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Yanka [14]
3 years ago
10

3x+4[2x-3(x+1)-20x]=25x+100

Mathematics
1 answer:
sashaice [31]3 years ago
6 0
Simplify:
3x + 4[2x -3x -3 -20x] = 25x +100
3x + 4(-21x -3) = 25x + 100
3x - 84x -12 = 25x + 100
-81x -12 = 25x + 100
Add 12 and Subtract 25x from each side
-106x = 112
X = -112/106
X = -56/53
^^^^^^^^^^
Final Answer^^
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If Sara bought 12 feet of fabric and she is going to make curtains and she has to cut 1/4 sections. How many sections of fabric
Strike441 [17]

Answer:

48

Step-by-step explanation:

You just have to divide the length of the fabric by the length of the sections

6 0
3 years ago
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Consider rolling two fair dice one 3-sided the other 5-sided
Ne4ueva [31]

Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

1\leq x\leq 3,\quad 1\leq y \leq 5

We have P(X=x)=\frac{1}{3} and P(Y=y)=\frac{1}{5}, because the dice are fair.

Now we use the assumption of independence to claim that

P(X=x, Y=y) = P(X=x)\cdot P(Y=y) =\dfrac{1}{3}\cdot\dfrac{1}{5} = \dfrac{1}{15}

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:

  • 2 in a unique way (1+1)
  • 3 in two possible ways (1+2, 2+1)
  • 4 in three possible ways
  • 5 in three possible ways
  • 6 in three possible ways
  • 7 in two possible ways
  • 8 in a unique way

This implies that the probabilities of the outcomes of W=X+Y are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5

8 0
3 years ago
How can I factor 16x^2-44x+24?
Papessa [141]
16x² - 44x + 24
= 4(4x² - 11x + 6)
= 4(x * 4x - 8x - 3x + 2 * 3)
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8 0
3 years ago
What is the multiplicative rate of change of the function shown on the graph? Express your answer in decimal form. Round to the
allsm [11]
In linear models there is a constant additve rate of change. For example, in the equation y = mx + b, m is the constanta additivie rate of change.


In exponential models there is a constant multiplicative rate of change.


The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.


We can test that using several pair of points.


The multiplicative rate of change is calcualted in this way:

 [f(a) / f(b) ] / (a - b)

Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)

[12.5 / 5] / (2 - 1) = 2.5


[5 / 2] / (1 - 0) = 2.5


[2 / 0.8] / (0 - (-1) ) = 2.5


Then, do doubt, the answer is 2.5





6 0
3 years ago
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Find the length of side x.
Nata [24]

Answer:

i think it is 61

Step-by-step explanation:

5 0
3 years ago
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