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Komok [63]
3 years ago
8

A math classroom has 30 students. The teacher assigned the students a project and told them they could turn it in

Mathematics
1 answer:
Triss [41]3 years ago
8 0

Answer:

15

Step-by-step explanation:

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Complete the table of ordered pairs for the given linear equation
nika2105 [10]

Answer:

First blank= -1

Second blank= 14

Step-by-step explanation:

Plug in x to the equation. 1/7 x (-7)= -7/7=-1

2=1/7(x) to divide fractions you multiply by the reciprocal

2 x 7/1= 1/7× 7/1

14/1=14

4 0
3 years ago
A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable).
Juli2301 [7.4K]

Answer:

a) 240 ways

b) 12 ways

c) 108 ways

d) 132 ways

e) i) 0.55

ii) 0.4125

Step-by-step explanation:

Given the components:

Receiver, compound disk player, speakers, turntable.

Then a purcahser is offered a choice of manufacturer for each component:

Receiver: Kenwood, Onkyo, Pioneer, Sony, Sherwood => 5 offers

Compact disc player: Onkyo, Pioneer, Sony, Technics => 4 offers

Speakers: Boston, Infinity, Polk => 3 offers

Turntable: Onkyo, Sony, Teac, Technics => 4 offers

a) The number of ways one component of each type can be selected =

\left(\begin{array}{ccc}5\\1\end{array}\right) \left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}4\\1\end{array}\right)

= 5 * 4 * 3 * 4  = 240 ways

b) If both the receiver and compact disk are to be sony.

In the receiver, the purchaser was offered 1 Sony, also in the CD(compact disk) player the purchaser was offered 1 Sony.

Thus, the number of ways components can be selected if both receiver and player are to be Sony is:

\left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}4\\1\end{array}\right)

= 1 * 1 * 3 * 4 = 12 ways

c) If none is to be Sony.

Let's exclude Sony from each component.

Receiver has 1 sony = 5 - 1 = 4

CD player has 1 Sony = 4 - 1 = 3

Speakers had 0 sony = 3 - 0 = 3

Turntable has 1 sony = 4 - 1 = 3

Therefore, the number of ways can be selected if none is to be sony:

\left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right)

= 4 * 3 * 3 * 3 = 108 ways

d) If at least one sony is to be included.

Number of ways can a selection be made if at least one Sony component is to be included =

Total possible selections - possible selections without Sony

= 240 - 108

= 132 ways

e) If someone flips switches on the selection in a completely random fashion.

i) Probability of selecting at least one Sony component=

Possible selections with at least one sony / Total number of possible selections

\frac{132}{240} = 0.55

ii) Probability of selecting exactly one sony component =

Possible selections with exactly one sony / Total number of possible selections.

\frac{\left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) + \left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) + \left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}1\\1\end{array}\right)}{240}

= \frac{(1*3*3*3)+(4*1*3*3)+(4*3*3*1)}{240}

\frac{27 + 36 + 36}{240} = \frac{99}{240} = 0.4125

5 0
3 years ago
Which of the following is the product of the rational expressions shown below?
kotykmax [81]

Answer: OPTION D.

Step-by-step explanation:

You have the expressions given in the problem:

\frac{2}{2x+3}*\frac{9}{x}

To find the product of both expression you must multiplicate them.

You must multiply the numerators of both expression and the denominators of both expression.

Keeping the above on mind, you obtain that the product is:

\frac{2*9}{(2x+3)x}

 \frac{18}{2x^{2}+3x}

3 0
3 years ago
Read 2 more answers
In 30 minutes a shark can swim 4000 feet. About how fast in miles per hour does the shark swim?
GalinKa [24]

Answer:1.515152

Step-by-step explanation:

1000/30 = 133.3 per min

133.3x60

=8000ft to miles

=1.515152 mph

4 0
2 years ago
Read 2 more answers
Jack can run a mile in 9, 1/3 minutes. How long will it take for him to run 3, 1/2 miles?
BARSIC [14]
If you turn 9 1/3 in to a decimal and 3 1/2 in a decimal also 

9 1/3 = 9.3 and 3 1/2 =3.5 
9.3+3.5 =12.8 
12.8=12 4/5


8 0
3 years ago
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