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Nonamiya [84]
3 years ago
6

Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking.

2. What is the value of side B? Explain your thinking. 3. What is the value of side c? Explain your thinking. 4. What is the area of the vegetable garden? Show your thinking

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0
  1. The answer is A = x since the opposite sides of a rectangle are the same length.
  2. We'll have B = 9x+2 since this must add to x+4 to result in 10x+6. You could also do (10x+6) - (x+4) and you'll end up with 9x+2.
  3. On the far left side, (5x-3)+A = 5x-3+x = 6x-3. The far right side must add to this. So, x+C+x-2 = 6x-3 turns into C = 4x-1 after isolating C.
  4. Multiply out (5x-3) with (9x+2) to get the full area of 45x^2-17x-6. The steps are shown below

(5x-3)(9x+2)

5x(9x+2)-3(9x+2)

45x^2+10x-27x-6

45x^2-17x-6

You could also use the FOIL rule to get this answer. The box method is another alternative.

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Simplify by combining like terms: -4x - 2y - 7x - 8y
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Step-by-step explanation:

Solving like terms

-4x - 7x - 2y -8y

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Beginning with an integer $n,$ Jake goes through the following steps: $\bullet$ 1. Take the reciprocal of the starting number. $
evablogger [386]

Answer: n= 32

Jakes started with 32

Step-by-step explanation:

Let n represent the initial integer.

Step 1: take the reciprocal.

Reciprocal of n = 1/n

Step 2: double the number obtained in step 1

= 2×1/n = 2/n

Step 3: take the reciprocal of the number obtained in step 2.

Reciprocal of 2/n = n/2

Since he ended up with 16

n/2 = 16

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4 0
3 years ago
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A rocket travels in a trajectory given by the equation s = -4.9t 2 + v0t, where s is meters above ground, t is time in seconds a
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Step-by-step explanation:

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t = -49 / (2 × -4.9)

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The rocket reaches its maximum height after 5 seconds.

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A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 2 as in 4, is not
GREYUIT [131]
All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.

That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If x_i is the component for state i, then you have

x_1+x_2+x_3+x_4=1\iff 0.2+4x_4+0+x_4=1\implies5x_4=0.8\implies x_4=0.16

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8 0
3 years ago
For every 9 black and white copies printed there are 2 color copies printed. If there are 200 color copies printed how many blac
alexandr402 [8]

Answer:

<u>900</u> black and white copies are printed.

Step-by-step explanation:

Given:

For every 9 black and white copies printed there are 2 color copies printed.

If there are 200 color copies printed.

Now, to find the number of black and white copies are printed.

Let the number of black and white copies printed be x.

As given, for every 9 black and white copies printed there are 2 color copies printed.

So, 9 is equivalent to 2.

If there are 200 color copies printed.

Thus, x is equivalent to 200.

Now, to solve by using cross multiplication method:

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<em>By cross multiplying we get:</em>

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<em>Dividing both sides by 2 we get:</em>

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Therefore, 900 black and white copies are printed.

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