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Flauer [41]
2 years ago
5

Halloween 2018 Solve the equation. Choose the method you prefer to use. Check your answer. 5/4+4m/5 =61/20

Mathematics
1 answer:
lapo4ka [179]2 years ago
4 0

5/4+4m/5 =61/20

multiply each side by 20 to clear the fractions

20 *( 5/4+4m/5 ) = 61/20 * 20

distribute

25 + 16m = 61

subtract 25 from each side

16m = 36

m = 36/16

m = 9/4

m = 2 1/4

Check:

5/4+4m/5 =61/20

5/4 + 4/5 * 9/4 = 61/20

5/4 + 36/20 = 61/20

get a common denominator

25/20 +36/20 = 61/20

61/20=61/20

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(9-27)+9

=-18+9

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4 0
3 years ago
Which ordered pair is a solution of the equation y = -5x + 4
arsen [322]

D. (5,-21) would be your answer

8 0
3 years ago
One pump can empty a pool in 4 days, whereas a second pump can empty the pool in 10 days. How long will it take the two pumps, w
gtnhenbr [62]

Answer:

20/7 days (just less than 3 days)

Step-by-step explanation:

Recall that (1 job) = (rate)(time), so time = (1 job) / (rate).

Set up and solve the following equation:

  1 job

------------------------------- = time required for 2 pumps working together

1 job         1 job

---------- + -------------

4 days      10 days

This comes out to:

              1 job

------------------------------------------- = time required

10 job-days      4 job-days

------------------ + -----------------

   40 days           40 days

or:

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7 0
3 years ago
A die with six faces has the number 1 painted on three of its faces, the number 2 painted on 2 of its faces, and number 3 on one
salantis [7]

Answer:

a) S = {1, 2, 3}

b) P(odd number) = \frac{2}{3}

c) No

d) Yes

Step-by-step explanation:

a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}

However, the sample is not equiprobable because each element has different probabilities.

b) P(odd number) = \frac{number of odd digits}{number of faces}=\frac{4}{6}=\frac{2}{3}

Note that the odd numbers are 1 (on three faces) and 3 (on one face).

c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.

d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:

Let's assume the probability for 1 or 2 is x. Then that of 3 is 2x(because it is twice the others). The sum of probabilities must be 1.

x+x+x+x+x+2x=1

7x=1

x=\frac{1}{7}

P(odd number) = 3\timesProb(1) + Prob(3)

= 3\times\frac{1}{7}+\frac{2}{7} = \frac{5}{7}

7 0
3 years ago
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MaRussiya [10]

Answer:

20x^50

Step-by-step explanation:

4 0
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