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pentagon [3]
3 years ago
13

How do i solve this type of rational equation (x^2-16)/(4-x)

Mathematics
1 answer:
babunello [35]3 years ago
8 0
I thinks it’s -x-4 I’m not sure
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A plan that costs $29.99 another company $19.99 and $0.35 during nights and weekends for what numbers of night and weekend does
Masja [62]

Answer:

<em>29 minutes more</em>

Step-by-step explanation:

Let m represent minutes

changing the statement to algebra, since the second company charges a different rate at night and weekend  we have the equation below;

$19.99 + $0.35m > $29.99

Subtract 19.99 from both sides to isolate m and we have;

$19.99 -$19.99 + $0.35 > $29.99 - $19.99

= $0,35m > $10.00

Divide both side by 0.35 to obtain the value of m;

\frac{0.35m}{0.35} > \frac{10}{0.35}

= m > 28.57

<em>m ⩾ 29 minutes</em>

<em>The second company's will be twenty nine minutes or more costlier than the first company</em>

5 0
3 years ago
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Given m||n, find the value of x.<br> t<br> &gt;m<br> (x+14)<br> (9x-8)"
UkoKoshka [18]

Answer:

1st one

Step-by-step explanation:

8 0
3 years ago
− 3 − {3 − [ − 3(2 +4) − ( − 2)]}
Readme [11.4K]
-22 is the answer i got
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A student was given two data sets, Set A and Set B. Which of the following statements is true?​
guajiro [1.7K]

D

Step-by-step explanation:

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3 years ago
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Mary wants to make 20 gallons of a 52% acid solution by mixing together a 84% acid solution and a 4% acid solution. How much of
Setler [38]

Answer:

  • 12 gallons 84%
  • 8 gallons 4%

Step-by-step explanation:

I like to use an "X-diagram" to solve mixture problems. On the left side are the constituents of the mix; in the middle is the result of the mix; and on the right side are the differences between the numbers on each diagonal. These differences are the ratio numbers for the mix.

Here, that means the ratio of 84% solution to 4% solution is ...

  48 : 32 = 12 : 8

Note that the last two "ratio numbers" were chosen so their sum is 20, hence they represent the number of gallons of the corresponding constituent in the mix. (The sum of the first two ratio numbers is 48+32=80, so to get a sum of 20, we divide each by 4.)

Mary must use ...

  • 12 gallons of 84% acid solution
  • 8 gallons of 4% acid solution

You may note that this solution takes much longer to explain than to do. The math here can all be done without a calculator.

_____

<em>Check</em>

12 × 84% + 8 × 4% = 10.40 = 20 × 52%

_____

<em>Usual Solution</em>

A more conventional approach would be to assign x to the amount of 84% solution needed. Then the number of gallons of acid in the mix is ...

  0.84x + 0.04(20 -x) = 0.52(20)

  0.80x + 0.8 = 10.4 . . . . simplify

  0.80x = 9.6 . . . . . . . . . . subtract 0.8; next, divide by 0.8

  x = 9.6/0.8 = 12 . . . . gallons of 84% acid

  20-x = 8 . . . . . . . . . . gallons of 4% acid

3 0
3 years ago
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