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Law Incorporation [45]
2 years ago
10

Lillie has read 45 books and read 10 books every year. Dean has read 23 books and reads 12 books every year. How many years will

Dean take to read as many books as Lillie?
Mathematics
1 answer:
baherus [9]2 years ago
4 0

Answer:

11 years

Step-by-step explanation:

x = years to equal

45 + 10x  =  23 + 12x

22 = 2x

x = 11 years

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Find the value of each variable
kondaur [170]

Answer:

The correct answer is option C

a = 10√3, b = 5√3, c = 15 and d = 5

Step-by-step explanation:

Points to remember

The angles of a right angled triangle, 30°, 60° and 90° then sides are in the ratio, 1: √3 : 2

<u>To find the value of variables</u>

From the figure we can see 2 right angled triangle with angle 30, 60 and 90

we get, d= 5 then b = 5√3

b = 5√3  the c = 5√3 * √3 = 15

and a = 2 * 5√3 = 10√3

Therefore the correct answer is option C

a = 10√3, b = 5√3, c = 15 and d = 5

4 0
2 years ago
Read 2 more answers
The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)
olga nikolaevna [1]

Answer:

  • See below

Step-by-step explanation:

<u>We have:</u>

  • p = -1/5x + 100 = -0.2x + 100

a) <u>The revenue is:</u>

  • R = px
  • R = x( -0.2x + 100)
  • R= -0.2x² + 100x

b) <u>x = 200, find R:</u>

  • R = -0.2(200²) + 100(200) = 12000

c) <u>This is a quadratic function and the maximum value is obtained at vertex.</u>

  • x = -100/(-0.2*2) = 250 is the required quantity

d) <u>The max revenue is obtained when -0.2x + 100 at max:</u>

  • The maximum possible is p = 100 when x = 0
5 0
2 years ago
Read 2 more answers
What are the next 3 terms of the following sequence?<br> 3, -1, -5, -9
MA_775_DIABLO [31]

Answer: -13, -17, -21

Explanation: Subtract 4 from each term. Do this for 3 terms

6 0
2 years ago
According to the latest survey the mean world lifespan is 68.8 years the university of Oregon wants to see if the average life s
pishuonlain [190]

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

µ = 68.8

For the alternative hypothesis,

µ ≠ 68.8

This is a two tailed test.

Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.

Since n = 26,

Degrees of freedom, df = n - 1 = 26 - 1 = 25

t = (x - µ)/(s/√n)

Where

x = sample mean = 72.8

µ = population mean = 68.8

s = samples standard deviation = 2.5

t = (72.8 - 68.8)/(2.5/√26) = 8.16

We would determine the p value using the t test calculator. It becomes

p < 0.00001

Assuming a significance level of 0.05, then

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the average life span of the residence of Oregon differs from the world average.

4 0
3 years ago
Determine of which lines, if any, are parallel or perpendicular. Explain.
nalin [4]

Answer:

lines b and c are perpendicular

Step-by-step explanation:

Use slope

slope for parallel is the same

slope for perpendicular is negative reciprocal

line a slope- 1-3/-2-0 is -2/-2 or 1

line b slope- 1-4/4-6 is -3/-2 or 3/2

line c slope- 3-1/1-4 is 2/-3 or - 2/3

none are the same so none are parallel

- 2/3 is the negative reciprocal of 3/2 so lines b and c are perpendicular

8 0
3 years ago
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