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guajiro [1.7K]
2 years ago
11

Of the 100 students enrolled at the dance studio, 50 take ballet and 24 take tap dancing. Eight of the students who take ballet

also take tap dancing. If a student at the studio is chosen at random, find the probability that they take ballet, if it is known that they do not take tap dancing
Mathematics
2 answers:
Soloha48 [4]2 years ago
8 0

Answer:

42 over 100

Step-by-step explanation:

MrRa [10]2 years ago
6 0

Answer:21/38

Step-by-step explanation:

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Sierra is selling bracelets to raise money for the Language Club at school. Each bracelet with yellow beads sells for $5. Each b
matrenka [14]

Answer:

Correct answer is:

5y+6r=660\\y=2r+8

Step-by-step explanation:

Given that Number of bracelets with yellow beads is represented by y

Each bracelet with yellow beads is sold for $5.

Total money raised by bracelets with yellow beads = Number of bracelets sold \times Money raised by sale of one such bracelet = 5y

Also Given that Number of bracelets with Orange beads is represented by r

Each bracelet with orange beads is sold for $6.

Total money raised by bracelets with orange beads = Number of bracelets sold \times Money raised by sale of one such bracelet = 6r

Given that total money raised by sale of both type of bracelets is $660.

so, the first equation becomes:

5y+6r=660 ....... (1)

It is also given that "<em>The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads</em>"

\Rightarrow r =2r+8 ...... (2)

So, by equation (1) and (2), the system of equations is:

5y+6r=660\\y=2r+8

5 0
2 years ago
What is the value of k such that x-5 is a factor of x3 – x2 + kx - 30?
Paraphin [41]

Answer:

k = - 14

Step-by-step explanation:

given that (x - 5) is a factor of the polynomial then x = 5 is a root and

x³ - x² + kx - 30 = 0 for x = 5, that is

5³ - 5² + 5k - 30 = 0

125 - 25 + 5k - 30 = 0

70 + 5k = 0 ( subtract 70 from both sides )

5k = - 70 ( divide both sides by 5 )

k = - 14


5 0
2 years ago
A swimmer can swim 50.2 meters in 1 minute. How far can he swim in half an hour? *
belka [17]

Answer:

1506meters

Step-by-step explanation:

1hour-60minutes

which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes

50.2-1min

x -30min

x=50.2×30

x=1506meters

6 0
2 years ago
Read 2 more answers
A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
rusak2 [61]

<span>m∠A =73.7° 
m∠B = 16.3°
m∠C = 90<span>°</span></span>
3 0
2 years ago
Read 2 more answers
IM OFFERING 100 POINTS, I NEED HELP AND ITS TIMED
Assoli18 [71]

Answer:

look below

Step-by-step explanation:

Part A: The y-intercept is $1,500

The x-intercept is 20 days

Part B: Equation of the line in point-slope form is  y - 1350 = -75×(x - 2) Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500  

Part C:

f(x) = -75·x + 1500

Part D: $1,125 Step-by-step explanation: The information given are; x,                 g(x) 0,                 $1,500 2,                 $1,350 4,                 $1,200 The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is  y = m·x + c Where; m = The slope c = The y-intercept From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350); The y-intercept = y at x = 0 = 1,500 y = -75·x + 1500 x = 1500/75 = 20  

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/5966450-the-table-of-values-represents-a-linear-function-g-x-where-x-is.html

I hope this helps I know its kinda confusing

3 0
2 years ago
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