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Ugo [173]
3 years ago
10

last weekend, 5% of the tickets sold at sea world were discount tickets. If sea world sold 60 tickets in all, how many discount

tickets did it sell? use the percent proportion
Mathematics
1 answer:
Ronch [10]3 years ago
5 0
The percent proportion is a/b = p/100, where p is the percentage of the total fraction on the left side of the equation that you are trying to figure out.

We know that p=5, because p represents percentage, and the percentage 5% is equal to the fraction 5/100.  Also, we know that 60 = b, or the denominator as this is the entire portion that we are trying to figure out.

a/60=5/100

Now, we need to use cross products, or multiplying the numerator of one fraction by the denominator of the other, and setting them equal to one another.

100 * a = 60 * 5

If we simplify by multiplying, then we get the equation:

100a = 300

When we divide the variable by the coefficient, we get the equation

a=3

Therefore, sea world sold 3 discount tickets.

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Divide 29 into two parts so that the sun of the squares of the parts is 425.Find the value of each Part.
Taya2010 [7]

Answer:

13 and 16

Step-by-step explanation:

let the 2 parts be x and y, then

x + y = 29 → (1) and

x² + y² = 425 → (2)

From (1) → x = 29 - y → (3)

substitute x = 29 - y into (2)

(29 - y)² + y² = 425 ( expand factor )

841 - 58y + y² + y² = 425 ( rearrange into standard form )

2y² - 58y + 416 = 0 ← in standard quadratic form

divide all terms by 2

y² - 29y + 208 = 0

Consider the factors of 208 which sum to - 29

These are - 13 and - 16, hence

(y - 13)(y - 16) = 0

equate each factor to zero and solve for y

y - 13 = 0 ⇒ y = 13

y - 16 = 0 ⇒ y = 16

substitute these values into (3)

x = 29 - 13 = 16 and x = 29 - 16 = 13

The 2 parts are 13 and 16


4 0
3 years ago
Read 2 more answers
A marble is randomly selected from a bag. The probability of selecting a marble with dots on it is 0.2. The probability of selec
marin [14]

Answer:

0.5

Step-by-step explanation:

Let D be the event of selecting a marble with dots.

Let P be the event of selecting a purple marble.

The probability of selecting a marble with dots, P(D)=0.2

The probability of selecting a marble that is both purple and has dots, P(D \cap P)=0.1

We want to determine the probability of selecting a purple marble given that the marble has dots on it, P(P|D)

By the definition of conditional probability:

P(P|D)= \dfrac{P(P \cap D)}{P(D)} \\= \dfrac{0.1}{0.2}\\ =0.5

The probability of selecting a purple marble given that the marble has dots on it is 0.5.

4 0
3 years ago
Standard deviation of 300, 785, 670, 187, 760, 724
White raven [17]
STEP 1

Mean = \frac{300+785+670+187+760+724}{6} = \frac{3426}{6}=571

STEP 2

Subtract the mean from each data value then square the answer
300-571=-271 ⇒ (-271)^{2} =73441
785-571=214 ⇒ (214)^{2}=45796
670-571=99 ⇒ (99)^{2}=9801
187-571=-384 ⇒ (-384)^{2} =147456
760-571=189 ⇒ 189^{2}=35721
724-571=153 ⇒ 153^{2} =23409

STEP 3

Add the squared answers in STEP 2 then find the mean

\frac{73441+45796+9801+147456+35721+23409}{6}= \frac{335624}{6}=55937.3

STEP 4

Square root the answer in STEP 3
\sqrt{55937.3} =236.5

Standard deviation is 236.5
 
7 0
3 years ago
Quadrilateral A B C D is the image of quardrilateral A B C D under a translation
Ksenya-84 [330]

Answer:

2 right and 5 down

Step-by-step explanation:

8 0
3 years ago
Which point is on the graph of the function shown below?
DaniilM [7]
Then why shane shahs. A
3 0
3 years ago
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