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anzhelika [568]
3 years ago
10

Day of a measles outbreak at a school, 8 students were identified to have the measles. Each day for the On the first following t

wo weeks, the number of new cases doubled from those identified with the disease the day prior How many students are identified to have measles in all at the end of the 6th day of the outbreak
A. 386
B.415
C.483
D.504
Mathematics
2 answers:
Mrrafil [7]3 years ago
5 0

Answer:

D. 504

Step-by-step explanation:

Let the number of days = x

Now, the number of students doubles each day for the two weeks with the initial number of students having measles = 8.

So, we have,

Days (x)                  Cases doubled                      Number of Students

1                                       8                                                8

2                                      8 × 2                                         16

3                                      16 × 2                                        32

4                                      32 × 2                                       64

So, we get the geometric series as 8, 16, 32, 64,...... for two weeks.

Then, the common ratio = \frac{16}{8}=\frac{32}{16} = 2

Thus, Number of students = 8\times \frac{(1-2^6)}{1-2}

i.e. Number of students = 8\times \frac{(1-64)}{-1}

i.e. Number of students = 8\times \frac{(-63)}{-1}

i.e. Number of students = 8 × 63 = 504

Hence, the number of students having measles at the end of the 6th day are 504.

raketka [301]3 years ago
4 0

Answer: 504

I know that this is correct because I just took a test with this question and I got 100%.

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Tania purchased P packages of pasta for $1.25 each and J jars of sauce for $1.85 each. She purchased 22 items and spent $33.50.
sergey [27]

Answer:

you would need to first do

(p times 1.25)

       +

(j times 1.85)

and then

22 divided by 33.50

Step-by-step explanation:

3 0
3 years ago
What point on the line y=9x+8 is closest to the origin
Marat540 [252]

to find the point, find the location

realize that the shortest line that crosses through the origin and y=9x+8 is perpendicular to y=9x+8

perpendicular lines have slopes that multiply to get -1

y=9x+8 has a slope of 9

9*m=-1, m=-1/9

the slope of the mystery line is -1/9

since it passes through the origin, the y intercept is 0

y=(-1/9)x is the equation of the line from the point to the origin

find the intersection of this line and the original line

set them equal to each other

(-1/9)x=9x+8

multily both sides by 9

-x=81x+72

minus 81 both sides

-82x=72

divide both sides by -82

x=-36/41

find y

y=(-1/9)x

y=(-1/9)(-36/41)

y=4/41

the point is (\frac{-36}{41},\frac{4}{41})

3 0
2 years ago
What is the range of the function f(x) = –2(6x) + 3?
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Answer: y=-12x+3                         hope it helps

5 0
3 years ago
Find the x-intercepts of f(x) = x2 + 7x + 10.
Andrej [43]

Answer:

x = - 5, x = - 2

Step-by-step explanation:

Given

f(x) = x² + 7x + 10

To find the x- intercepts let f(x) = 0, that is

x² + 7x + 10 = 0 ← in standard form

(x + 2)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 5 = 0 ⇒ x = - 5

The x- intercepts are (- 5, 0) and (- 2, 0 )

6 0
3 years ago
A customer buys a CD for $15 and a video game. The customer pays a total of $42.80 for the two items, which includes 7% sales ta
kari74 [83]

Answer:

1.07 (15 + x) = 42.80

Step-by-step explanation:

Given data

CD= $15

Let the cost of the video game be x

The total cost= 15+x

Hence the equivalent expression is

1.07 (15 + x) = 42.80

open bracket

16.05+1.07x= 42.80

42.80-16.05= 1.07x

26.75=1.07x

x= 26.75/1.07

x= 25

Check

7% tax for CD

=0.07*15

=1.05

total =1.05+15

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7% tax for Video game

=0.07* 25

=1.75

total =1.75+25

=$26.75

In all

=26.75+16.05

=$42.8

4 0
3 years ago
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