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pshichka [43]
3 years ago
15

A number, y, is equal to the difference of a larger number and 3. The same number is one-third of the sum of the larger number a

nd 9. Which equations represent the situation?
Mathematics
2 answers:
Vinil7 [7]3 years ago
4 0
Equations:

Let x=the larger number

1. y=x-3
2. y=1/3(x+9)

Sholpan [36]3 years ago
4 0

Answer:

The equations are y = x -3\texttt{ and }y=\frac{x+9}{3}

Step-by-step explanation:

Let the number be y and larger number be x.

A number, y, is equal to the difference of a larger number and 3.That is

           y = x -3

The same number is one-third of the sum of the larger number and 9. That is

          y=\frac{x+9}{3}

So the equations are y = x -3\texttt{ and }y=\frac{x+9}{3}

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Holly stops to drink 5 ounces of water every two miles she
AnnyKZ [126]

Answer:

the amount of water she drinks is x, the mileage is y:

<u>    x          y         </u>  

2 miles     5 oz

4 miles     10 oz

6 miles     15 oz

the ratios would be 4/10 and 6/15

Step-by-step explanation:

for every 2 miles Holly runs, she drinks 5 oz of water, right? the ratio is 5:2, so if you were to come up with other numbers that match the ratio, they have to be divisible by the parts of the ratio. so if she runs 2 miles, she drinks 5 oz. if she runs 4 miles, then she drinks 10 oz.

think of a ratio like a fraction (in this case it would be 2/5). if you were to make equivalent ratios, then the two fractions would have to be equal, right? well, when you simplify all of the numbers listed in the table above after making them into fractions, they would all go back to 2/5, so the numbers i came up with above are equivalent ratios, meaning they have the same value when simplified.

hopefully that helps and isn't too confusing! if you need other help, let me know! :)  

7 0
3 years ago
On September 16, 2011, the New York Times reported that the American public's approval rating of Congress had sunk to an all-tim
777dan777 [17]

Answer:

The sample size is  n = 451

Step-by-step explanation:

From the question we are told that

   The margin of error is  E = 0.03

    The sample proportion is  \^ p = 0.12

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{1.96}{0.03} ]^2 *0.12 (1 - 0.12 )

=>   n = 451

3 0
3 years ago
Which circles have a circumference of 24pi units?
dangina [55]
<span>The answer is C. a circle with a diameter of 12 units. The circumference of the circle with the radius r is: C = 2 r π. We know that circumference is 24π units. So: C = 2rπ and C = 24π units. Therefore: 2rπ = 24π. Divide both sides by π: 2rπ / π = 24π / π. Thus: 2r = 24. r = 24/2. r = 12 units.</span>
6 0
3 years ago
The scatterplot shows the relationship between the number of slices of pizza eaten by each member of a football team (x) and the
ivolga24 [154]

Answer:

5.31

Step-by-step explanation:

Given the regression line equation, y = 10 - 0.67x, where,

x = number of slices of pizza eaten

y = number of laps run immediately

Number of laps run by a player who ate 7 slices of pizza can be predicted by plugging in x = 7 into the regression line equation to find y:

y = 10 - 0.67x

y = 10 - 0.67(7)

y = 10 - 4.69

y = 5.31

5 0
3 years ago
Help with this question, ASAP!!
andreev551 [17]

Answer: Your answer would be 6

Step-by-step explanation:

6 0
4 years ago
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