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mixas84 [53]
3 years ago
5

If you pick a card at random from a well shuffled deck, what is the probability that your card is NOT a spade or a king

Mathematics
1 answer:
Sergio [31]3 years ago
5 0
How many cards are in a deck??
52

Now subtract the 
 13spades + 3 kings = 16

what is left
36 left
 
want            36
_____      ---------
total             52

answer:   36/52
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Juanita begins to factor an expression as shown. x2 3x−18=(x )(x−) what numbers should be placed in the boxes from left to right
Ivan

The numbers which should be placed in the boxes from left to right, when Juanita factor the expression, is 6 and 3 respectively.

<h3>What is a factor of polynomial?</h3>

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

Juanita begins to factor an expression as shown.

x^2+ 3x-18=(x+  \;\;)(x-\;\;)

To find the value of blank, we have to factor the left-hand side expression using the split the middle term method as,

x^2+ 3x-18\\x^2+ 6x-3x-18\\x(x+6)-3(x+6)\\(x+6)(x-3)

Hence, the numbers which should be placed in the boxes from left to right, when Juanita factor the expression is 6 and 3 respectively.

Learn more about factor of polynomial here;

brainly.com/question/24380382

7 0
2 years ago
Which of the following could be the system of nonlinear inequalities graphed below?
Ivan

Answer:

Option A.

Step-by-step explanation:

step 1

we know that

The equation of the solid line is

y=5

The solution is the shaded area above the solid line

so

The equation of the first inequality is

y\geq 5

step 2

The equation of the dashed line is

y=x^{2} -5x+6

The solution is the shaded area above the dashed line

so

The equation of the second inequality is

y>x^{2} -5x+6

therefore

The system of inequalities could be

y\geq 5

y>x^{2} -5x+6

4 0
3 years ago
A middle schooler took all the 6th grader on a field trip to see ballet. The students filled up 570 seats, which was 95% of the
Musya8 [376]

The total  number of seats in the theater is 600 seats, if the students filled up 570 seats, which was 95% of the total number of seats in the theater.

Step-by-step explanation:

The given is,

                 Seats filled by students are 570 seats

                 Which is 95% of the total number of seats in the theater

Step: 1

                Let, x - Total number of seats available in theater

                Percentage of seats filled, y= 95%

                Seats filled by students = 570

                Formula to calculate total number of seats in theater,

                          95% of seats  = \frac{95}{100}( x)    

                                         570 = 0.95 (x)

                                              x = \frac{570}{0.95}

                                                 = 600

                                              x = 600 seats

Step: 2

            Check for solution,

                            5% of seats  = \frac{5}{100} (600)

                                                  = (0.05 × 600)

                                                  = 30 seats

                    Total no. of seats = 5% of seats  + 95% of seats

                                                  = 30 + 570

                                         600 = 600

Result:

           The total  number of seats in the theater is 600 seats.

7 0
3 years ago
What is the solution to 4(3x−5)=−80? x=−5 x=5 x=−253 x=253
sveta [45]

Answer:

-5

Step-by-step explanation:

5 0
3 years ago
The first term of geometric sequence is 7 and the common ratio is -2. Find the 9th term.
kobusy [5.1K]
a_{1} = 7.

Ratio means multiply/divide.
To get the next number, multiply number by common ratio.
To get a previous number, divide by common ratio.

Since we want the next number...
2nd term: 7 x -2 = -14
3rd term: -14 x -2 = 28
4th term: 28 x -2 = -56
5th term: -56 x -2 = 112

Keep going until 9th term!
5 0
3 years ago
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