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nata0808 [166]
3 years ago
14

Find the quotient. 6/11 divided by 8/9 Simplify your answer.

Mathematics
1 answer:
scoray [572]3 years ago
6 0
6/11  /  8/9=6/11 * 9/8=3*9 / 11*4=27/44
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Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $30 and same-day tickets cost
Andre45 [30]

The number of advance tickets sold is 25 and same day tickets sold is 30.

Data Given;

  • Advance Ticket = $30
  • Same-day Ticket = $25
  • Total Ticket = $60
  • Total Cost of Ticket = $1625

<h3>System of Equations</h3>

Let the number of advance ticket be represented by x

Let the number of same-day ticket be represented by y

x + y = 60\\&#10;30x + 25y = 1625

From the system of equations above, we can easily pick any to start our calculation.

Using equation (i),

x + y = 60

x = 60 - y ...equation(iii)

Put equation (iii) into equation (ii)

30x + 25y = 1625\\&#10;x = 60 - y\\&#10;30(60 - y) + 25y = 1625\\&#10;1800 - 30y + 25y = 1625\\&#10;1800 -5y = 1625\\&#10;5y = 1800 - 1625\\&#10;5y = 175\\&#10;5y/5 = 175/5\\&#10;y = 35

Put the value of y into equation (i)

x+y = 60\\&#10;x + 35 = 60\\&#10;x = 60 - 35\\&#10;x = 25

From the calculation above, the number of advance tickets sold is 25 and same-day tickets is 30.

Learn more on system of equations here;

brainly.com/question/13729904

6 0
2 years ago
Consuelo's living room is the shape of a rectangle and has an area of 360 square feet. The width of the living room is 5/8 its l
zlopas [31]

Answer:

The answer to your question is length = 24 ft

Step-by-step explanation:

Data

Rectangular-shaped

Area = 360 ft²

lenght = x

width = 5/8x

Formula

Area = length x width

- Substitution

360 = (x)(5/8x)

- Solve for x

360 = 5/8x²

x² = 360(8)/5

x² = 2880 / 5

x² = 576

- Result

x = 24 ft

- Conclusion

The length of the living room is 24 ft and the width is 24(5/8) = 15 ft.

3 0
4 years ago
Drag steps in the given order to evaluate this expression. (−5)(−4)−6−4(6)
german
According to Order of Operations rules, we must multiply before adding or subtracting. 

With this in mind, notice that the first operation is mult.:  (-5)(-4) = +20.

At the end is another mult.:  -4(6) = -24.

So, write    -20 - 6 - 24.  End result:  -50 
8 0
3 years ago
Prove triangle AOC is congruent to triangle BOD​
marta [7]

Step-by-step explanation:

We are given two Triangles and we need to prove them congruent . In ∆AOC and ∆BOD , we have

\to AC = BD ( given ) \\\\\to OD = OA \\\\\to \angle CAO =\angle BDO (Since\ BD || AC )

Therefore by AAS congruent condition we can say that ,

\implies\red{ \triangle AOC \cong \triangle BOD }

Hence Proved!

8 0
3 years ago
What was left of A dollars after 45% of it was spent? (Show your work.)
anastassius [24]

Answer:

0.55A dollars

Step-by-step explanation:

If 45% of the money was spent, then the percentage left was

100% - 45%, or 55%.

Thus, to answer this question, we multiply (A dollars) by 0.55:

0.55A dollars was left after the expenditure of 45% of the original amount.

6 0
3 years ago
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