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pychu [463]
3 years ago
6

Enter the simplified form of the complex fraction in the box. Assume no denominator equals zero.

Mathematics
1 answer:
Olenka [21]3 years ago
5 0

Answer:

\frac{(9-x)}{3x}

Step-by-step explanation:

we have

\frac{\frac{2}{x-3}-\frac{3}{x}}{\frac{3}{x-3}}

step 1

Solve the numerator of the quotient

\frac{2}{x-3}-\frac{3}{x}=\frac{2x-3(x-3)}{(x-3)x}=\frac{2x-3x+9}{(x-3)x}=\frac{9-x}{(x-3)x}

step 2

substitute in the original expression

\frac{\frac{9-x}{(x-3)x}}{\frac{3}{x-3}}

\frac{(x-3)(9-x)}{3x(x-3)}

step 3

simplify

\frac{(9-x)}{3x}

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4. Kay and Allen sell cell phones. Last month Kay sold 17 more cell phones than Allen. Together they both sold 117 cell phones.
forsale [732]

Answer:

Allen sold 50 cell phones while Kay sold 67 cell phones.

Step-by-step explanation:

Let the number of cell phones sold by Allen be x. This will imply that the number of cell phones sold by Kay is x + 17.

Furthermore, we are informed that together they sold a total of 117 cell phones. Therefore, we use the following equation to determine the number of cell phones sold by each;

x + x + 17 = 117

2x + 17 = 117

2x = 100

x = 50

Therefore, Allen sold 50 cell phones while Kay sold 67 cell phones.

7 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (-4, -2)(−4,−2) and (-4, -22) ?(−4,−22)? Write your answer in simpl
Anestetic [448]

The line is vertical, so the slope is infinite

Step-by-step explanation:

Given two points with coordinates (x_1, y_1) and (x_2,y_2), the slope of the line passing through the two points is given by the equation

m=\frac{y_2-y_1}{x_2-x_1}

In this problem, the coordinates of the two points are:

(x_1,y_1)=(-4,-2)

and

(x_2,y_2)=(-4,-22)

which means:

x_1=-4\\y_1=-2\\x_2=-4\\y_2=-22

Substituting all these values into the equation of m, we find the slope of the line:

m=\frac{-22-(-2)}{-4-(-4)}=\frac{-20}{0}=\infty

The slope is infinite: this is because the line is vertical.

Learn more about slope of a line:

brainly.com/question/4152194

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7 0
3 years ago
Sarah,Leah,Haley and Kim bought 5 bottles of water to share among themselves. They divided each bottle of water into 4 equal por
Irina18 [472]

Answer:

Sarah have \frac{5}{4} bottle of water.

Step-by-step explanation:

We are given that,

Total number of bottles = 5

As, each bottle is divided into 4 portions.

The amount of water per person = \frac{1}{4}

Further, Sarah took 1 portion from each bottle and there are 5 bottles.

So, the amount of water Sarah have = \frac{1}{4}\times 5 = \frac{5}{4}

Hence, Sarah have \frac{5}{4} bottle of water.

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3 years ago
A gallon of water weighs 8.345 pounds. Simon uses 11.81 gallons of water while taking a shower. About how many pounds of water d
stealth61 [152]
1 gallon= 8.345 pounds

11.81 gallons= ? Ibs

11.81*8.345= 98.5 Ibs (99)
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Answer:

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