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Rina8888 [55]
3 years ago
10

The Morales family is remodeling their home. They want to remove the wall between the living room. and dining room to make one b

ig living space. ​

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Answer:

Area of living room

= 20(x+5)

= 20x +100

Area of dining room= 20x

Total area

= 20x +100 +20x

= 40x +100

Total perimeter (after wall is removed)

= 2(20) + 2( x+x+5)

= 40 + 2(2x+5)

= 40 +4x +10 (expand)

= 4x +50 (simplify)

Step-by-step explanation:

Area of rectangle= length × breadth

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An author published a book which was being sold online. The first month the author sold 21000 books, but the sales were declinin
Wittaler [7]

Answer:  119,616

You may have to erase the comma when inputting the answer.

=======================================================

Explanation:

The author sells 21,000 books in the first month.

Then they sell 21,000*(1-0.12) = 21,000*(0.88) = 18,480 in the second month.

Then they sell 18,480*(1-0.12) = 18,480*(0.88) = 16,262.4 = 16,262 in the third month.

And so on. These values follow a geometric sequence with first term a = 21,000 and common ratio r = 0.88

We can think of the 0.88 as 88% of the original value (since losing 12%, we keep the remaining 88%)

-------------

Use the formula below to sum the first 9 terms of the geometric sequence

Plug in a = 21000 and r = 0.88

S_n = a*\frac{1-r^n}{1-r}\\\\S_9 = 21000*\frac{1-0.88^9}{1-0.88}\\\\S_9 \approx 21000*\frac{0.6835216}{0.12}\\\\S_9 \approx 21000*5.6960133\\\\S_9 \approx 119,616.2793\\\\S_9 \approx 119,616\\\\

The author sold about 119,616 books over the course of the first nine months.

4 0
2 years ago
Help please i dont know how you can give the response with the number line
Volgvan
The correct answer is 12
6 0
3 years ago
What is the solution of the following system of linear equations?<br> y = x - 7<br> 2y + x=1
andrew-mc [135]

Answer:

x=5

y=-2

Step-by-step explanation:

I just took this!

Hope I helped

5 0
2 years ago
The half life of silicone-32 is 710 years. If 30 grams is present now, how much will be present in 300 years?
Irina18 [472]

Answer:

22.38 g of silicone-32 will be present in 300 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                           N(t)=N_0(\frac{1}{2})^{\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know:

  • The initial quantity of silicone-32 is 30 g.
  • The time elapsed is 300 years.
  • The half life of silicone-32 is 710 years.

So, to find the quantity of silicone-32 remaining we apply the above equation

N(t)=30\left(\frac{1}{2}\right)^{\frac{300}{710}}=30\left(\frac{1}{2}\right)^{\frac{30}{71}}\approx22.38 \:g

22.38 g of silicone-32 will be present in 300 years.

7 0
2 years ago
What is 3 to the powers of 5
My name is Ann [436]

Answer:

3 to the power of 5 = 35 = 243

Step-by-step explanation:

4 0
3 years ago
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