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Alika [10]
3 years ago
6

1. In a class there are 40 students. 90% of them take exams; 3/4 of those who took the exam passed. How many students graduated?

Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0

Answer:

A. 27

Step-by-step explanation:

There are 40 students and 90% of them take exams

      (40 students) * (0.9) = 36 students took exams

Of those 36 students, 75% (or 3/4) of them passed. Assuming passing exams means graduating:

      (36 students) * (0.75 ) = 27 students graduated

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HELPPPP 100 points if you help!!!!
nignag [31]

Answer:

Part A)

Chorus:

c(t)=15(1.12)^t

Band:

b(t)=2t+30

Part B)

After 9 years:

The chorus will have about 41 people.

And the band will have 48 people.

Part C)

About approximately 11 years.

Step-by-step explanation:

We are given that there are 15 people in the chorus. Each year, number of people in the chorus increases by 12%. So, the chorus increases exponentially.

There are 30 people in the band. Each year, 2 new people join the band. So, the band increases linearly.

Part A)

Since after each year, the number of people in the chorus increases by 12%, the new population will be 112% or 1.12 of the previous population.

So, using the standard form for exponential growth:

c(t)=a(r)^t

Where <em>a</em> is the initial population and <em>r</em> is the rate of change.

We will substitute 15 for <em>a </em>and 1.12 for <em>r</em>. Hence:

c(t)=15(1.12)^t

This represents the number of people in the chorus after <em>t</em> years.

We are given that 2 new people join the band each year. So, it increases linearly.

Since there are already 30 people in the band, our initial point or y-intercept is 30.

And since 2 new people join every year, our slope is 2. Then by the slope-intercept form:

b(t)=mt+b

And by substitution:

b(t)=2t+30

This represents the number of people in the band after <em>t</em> years.

Part B)

We want to find the number of people in the chorus and the band after 9 years.

Using the chorus function, we see that:

c(9)=15(1.12)^9\approx41.59\approx41

There will be approximately 41 people in the chorus after 9 years.

And using the band function, we see that:

b(9)=2(9)+30=48

There will be 48 people in the band after 9 years.

Part C)

We want to determine after approximately how many years will the number of people in the chorus and band be equivalent. Hence, we will set the two functions equal to each other and solve for <em>t</em>. So:

15(1.12)^t=2t+30

Unfortunately, it is impossible to solve for <em>t</em> using normal analytic methods. Hence, we can graph them. Recall that graphically, our equation is the same as saying at what point will our two functions intersect.

Referring to the graph below, we can see that the point of intersection is at approximately (10.95, 51.91).

Hence, after approximately 11 years, both the chorus and the band will have approximately 52 people.

5 0
3 years ago
The angles of traingle are in the ratio 3:7:8 find them in degrees as well as in radians​
I am Lyosha [343]
30°, 70°, and 80°.
It is an acute-angled triangle.
Explanation:
The ratio of the measures of ∠s in Δ is 3:7:8.
So, let us suppose that the measures are, 3k, 7k, 8k.
Evidently, their sum is
180°.

3k+7k+8k=180
18k=180
k= 10

Hence, the measures are,
30°, 70°, and 80°.
As all the angles are acute, so is the triangle.
6 0
3 years ago
Nikki Grows 20 Tomato plants. She measures their heights to the nearest centimetre, and writes them down
wariber [46]

Answer:

ok? what am i supposed to do

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Can someone help me, please ?? im stuck 
Tresset [83]

Part A

5x - 5 >= 10 or-3x + 1 > 13

1) This is a disjunction (OR)

5x - 5 >= 10

5x >= 15  

 x >= 3

or

-3x + 1 > 13

-3x > 12

  x < -4

Answer

x <- 4 or x >= 3


Part C:

1) This is a conjunction (And)

5x+ 3 <= 18 and 4 - x < 6

5x <= 15       and  - x < 2

 x <= 3    and        x > -2

Answer

-2 < x <= 3

8 0
3 years ago
How did my teacher get 70?- like I don’t understand
Neporo4naja [7]

Answer:

Each triangle has angles and all of those angles add up to 180 degrees total. since both of those angles at the bottom are equal then their angles would each be 70.

3 0
2 years ago
Read 2 more answers
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