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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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a landscaping company counted 51 invoices for tree services at the end of the month. they charge $375 for a tree installation an
Radda [10]

We used the elimination method to find the ordered pair, (x,y), that represents the situation is (12,39).

Number of invoices = 51

Charge for tree installation = $375

Charge for tree trimming = $54

Total amount in invoices = $6,606

Let x and y represent number of installations and number of trimmings respectively.

Hence,

x + y = 51  ...(1)

375x + 54y = 6606

3 (125x + 18y) = 3*2202

125x + 18y = 2202  ...(2)

Multiplying (1) by 18, we get

18x + 18y = 918  ...(3)

(2) - (3)

107x + 0 = 1284

x = 1284/107 = 12

Hence,

y = 51 - 12 = 39.

To learn more about elimination method, here:-

brainly.com/question/13877817

#SPJ4

3 0
1 year ago
Help me please i don't know what i'm doing please help
UNO [17]

Answer: -1/9

Step by step explanation:

The common difference of an arithmetic sequence can be found by picking 2 consecutive terms, and subtracting the second from the first. For example, if I chose the terms 2 and 1 8/9, I would find the common difference by:

1 8/9 - 2, which is equal to -1/9.

You can confirm this by picking another pair of consecutive terms. Let's pick 1 7/9 and 1 2/3:

1 2/3 - 1 7/9 = -1/9, as 1 2/3 = 1 6/9, so 1 6/9 - 1 7/9 = -1/9

8 0
3 years ago
A pan is heated to 377°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 7
saveliy_v [14]
A graph shows the appropriate choice to be
  A. 277.8 °F

_____
Of course, you get the same result by evaluating
  76 + 301*e^(-0.40)

3 0
3 years ago
If Jeff washes his car in 6 minutes and bob washes the same car in 8 minutes. How long does it take both of them to wash the sam
Tatiana [17]

Answer:

3 3/7 or 24/7 mins

Step-by-step explanation:

Let total job = X

Jeff's rate = X/6

Bob's rate = X/8

Combined rate = X/6 + X/8

(4X × 3X)/24 = 7X/24

7X/24 = X/T

T = X ÷ (7X/24)

T = X × (24/7X)

T = 24/7 mins

Shortcut:

T = product of individual times/sum of individual times

T = (6×8)/(6+8)

T = 48/14

T = 24/7

T = 3 3/7 mins

8 0
3 years ago
Read 2 more answers
A gate is made up of a rectangle and a semicircle, as shown. Find the area of the gate. Use 3.14 for .Round your answer to the n
allochka39001 [22]

Answer:

<em>797.0ft²</em>

Step-by-step explanation:

<u>Find a related diagram attached</u>

Area of the gate = Area of the semicircle + Area of the Rectangle

Area of the semicircle = πr²/2

r is the radius

From the diagram, radius r = 20/2 = 10ft

Area of the semicircle = 3.14(10)²/2

Area of the semicircle = 3.14(100)/2

Area of the semicircle = 314/2

Area of the semicircle = 157ft²

Area of the rectangle = Length * Width

Area of the rectangle = 20*32

Area of the rectangle = 640ft²

Area of the gate = 157 + 640

Area of the gate = 797ft²

<em>Hence the area of the gate is 797.0ft²</em>

7 0
3 years ago
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