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gladu [14]
3 years ago
12

At Carver, the number of flutes to

Mathematics
1 answer:
ryzh [129]3 years ago
8 0
Assuming you mean flutes 5: clarinets 4: trumpets 3...
Question 1 Answer: There are <u>36 trumpets</u>
Question 1 Explanation: 60/5=12 (the amount it went up in ratio), then multiply 12 by each of the other ratios. If there are 60 flutes then there are 48 clarinets (4*12) and 36 trumpets (3*12). If you want to check work, you can then divide answer back by 12 and get the ratio again.

Assuming there are no other type of band instruments in Carver's band then...
Question 2 Answer:There are 50 flutes, <u>40 </u>clarinets, and 30 trumpets.
Question 2 Explanation: add the ratio then divide it by the number of band people (5+4+3=12: 120/12=10) this answer is then what you multiply for each ratio. So, flutes 5*10=50, clarinets 4*10=40, trumpets 3*10=30. 50+40+30=120. Therefore, if there are no other type of band instruments in Carver's band there are 40 people who play the clarinet (unless of course some are played by computers/robots or an amazing person can play multiple at a time.
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For selected years, the national health care expenditure, in billion of dollors can be modelled by H=29.57e^0.0970t, remains acu
Sliva [168]

Answer:

The correct answer is 54.76 years.

Step-by-step explanation:

The national health care expenditure (H) , in billion of dollars is modeled by

H = 29.57 × e^{0.0970t}.

To measure the time before which national health expenditure reach 6000 billion dollars.

Thus putting the value of H = 6000 in the above modeled equation we get,

⇒ 6000 = 29.57 × e^{0.0970t}

⇒ \frac{6000}{29.57} = e^{0.0970t}

⇒ 202.908 = e^{0.0970t}

Taking logarithm with the base of e (㏑) both sides we get,

⇒ ㏑ 202.908 = ㏑ e^{0.0970t}

⇒ ㏑ 202.908 = 0.0970 × t

⇒ 0.0970 × t = 5.312

⇒ t = \frac{5.312}{0.0970}

⇒ t = 54.76.

Thus the total time required before which national health expenditure reach 6000 billion dollars is 54.76 years.

3 0
3 years ago
You baked 42 chocolate cupcakes and 28 red velvet cupcakes. You package them in boxes that have the same ratio of chocolate to r
dybincka [34]
42:28
36:24
24:16

16 red velvet cupcakes with 24 chocolate
6 0
3 years ago
4x – 8 = 12<br> 4x - 8 + 8 = 12 + 8<br> 4x = 20<br> 20<br> h
iogann1982 [59]
X=5, if that’s what you’re solving for
6 0
3 years ago
Use the relationship between the side lengths and the angles opposite those sides. What are the smallest and largest angles of △
DENIUS [597]

Let us take a random triangle we call \Delta LMN for a better understanding of the solution provided here.

A diagram of the \Delta LMN is attached here.

The rule to be applied here is the relationship between the side lengths of a triangle and the angles opposite those sides. This relationship states that:

In a triangle, the shortest side is always opposite the smallest interior angle and the longest side is always opposite the largest interior angle.

Let us verify this using the diagram attached.

As per the diagram, the smallest interior angle is \angle L and the side opposite to it, MN=24 has the smallest side just as the relationship had suggested.

Likewise, the largest interior angle is \angle N=108^0 and the side opposite to it, LM=45.7 is the longest side just as the relationship had suggested.

This rule/relationship can be applied to any triangle in question.

4 0
4 years ago
Read 2 more answers
Which equation is equivalent to...
Taya2010 [7]
I believe it’s the first one. sorry if i’m
wrong :)
5 0
3 years ago
Read 2 more answers
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