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Bumek [7]
2 years ago
7

What is the common difference for this arithmetic sequence 45,40,35,30,25,

Mathematics
1 answer:
Leviafan [203]2 years ago
5 0

Answer:

-5

Step-by-step explanation:

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A movie theater earned $3,600 in sold-out ticket sales for the premiere of a new movie. VIP tickets cost $20 per person and regu
julia-pushkina [17]

There are 300 seats in the theater.

Step-by-step explanation:

Given,

Cost of one VIP ticket = $20

Cost of one regular ticket = $8

Worth of sold out tickets = $3600

Let,

x represent the number of VIP tickets sold

y represent the number of regular tickets sold

20x+8y=3600     Eqn 1

y = 2x                   Eqn 2

Putting value of y from Eqn 2 in Eqn 1

20x+8(2x)=3600\\20x+16x=3600\\36x=3600

Dividing both sides by 36

\frac{36x}{36}=\frac{3600}{36}\\x=100

Putting x=100 in Eqn 2

y=2(100)\\y=200

Total = x+y = 100+200 = 300

There are 300 seats in the theater.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/10633485
  • brainly.com/question/10672611

#LearnwithBrainly

6 0
3 years ago
How many full hours will it take for the number of amoeba to reach 1 million
dimulka [17.4K]

Answer:

250,000 hours

Step-by-step explanation:

if 2 amoeba takes half an hour then 4 amoeba will take 1 full hour then use 4 to divide 1 million.

If u were to use 2 amoeba to half an hour you will have to divide 1 million into two which is 500,00

5 0
2 years ago
Owen simplified the expression r-8 s-5.<br><br><br>r−8s−5 =  1r8  ⋅ s5 =  s5r8
kobusy [5.1K]

r⁻⁸ s⁻⁵

using the rule x⁻ⁿ=1/xⁿ

r⁻⁸ s⁻⁵ = (1/r⁸)(1/s⁵)

6 0
3 years ago
Read 2 more answers
5x + 4y = 11<br> 2x + 6y = -7
olga55 [171]

\left\{\begin{array}{ccc}5x+4y=11&|\cdot2\\2x+6y=-7&|\cdot(-5)\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+8y=22\\-10x-30y=35\end{array}\right}\ \ \ \ |add\ both\ sides\ of\ the\ equations\\.\ \ \ \ \ \ \ \ \ \ \ -22y=57\ \ \ \ |:(-22)\\.\ \ \ \ \ \ \ \ \ \ \ y=-\dfrac{57}{22}\\\\substitute\ the\ value\ of\ y\ to\ the\ first\ equation\\\\5x+4\left(-\dfrac{57}{22}\right)=11\\\\5x-2\cdot\dfrac{57}{11}=11\ \ \ \ |\cdot11\\\\55x-114=121\ \ \ \ |+114\\\\55x=135\ \ \ \ |:55

x=\dfrac{135}{55}\\\\x=\dfrac{27}{11}\\\\Answer:\ x=\dfrac{27}{11}\ and\ y=-\dfrac{57}{22}\to\left(\dfrac{27}{11},\ -\dfrac{57}{22}\right)

8 0
3 years ago
State the restrictions of 1-x-y/x+y
Ronch [10]

The restriction of the expression as given in the task content is; x +y = 0.

<h3>What is the restriction of the expression?</h3>

The expression in the task content is rational;

(1-x-y)/(x+y).

On this note, the restriction to the expression is the values which render the denominator of the expression equal to 0 and consequently the expression value to undefined.

Hence, the restriction is; x+y = 0.

Read more on undefined rational function;

brainly.com/question/8984184

#SPJ1

7 0
1 year ago
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