 25 pounds of beans is $20, then the cost of 50 pounds of beans is $40.

7 0
3 years ago
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oksano4ka [1.4K]

Answer:

1  3/5 bags left

Step-by-step explanation:

If she gives 2/5 away, she keeps 3/5

3/5  *  2 2/3 = 3/5 * 8/3 =   24/15  = 1 9/15  = 1 3/5 bags left

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Solving for y, we add 5y to both sides and subtract 4, getting 9x-4=5y. Dividing both sides by 5, we get 9x/5-4/5=y. Since the slope is 9/5 (since 9/5*x=9x/5), we multiply it by -1 and find the reciprocal of it to get -5/9 as the perpendicular slope, so -5x/9+b=y. Plugging 1 in for x and -6 in for y, we get -5*1/9+b=-6 and by adding 5/9 to both sides we get -5-4/9=b , and since in y=mx+b y and x are variables, we end up with y=-5x/9+(-5-4/9) for slope intercept form.

To get it into standard form, we need it in ay+cx=b with a, b, and c being constants. Adding 5x/9 to both sides, we end up with y+5x/9=(-5-4/9) for standard form


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There is a bag filled with 5 blue and 6 red marbles.
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