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inysia [295]
3 years ago
9

Part A

Mathematics
2 answers:
7nadin3 [17]3 years ago
7 0

Answer:

Options A , B and D are fulfilling the requirements.

Step-by-step explanation:

Derek has $80 to spend on used books. Hardcover books cost $10 each, and paperbacks cost $20 each.

Let x be the number of hardcover books and y be the number of paperback books Derek can buy.

The total books he can buy are 10x+20y \leq80

A.  (0, 4) substituting x as 0 and y as 4

0(10)+4(20)

= 80

B.  (2, 3) substituting x as 2 and y as 3

2(10)+3(20)

= 20+60

= 80

C.  (7, 2)  substituting x as 7 and y as 2

7(10)+2(20)

= 70+40

= 110

D.  (8, 0)  substituting x as 8 and y as 0

8(10)+0(20)

= 80

Hence, options A , B and D are fulfilling the requirements.

maxonik [38]3 years ago
6 0
The answer is A, B, and D.
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1 Which expression is equivalent to (7x – 5) – (3x - 2)?​
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Answer:

The answer is D.

Step-by-step explanation:

8 0
3 years ago
In a recent year, 31.6% of all registered doctors were female. If there were 53,000 female registered doctors that year, what wa
Naily [24]

Answer:

The total number of registered doctors was 167,722.

Step-by-step explanation:

Total number of doctors:

The total number of doctors is given by x.

31.6% of all registered doctors were female. 53,000 female doctors.

This means that:

0.316x = 53000

What was the total number of registered doctors?

We have to solve the above equation for x. So

x = \frac{53000}{0.316}

x = 167722

The total number of registered doctors was 167,722.

6 0
2 years ago
SO CONFUSED PLEASE SOMEONE EXPLAIN! DUE SOON AND NEED HELP!!!!!!!! QUESTION IN PICTURE BELOW
jeka57 [31]

Answer:

=> Apply law of cosine

c^2=a^2+b^2-2abcos\left(C\right)

=> input value

z^2=6.5^2 + 9.4^2-\left(6.5\right)\left(9.4\right)\left(cos\left(131\right)\right)

=> simplify

z=\sqrt{\left(6.5^2+\:9.4^2\right)-\left(6.5\right)\left(9.4\right)\left(-0.65605902899\right)}

=> calulcation

z=\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61},\:z=-\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61}

=> apply rule: Distance must be greater than 0

which is about 14.51828

4 0
2 years ago
What is the area????
Ad libitum [116K]

Answer:

49.1 cm^2

Step-by-step explanation:

The appropriate area formula is ...

area = (1/2)(side 1)(side 2)(sin(angle between))

= (1/2)(10 cm)(12 cm)·sin(55°) = 60·sin(55°) cm^2

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6 0
2 years ago
Messages arrive to a computer server according to a Poisson distribution with a mean rate of 11 per hour. Determine the length o
Zarrin [17]

Answer:

The length of the interval during which no messages arrive is 90 seconds long.

Step-by-step explanation:

Let <em>X</em> = number of messages arriving on a computer server in an hour.

The mean rate of the arrival of messages is, <em>λ</em> = 11/ hour.

The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 11.

The probability mass function of <em>X</em> is:

P(X=x)=\frac{e^{-11}11^{x}}{x!};\ x=0,1,2,3....

It is provided that in <em>t</em> hours the probability of receiving 0 messages is,

P (X = 0) = 0.76

Compute the value of <em>t</em> as follows:

P(X=0)=\frac{e^{-11\times t}(11\times t)^{0}}{0!}\\0.76=e^{-11\times t}\\\ln(0.76)=-11\times t\\t=-\frac{\ln(0.76)}{11} \\=0.025\ hours\\\approx90\ seconds

Thus, the length of the interval during which no messages arrive is 90 seconds long.

6 0
3 years ago
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