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viktelen [127]
4 years ago
9

How to combine fractions 5b/4a+b/3a-3b/a

Mathematics
1 answer:
Step2247 [10]4 years ago
8 0
Most importantly, while including divisions with various denominators, the initial step says that we should change these portions so they have "a similar denominator" .Here are the means for including divisions with various denominators .Construct each portion with the goal that the two denominators are equivalent. Keep in mind, while including divisions with various denominators, the denominators must be the same. So we should finish this progression first. <span>a.         Re-compose every proportionate division utilizing this new denominator </span> <span>b.         Now you can include the numerators, and keep the denominator of the proportionate divisions. </span> <span>c.         Re-compose your answer as a streamlined or decreased division, if necessary. </span> We know this sound like a great deal of work, and it is, yet once you see completely how to locate the Common Denominator or the LCD, and manufacture proportional parts, everything else will begin to become all-good. Thus, how about we set aside our opportunity to do it.   Solution: 5b/4a + b/3a -3b/a =15b/12a + 4b/12a – 36b/12a = -17b/12 a Or <span>= - 1   5b/12a  in lowest  term.

</span>
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Step-by-step explanation:

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8 0
1 year ago
If 40 is increased to 56, what is the percent of change?
weqwewe [10]
It's a 40 percent increase
7 0
3 years ago
A graphing calculator is recommended. A crystal growth furnace is used in research to determine how best to manufacture crystals
Sophie [7]

Answer:

a) w_1 = \frac{-2.156 -\sqrt{2.156^2 -4(0.1)(-183)}}{2*0.1}=-54.896

w_2 = \frac{-2.156 +\sqrt{2.156^2 -4(0.1)(-183)}}{2*0.1}=33.336

And since the power can't be negative then the solution would be w = 33.34 watts.

b) 202= 0.1w^2 +2.156 w +20

0.1w^2 +2.156 w-182=

w_2 = \frac{-2.156 +\sqrt{2.156^2 -4(0.1)(-182)}}{2*0.1}=33.222

204= 0.1w^2 +2.156 w +20

0.1w^2 +2.156 w-184=

w_2 = \frac{-2.156 +\sqrt{2.156^2 -4(0.1)(-184)}}{2*0.1}=33.449

So then the range of voltage would be between 33.22 W and 33.45 W.

c)For this case \epsilon = \pm 1 since that's the tolerance 1C

d) \delta_1 =|33.222-33.336|=0.116

\delta_2 =|33.449-33.336|=0.113

So then we select the smalles value on this case \delta =0.113

e) For this case if we assume a tolerance of \epsilon=\pm 1C for the temperature and a tolerance for the power input \delta =0.113 we see that:

lim_{x \to a} f(x) =L

Where a = 33.34 W, f(x) represent the temperature, x represent the input power and L = 203C

Step-by-step explanation:

For this case we have the following function

T(w)= 0.1 w^2 +2.156 w +20

Where T represent the temperature in Celsius and w the power input in watts.

Part a

For this case we need to find the value of w that makes the temperature 203C, so we can set the following equation:

203= 0.1w^2 +2.156 w +20

And we can rewrite the expression like this:

0.1w^2 +2.156 w-183=

And we can solve this using the quadratic formula given by:

w =\frac{-b \pm \sqrt{b^2 -4ac}}{2a}

Where a =0.1, b =2.156 and c=-183. If we replace we got:

w_1 = \frac{-2.156 -\sqrt{2.156^2 -4(0.1)(-183)}}{2*0.1}=-54.896

w_2 = \frac{-2.156 +\sqrt{2.156^2 -4(0.1)(-183)}}{2*0.1}=33.336

And since the power can't be negative then the solution would be w = 33.34 watts.

Part b

For this case we can find the values of w for the temperatures 203-1= 202C and 203+1 = 204 C. And we got this:

202= 0.1w^2 +2.156 w +20

0.1w^2 +2.156 w-182=

w_2 = \frac{-2.156 +\sqrt{2.156^2 -4(0.1)(-182)}}{2*0.1}=33.222

204= 0.1w^2 +2.156 w +20

0.1w^2 +2.156 w-184=

w_2 = \frac{-2.156 +\sqrt{2.156^2 -4(0.1)(-184)}}{2*0.1}=33.449

So then the range of voltage would be between 33.22 W and 33.45 W.

Part c

For this case \epsilon = \pm 1 since that's the tolerance 1C

Part d

For this case we can do this:

\delta_1 =|33.222-33.336|=0.116

\delta_2 =|33.449-33.336|=0.113

So then we select the smallest value on this case \delta =0.113

Part e

For this case if we assume a tolerance of \epsilon=\pm 1C for the temperature and a tolerance for the power input \delta =0.113 we see that:

lim_{x \to a} f(x) =L

Where a = 33.34 W, f(x) represent the temperature, x represent the input power and L = 203C

8 0
4 years ago
(GEOMETRY PLS HELP SERIOUSLY) A treasure map says that a treasure is buried so that it partitions the distance between a rock an
pogonyaev

You have coordinates of tree T(16,21) and of rock R(3,2). Let S be a point that denotes treasure. Since treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio, you can state that

\dfrac{\overrightarrow{RS}}{\overrightarrow{ST}}=\dfrac{5}{9}.

Find the coordinates of these vectors:

\overrightarrow{RS}=(x_S-3,y_S-2), \\&#10;\overrightarrow{ST}=(16-x_S,21-y_S).

Then

\dfrac{x_S-3}{16-x_S} =\dfrac{5}{9} and \dfrac{y_S-2}{21-y_S} =\dfrac{5}{9}.

Solve these two equations:

1.

9(x_S-3)=5(16-x_S),\\ 9x_S-27=80-5x_S,\\ 9x_S+5x_S=80+27,\\14x_S=107,\\ \\x_S=\dfrac{107}{14}\approx 7.6.

2.

9(y_S-2)=5(21-y_S),\\9y_S-18=105-5y_S,\\9y_S+5y_S=105+18,\\14y_S=123,\\ \\y_S=\dfrac{123}{14}\approx 8.8.

Answer: the treasure are placed at point (7.6,8.8), so the correct choice is B.

5 0
4 years ago
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mrs_skeptik [129]

One plus one is two please use your head.

5 0
4 years ago
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