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AnnZ [28]
3 years ago
15

A local band is holding a concert. The price of a ticket to the concert is $15. The band must sell enough tickets to cover at le

ast the $525 cost of renting the gym. Write and solve an inequality to determine how many tickets must be sold to at least cover the cost of the gym.
Mathematics
2 answers:
lbvjy [14]3 years ago
7 0
525/15 = 35 they would need to sell 35 tickets for there concert to cover the cost of the gym. <span />
sweet-ann [11.9K]3 years ago
3 0

Answer: 35

Step-by-step explanation:

Given : A local band is holding a concert. The price of a ticket to the concert is $15.

The band must sell enough tickets to cover at least the $525 cost of renting the gym.

Let the number of tickets sold be represented by x.

Then , the required inequality to determine how many tickets must be sold to at least cover the cost of the gym :-

15x\leq525

Divide both sides by 15 , we get

x\leq\dfrac{525}{15}\\\\x\leq35

Hence, the number of tickets must be sold to at least cover the cost of the gym = 35

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Answer:

22.5 quarts

Step-by-step explanation:

Let us find the ratio of orange juice to apple juice. The punch requires 2 quarts of orange juice mixed with 5 quarts of apple juice.

The ratio of orange juice to apple juice is therefore:

2 : 5 or 2/5

Max has 9 quarts of orange juice. By comparing with the ratio, this implies that:

2 / 5 = 9 / x

x = (9 * 5) / 2 = 22.5 quarts

He will need 22.5 quarts of apple juice.

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Your housing and fixed expenses are $685.70/month. If they are 33% of your realized income, how much is your realized income per
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$685.70÷33%=$2,077.88
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A lamina with constant density rho(x, y) = rho occupies the given region. Find the moments of inertia Ix and Iy and the radii of
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Answer:

Ix = Iy = \frac{ρπR^{4} }{16}

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Step-by-step explanation:

Given: A lamina with constant density ρ(x, y) = ρ occupies the given region x2 + y2 ≤ a2 in the first quadrant.

Mass of disk = ρπR2

Moment of inertia about its perpendicular axis is \frac{MR^{2} }{2}. Moment of inertia of quarter disk about its perpendicular is \frac{MR^{2} }{8}.

Now using perpendicular axis theorem, Ix = Iy = \frac{MR^{2} }{16} = \frac{ρπR^{4} }{16}.

For Radius of gyration K, equate MK2 = MR2/16, K= R/4.

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More companies are posting job advertisements on industry specific sites, because the applicants are usually more qualified. Ple
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The probability of event a is x, and the probability of event b is y. if the two events are independent, which condition must be
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Condition (A) P(B/A) = y is true.

<h3>What is probability?</h3>
  • Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.

To find the true condition:


If two events are independent, then:

  • Pr(A∩B) = Pr(A) . Pr(B)

Use formulas for conditional probabilities:

  • Pr(A/B) = Pr(A∩B) / Pr(B)
  • Pr(B/A) = Pr(B∩A) / Pr(A)

For independent events these formulas will be:

  • Pr(A/B) = Pr(A∩B) / Pr(B) = Pr(A) . Pr(B) / Pr(B) = Pr(A)
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Now in your case, Pr(A) = x and Pr(B) = y.

  • Pr(A/B) = x, Pr(B/A) = y, Pr(A∩B) = x.y

Therefore, condition (A) P(B/A) = y is true.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The complete question is given below:

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?

a. P(B|A) = y

b. P(A|B) = y

c. P(B|A) = x

d. P(A and B) = x + y

e. P(A and B) = x/y

5 0
2 years ago
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