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jek_recluse [69]
3 years ago
10

28 -4a = 3a -14+2a ------

Mathematics
2 answers:
Greeley [361]3 years ago
6 0
24+14 = 3a + 4a +2a
38 = 9a
——————————
Hope it is helpful.
Lubov Fominskaja [6]3 years ago
6 0

\huge\text{Hey there!}

\huge\textsf{28 - 4a = 3a - 14 + 2a}

\huge\boxed{\rightarrow}\huge\textsf{ 28 - 4a = 5a - 14}

\huge\boxed{\rightarrow}}\huge\textsf{ -4a + 28 = 5a - 14}

\huge\text{SUBTRACT \underline{\underline{5a}} to  BOTH SIDES}

\huge\textsf{-4a + 28 - 5a = 5a - 14 - 5a}

\huge\boxed{\rightarrow}\huge\textsf{ -9a + 28 = -14}

\huge\text{SUBTRACT \underline{\underline{28}} to BOTH SIDES}

\huge\textsf{-9a + 28 - 28 = -14 - 28}

\huge\boxed{\rightarrow}}\huge\textsf{ -9a = -42}

\huge\text{DIVIDE \underline{\underline{-9}} to BOTH SIDES}

\huge\boxed{\mathsf{\dfrac{-9a}{-9}=\dfrac{-42}{-9}}}

\huge\boxed{\rightarrow}\huge\boxed{\star\ \mathsf{\ a = \dfrac{14}{3}}\ \star}

\huge\boxed{\mathsf{Therefore, your \ answer\  is: a = \bf \dfrac{14}{3} }}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\huge\boxed{\frak{Amphitrite1040:)}}

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Solve the equation by completing the square. x^2 -2x = 15
dlinn [17]

Answer:

x = -3  or  x = 5

Step-by-step explanation:

Solve:   x^2 -2x = 15

x^2  - 2x  - 15 = 0

Use the Diamond method of factoring

-15 = 3* -5  and  3 - 5 = -2  so...

x^2  - 2x  - 15 = x^2 -  5x  + 3x  -  15

x^2  - 2x  - 15 = x *(x - 5)  + 3*(x - 5)

x^2  - 2x  - 15 = (x  + 3)*(x - 5)

x^2  - 2x  - 15 = (x  + 3)*(x - 5)  = 0

solve  (x + 3 ) = 0  and  (x - 5) = 0

x = -3  or  x = 5

5 0
3 years ago
What is the probability of these events when we randomly select a permutation of {1,2, ..., n} where n≥4? a) 1 precedes 2 c) 1 i
Paraphin [41]

Answer:

a) 1/2

b) 1/n

c) 1/4

Step-by-step explanation:

a) For each permutation, either 1 precedes 2 or 2 precedes 1. For each permutation in which 1 precedes 2, we can swap 1 and 2 to obtain a permutation in which 2 preceds 1. Thus, half of the total permutations will involve in 1 preceding 2, hence, the probability for a permutation having 1 before 2 is 1/2.

c) If 2 is at the start of the permutation, then it is impossible for 1 to be before 2. If that is not the case, then 1 has a probability of 1/n-1 to be exactly in the position before 2. We can divide in 2 cases using the theorem of total probability,

P( 1 immediately preceds 2) = P (1 immediately precedes 2 | 2 is at position 1) * P(2 is at position 1) + P(1 immediately precedes 2 | 2 is not at position 1) * P(2 is not at position 1) = 0 * 1/n + (1/n-1)*(n-1/n) = 1/n.

d) We can divide the total of permutations in 4 different groups with equal cardinality:

  • Those in which n precedes 1 and n-1 precedes 2
  • those in which n precedes 1 and 2 precedes n-1
  • those in which 1 precedes n and n-1 precedes 2
  • those in which 1 precedes n and 2 precedes n-1

All this groups have equal cardinality because we can obtain any element from one group from another by making a permutations between 1 and n and/or 2 and n-1.

This means that the total amount of favourable cases (elements of the first group) are a quarter of the total, hence, the probability of the event is 1/4.

3 0
3 years ago
Help please I need to do well
makkiz [27]

Answer:

E

Step-by-step explanation:

x < -5.2

x > 5.2

How do I explain...?

8 0
3 years ago
Read 2 more answers
Please helppp
tangare [24]

Answer:

Adult: 50 tickets

Child: 34 tickets

Step-by-step explanation:

Let a be the amount of adult tickets

Let c be the amount of child tickets

Equation:

a + c = 84

14a + 9c = 1,006

Step 1: Multiply a + c = 84 with -9, to canceled c.

-9 (a + c = 84)    →  -9a - 9c = -756

14a + 9c = 1006 → 14a + 9c = 1006

Step 2: Combined the 2 equation together, and solved it.

-9a - 9c = -756

<u>14a + 9c = 1006</u>

       <u> 5a</u> = <u>250</u>

        5        5

           a = 50

Step 3: Plug 50 into the one of the equation, and solved it.

a + c = 84 → 50 + c = 84

                  <u>-50         -50</u>

                            c = 34

Answer: Adult tickets (a) = 50 and Child tickets (c) = 34

To check the answer plug the two number into the equation ( Make sure to add 50 for a and 34 for c).

3 0
3 years ago
210 students were asked whether they want to go to a water park or a roller skating rink for a class party.
Brrunno [24]

Answer:

60.3

Step-by-step explanation:

hope this helps

4 0
3 years ago
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