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Lady bird [3.3K]
4 years ago
6

At a school concert,the orchestra plays 8 songs that are 4.25 min long and 3 songs that are twice as long as each of the others.

how long is the concert?
Mathematics
1 answer:
Kazeer [188]4 years ago
4 0

Answer: 59.5 minutes.


Step-by-step explanation:

1. You have the following information given in the problem above:

- 8 songs are 4.25 minutes long.

- 3 songs are twice as long as each of the others.

2. Therefore, the total time of 8 songs is:

(8)(4.25min)=34min

3. And the total time of the 3 songs is:

(2)(3)(4.25min)=25.5min

4. Therefore, you have that the result is:

34min+25.5min=59.5min

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The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)
Virty [35]

Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

a_n=a_1+d(n-1)

where a_1 is the first term and d is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is a_n.

So the answer is true.

----

You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

a_1=9.5+2(1-1)

a_1=9.5+2(0)

a_1=9.5+0

a_1=9.5

Let n=2:

a_2=9.5+2(2-1)

a_2=9.5+2(1)

a_2=9.5+2

a_2=11.5

Let n=3:

a_3=9.5+2(3-1)

a_3=9.5+2(2)

a_3=9.5+4

a_3=13.5

Let n=4:

a_4=9.5+2(4-1)

a_4=9.5+2(3)

a_4=9.5+6

a_4=15.5

Let n=5:

a_5=9.5+2(5-1)

a_5=9.5+2(4)

a_5=9.5+8

a_5=17.5

Let n=6:

a_6=9.5+2(6-1)

a_6=9.5+2(5)

a_6=9.5+10

a_6=19.5

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

5 0
3 years ago
A survey team is trying to estimate the height of a mountain above a level plain. From one point on the plain, they observe that
Alex73 [517]

Answer:  3528.25

Step-by-step explanation:Make a sideview sketch

you should have 2 triangles, one right-angled containing the height and a scalene triangle with angles 24° , 153° (the supplement of 27°) and 3°

the side opposite the 3° angle is 1000

by let the side opposite the 24° be x, (also the hypotenuse of the right-angled triangle)

x/sin24 = 1000/sin3

x = 1000sin24/sin3

let the height of the mountain be h

sin 27 = h/x

h = x sin27 = (1000sin24/sin3)(sin27)

= 3528.25

8 0
3 years ago
Please help a girl out I'm so confused
Sloan [31]

Answer:

A= 16 B=28

Step-by-step explanation:

So the ration is 4:7, you have to find multiples that have that same ratio

Multiply both numbers by 4, this should get you

16:28

16 + 28 = 44

Therefore this is the correct answer

5 0
3 years ago
A circular region has a population of about 15,500 people and a population density of about 775 people per square kilometer. Fin
Reil [10]

Answer:

2.5 km

Step-by-step explanation:

First, find the area of the region:

  • A circular region has a population of about 15,500 people;
  • A population density of about 775 people per square kilometer.

So, there are 15,500 :775=20 square kilometers.

Now, let x kilometers be the radius of the circular region, then

A_{\text{circilar region}}=\pi r^2\\ \\20=\pi r^2\\ \\r^2=\dfrac{20}{\pi}\approx 6.366198\\ \\r=\sqrt{3.366198}\approx 2.523

To the nearest tenth this is 2.5 km.

6 0
3 years ago
What is -78.6% (-2.4)? A. -188.64 B. -32.75 C. 32.75 D. 188.64
Juliette [100K]

Answer:

D

Step-by-step explanation:

hope this helps

4 0
3 years ago
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