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gtnhenbr [62]
3 years ago
5

Tickets to a concert cost $2 for children and $5 for adults. If 630 people attended the concert and the ticket sales totaled $2,

910, how many children attended the concert?
Mathematics
1 answer:
Amanda [17]3 years ago
8 0
C+a=630

a=630-c

2c+5a=2910 using a found above in this we have:

2c+5(630-c)=2910

2c+3150-5c=2910

-3c+3150=2910

-3c=-240

c=80

So 80 children attended the concert.
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DochEvi [55]

Answer:

716.31454 and 228.01π

Step-by-step explanation:

Area = πr^2

π · 15.1^2 ≈ 716.31454

Area in terms of pi = 228.01π

Thank you for posting this question! If you feel my answer is correct, please mark Brainliest. If you need help with anything else, let me know! :)

8 0
3 years ago
What are the steps to find the value of b ?
vazorg [7]
The angles should add to 540, so
b+ (3/2)b+(b+45)+(2b-90)+90=540

First combine like terms
5.5b+45=540

Then subtract 45 from both sides
5.5b=495

Divide both sides by 5.5
b=90

Final answer: b=90
6 0
3 years ago
Let H be the set of all polynomials having degree at most 4 and rational coefficients. Determine whether H is a vector space. If
Verizon [17]

Answer:

Yes. It is a vector space over the field of rational numbers \mathbb{Q}

Step-by-step explanation:

An element p of the set H has the form

p(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}

where a_{0},a_{1},a_{2},a_{3},a_{4} are rational coefficients.

The operations of addition and scalar multiplication are defined as follows:

p(x)+q(x)=(a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+x_{4}x^4)+(b_{0}+b_{1}x+b_{2}x^{2}+b_{3}x^{3}+b_{4}x^{4})=(a_{0}+b_{0})+(a_{1}+b_{1})x+(a_{2}+b_{2})x^{2}+(a_{3}+b_{3})x^{3}+(a_{4}+b_{4})x^{4}

\lambda p(x)=\lambda (a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4})=\lambda a_{0}+\lambda a_{1}x+\lambda a_{2}x^{2}+\lambda a_{3}x^{3}+\lambda a_{4}x^{4}

The properties that H, together the operations of vector addition and scalar multiplication,  must satisfy are:

  1. Conmutativity
  2. Associativity of addition and scalar multiplication
  3. Additive Identity
  4. Additive inverse
  5. Multiplicative Identity
  6. Distributive properties.

This is not difficult with the definitions given. The most important part is to show that H has a additive identity, which is the zero polynomial, that is closed under vector addition and scalar multiplication. This last properties comes from the fact that \mathbb{Q} is a field, then it is closed under sum and multiplication.

7 0
3 years ago
∠1 and ​ ∠2 ​ are vertical angles. ∠2 ​ has a measure of 93°.
kherson [118]

Answer:

<h2>m∠1 = 93°</h2>

Step-by-step explanation:

The vertical angles have the same measure.

Therefore, if ∠1 and ∠2 ​ are vertical angles and m∠2 = 93°, then m∠1 = 93°.

4 0
3 years ago
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Morgarella [4.7K]

Answer: it's B

step by step explanation: hope this helps

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