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Sedbober [7]
2 years ago
12

Ax -c=bx+d solve for x

Mathematics
1 answer:
Amiraneli [1.4K]2 years ago
3 0

Answer:

x = \dfrac{c + d}{a - b}

Step-by-step explanation:

ax - c = bx + d

ax - bx = c + d

x(a - b) = c + d

x = \dfrac{c + d}{a - b}

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If you need to measure the width of your MP3 player to make sure it will fit in carrying case on sale at the mall, which of the
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Dekameter think 
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One inlet pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 20 hours. How long will it take the pipe to
Andrei [34K]
<span>30 hours For this problem, going to assume that the actual flow rate for both pipes is constant for the entire duration of either filling or emptying the pool. The pipe to fill the pool I'll consider to have a value of 1/12 while the drain that empties the pool will have a value of 1/20. With those values, the equation that expresses how many hour it will take to fill the pool while the drain is open becomes: X(1/12 - 1/20) = 1 Now solve for X X(5/60 - 3/60) = 1 X(2/60) = 1 X(1/30) = 1 X/30 = 1 X = 30 To check the answer, let's see how much water would have been added over 30 hours. 30/12 = 2.5 So 2 and a half pools worth of water would have been added. Now how much would be removed? 30/20 = 1.5 And 1 and half pools worth would have been removed. So the amount left in the pool is 2.5 - 1.5 = 1 And that's exactly the amount needed.</span>
6 0
3 years ago
The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the
Darya [45]

Answer:

Brand 1    Brand 2    Difference

37734       35202        2532

45299      41635         3664

36240      35500        740

32100      31950         150

37210       38015       −805

48360     47800        560

38200    37810          390

33500    33215        285

Sum of difference = 2532+ 3664+740+150 −805+  560 +390 +285 = 7516

Mean = d=\frac{7516}{8}

Mean = d=939.5

a) d= 939.5

\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}

=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, t_{\frac{\alpha}{2}}=3.499

Formula for confidence interval = \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)

Substitute the values

confidence interval = 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)

confidence interval = 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right) to  = 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)

Confidence interval −843.396\ to  2722.396

8 0
3 years ago
Mrs. Brown deposits $22,150 into a savings account that will earn 3% simple interest per year.
Andrei [34K]

Answer: 23498.935


Step-by-step explanation:

this helped me in middle school so please remember this equation

A=P(1+R/N)NT

A=AMOUNT

P=PRINCIPAL

R=INTEREST RATE

N=NUMBERS OF TIMES THE INTEREST  IS COMPOUNDED

NT=TIME(YEARS

So now we have this... right...

A=P(1+R/N)NT

you have to fill it in and you will get

a=22,150(1+3/1)^2

put that in your handy dandy calculator and you will get your answer


3 0
3 years ago
Write an inequality relating NM and NL-<br> NM &lt; NL<br> NM&lt;_ NL<br> NM &gt; NL<br> NM&gt;_ NL
spayn [35]

Answer:

NM > LN

Step-by-step explanation:

Here, we want to write an inequality

we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively

as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;

So we can conclude that;

NM > LN

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3 years ago
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