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USPshnik [31]
3 years ago
13

Which of the following is the appropriate notation when calculating

Mathematics
1 answer:
Hunter-Best [27]3 years ago
5 0

Answer: P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

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Five times the sum of a number and 27 is greater than or equal to six times the sum of that
AleksAgata [21]

The complete version of question:

<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>

Answer:

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

Step-by-step explanation:

As the description of the statement is:

'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>

<em />

As

  • <em>Five times the sum of a number and 27  </em>is written as: 5(x + 27)
  • <em>greater than or equal </em>is written as:  \geq
  • <em>six times the sum of that number and 26'  </em>is written as: 6(x + 26)

so lets combine the whole statement:

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

solving

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

<em />5x+135\ge \:6x+156<em />

<em />5x+135-135\ge \:6x+156-135<em />

<em />5x\ge \:6x+21<em />

<em />5x-6x\ge \:6x+21-6x<em />

<em />-x\ge \:21<em />

<em />\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}<em />

<em />\left(-x\right)\left(-1\right)\le \:21\left(-1\right)<em />

<em />x\le \:-21<em />

Therefore,

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

6 0
3 years ago
Beth bought 15 tickets to a movie, where adult tickets cost $6.00 and
mel-nik [20]

Answer:

  B. a + s = 15

     6a + 4s = 76

Step-by-step explanation:

The two equations you want to write are for the two resources, tickets and dollars. We want to know the numbers of adult and senior tickets, so we assign the variables "a" and "s" to those numbers, respectively. We need to keep the meaning of these variables in mind as we write the equations.

  a + s = 15 . . . . the sum of the numbers of tickets is 15 (resource = tickets)

The amount spent for tickets of a given type will be the number of tickets of that type, multiplied by the cost of tickets of that type. Then 6a represents the amount spent on adult tickets ($6 each for "a" number of tickets).

  6a +4s = 76 . . . the total amount Beth spent on tickets (resource = dollars)

In summary, the two equations are ...

  • a + s = 15
  • 6a +4s = 76 . . . . . . matches choice B

_____

Beth bought 8 adult tickets and 7 senior tickets.

6 0
3 years ago
John has 3-hectares farm land. He wanted that half of his farm will be transplanted by glutinous rice and the other half will be
grandymaker [24]

9514 1404 393

Answer:

  150 kL glutinous rice

  300 kL ordinary rice

Step-by-step explanation:

Each half of the property is 3 ha/2 = 1.5 ha.

For the transplanted glutinous rice, John needs ...

  (100 kL/ha)·(1.50 ha) = 150 kL

For the broadcast ordinary rice, John needs ...

  (200 kL/ha)·(1.50 ha) = 300 kL

5 0
3 years ago
Simplify This expression
REY [17]

Answer:

9

Step-by-step explanation:

10-2×3+5

10-6+5

4+5

9

5 0
3 years ago
Read 2 more answers
a newspaper carrier earns a fixed amount each newspaper he delivers and yesterday his average hourly wage was $7.50 an hour . if
erica [24]

Answer:   .25 cents

Step-by-step explanation:

7.50 x 4=30

30 divided by 120 is .25 cents

3 0
3 years ago
Read 2 more answers
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