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Artyom0805 [142]
3 years ago
9

Adam bought three laptops for his office at a total cost $1,300. The shopkeeper tried to sell Adam some upgrades and accessories

that would have doubled the price of the first of the third laptop, increasing the total cost 2,400. Adam declined to buy the upgrades and accessories as he had already spent to a lot on the first laptop, in fact $100 more than second and third laptops. What are the original individual prices of the three laptop?
Mathematics
2 answers:
borishaifa [10]3 years ago
6 0
The first is 500 the second 2 are 400
Anastasy [175]3 years ago
4 0

Answer:

Option: A is the correct answer.

     A.  

        first laptop: $700

       second laptop: $400

         third laptop: $200

Step-by-step explanation:

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Is the function even odd or neither?
Mandarinka [93]

The answer is the first option: Even.

The explanation for this exercise is shown below:

1. By definition, if f(x)=f(-x) the fucntion is even.

2. When the graph is symmetric with respect to the y-axis, it is an even function.

3. As you you can see in the graph attached in the problem, the graph is symmetric about the y-axis. Therefore, you can conclude it is an even function.

5 0
2 years ago
The probability of drawing a heart from a standard deck of cards is 0.25. You record the car do you draw and return the car befo
Licemer1 [7]

Answer: C) 0.112

Step-by-step explanation:

In binomial distribution with parameters n (Total trails) and p (probability of getting success sin each trial) , the probability of getting success in x trials is given by :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

Given : The probability of drawing a heart from a standard deck of cards is 0.25

Here , getting heart is the success.

Then p= 0.25

For n= 20

The probability that you will draw a heart seven times i.e. x= 7:

P(X=7)=^{20}C_7(0.25)^7(1-0.25)^{20-7}

P(X=7)=\dfrac{20!}{7!(20-7)!}(0.25)^7(1-0.25)^{20-7}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]

=\dfrac{20\times19\times18\times17\times16\times15\times14\times13!}{7!13!}(0.25)^7(0.75)^{13}\\\\=77520(0.00006103515625)(0.0237572640181)\\\\=0.112406195476\approx0.112

Hence, the probability that you will draw a heart seven times = 0.112

Thus , the correct answer is C) 0.112 .

8 0
3 years ago
Ava's birthday cake is about 11 7/10 cm long. her candles stick up from the cake an additional 5 4/10 cm. what was the total hig
Virty [35]

Total height of the cake and the candles is 17.1 cm

Step-by-step explanation:

  • Step 1: Convert the mixed fractions into decimal expressions.

11 7/10 cm = 117/10 = 11.7 cm

5 4/10 cm = 54/10 = 5.4 cm

  • Step 2: Find total height of the cake and the candles

Total height = 11.7 + 5.4 = 17.1 cm

3 0
3 years ago
Read 2 more answers
Prove the following using a direct proof:
hodyreva [135]

Answer:

Step-by-step explanation:

Prove: That the sum of the squares of 4 consecutive integers is an even integer.

An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.

Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;

5^{2} = 25

6^{2} = 36

7^{2} = 49

8^{2} = 64

The sum of the squares = 25 + 36 + 49 + 64

                                       = 174

Also,

Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;

-10^{2} = 100

-11^{2} = 121

-12^{2} = 144

-13^{2} = 169

The sum of the squares = 100 + 121 + 144 + 169

                                     = 534

Therefore, the sum of the squares of 4 consecutive integers is an even integer.

8 0
3 years ago
Modeling with systems of linear inequalities
NeX [460]
Huh what you mean.....
8 0
3 years ago
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