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OlgaM077 [116]
1 year ago
11

You sell instruments at a Caribbean music festival. You earn $326 by selling 12 sets of maracas, 6 sets of claves, and x x djemb

e drums. Write an equation you can use to find the number of djembe drums you sold. An equation that you can use is c =326 .
Mathematics
1 answer:
MissTica1 year ago
8 0
326 = 12m + 6c + x = 18 rounded to 19
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Roger and rita each drive at a constant speed between phoenix and san diego. Each driver’s distance for the same section of the
never [62]

Answer:

a)Rita had a 28-mile head start

Step-by-step explanation:

The multiple options have been added in the additional information below the problem statement.

<u>Missing Information:</u>

Since the distance of each driver is not displayed. Let us assume their distances.

Say,

Roger travelled distance = 60 miles

Rita travelled distance = 32 miles

Now as it is given in the problem statement that Roger and Rita both drove at a constant speed between Phoenix and San Diego and they drove "Same Section of the trip" .

Which Means that the distance travelled of both is between Phoenix and San Diego, just their starting points are different but their end point is the same which is San Diego.

<em><u>As we can see RIta had to cover less miles which means she got the head start, now to calculate how much of a head start she got, we need:</u></em>

Head Start Rita got = Distance Roger travelled - Distance Rita Travelled

Head Start Rita got = 60 - 32 = 28 miles

So,

Rita got a Head start of 28 miles which is option (a)

5 0
2 years ago
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The following Venn Diagram shows the results of a teacher survey. A teacher asked her class which students owned android phones,
In-s [12.5K]

Answer: 0.60

Step-by-step explanation:

30 total students

6 have Androids

6+2+4= 12 had services with AT&T

12+6=18

18/30

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1 year ago
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A local fraternity is conducting a raffle where 55 tickets are to be sold—one per customer. There are three prizes to be awarded
harkovskaia [24]

Answer:

(a) 0.0152%

(b) 1.1663%

(c) 19.4297%

(d) 79.3787%

Step-by-step explanation:

Tickets bought by organizers = 4

Number of tickets = 55

Prizes = 3

(a) The probability that the four organizers win all of the prizes is:

P = \frac{4}{55}*\frac{3}{54}*\frac{2}{53}\\P=0.0152\%

(b) The probability that the four organizers win exactly two of the prizes is:

P = \frac{4}{55}*\frac{3}{54}*\frac{51}{53}+\frac{4}{55}*\frac{51}{54}*\frac{3}{53}+\frac{51}{55}*\frac{4}{54}*\frac{3}{53}\\P=1.1663\%

(c) The probability that the four organizers win exactly one of the prizes is:

P = \frac{4}{55}*\frac{51}{54}*\frac{50}{53}+\frac{51}{55}*\frac{4}{54}*\frac{50}{53}+\frac{51}{55}*\frac{50}{54}*\frac{4}{53}\\P=19.4397\%

(d) The probability that the four organizers win none of the prizes is:

P = \frac{51}{55}*\frac{50}{54}*\frac{49}{53}}\\P=79.3787\%

5 0
2 years ago
Caitlin buys some apples and some oranges. She buys twice as many apples as oranges. Each apple costs £0.25 Each orange costs £0
Vitek1552 [10]

Answer:

14

Step-by-step explanation:

Caitlin buys twice as many apples as oranges.

2a=o

Apples cost 0.25 and Oranges cost 0.30, we have a maximum of 5 to spend.

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5=2a(0.30)-0.25a\\5=0.6a-0.25a\\5=0.35a\\a=14

3 0
2 years ago
Holly plays tennis on the school tennis team. She can hit a tennis ball really high in the air. She learned that the quadratic e
Gala2k [10]

Answers:

A. x = 8 seconds

B. y = 80 feet .  We know because it is the peack of the graph.

C. x = 3 s, x=5 s

Step-by-step explanation:

To easily solve this three part problem, we use a graphing tool to plot the equation that describes  the height of the tennis ball over time, after it was hit by a tennis racket. Please, see the attached graph for clarification.

y = -5x^2 + 40*x

(the equation must have the minus sign, otherwise it makes no sense for the problem)

Where,

y = height of the tennis ball in feet,

x = seconds after the ball is hit with the racket

Question A

How long does it take for the ball to hit the ground?

By examining the graph, we need to find the points where the graph intersects with the x-axis.

This is equivalent to making y = 0 in the equation and solving for x

0 = -5x^2 + 40*x

We get two solutions, but time must be positive so, x > 0

The graph shows that when x  = 8 seconds, y = 0

-5(8)^2 + 40*(8) = 0

Question B

What is the highest point reached during the flight of the ball? how do you know?

By examining the graph, we need to find the point where the graph has maximum amplitude.

The point corresponds to  (4,80),  y = 80 feet at x =  4 seconds

We know because it is the maximum peak of the plot. Please see attached picture for reference.

Question C

When was the ball exactly 75 feet off the ground?

We look for y = 75 feet in the plot.

This corresponds to x = 3 seconds and x=5 seconds

This can also be found analytically

75 = -5x^2 + 40*x

75 = -5(3)^2 + 40*(3)

3 0
2 years ago
Read 2 more answers
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