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Artist 52 [7]
2 years ago
10

Mrs. Gray bought 6 pairs of socks for $14.70. She later bought 5 pairs of the same socks for $12.25. Is the relationship proport

ional? If so, what is the constant of proportionality?
Mathematics
1 answer:
devlian [24]2 years ago
3 0

Answer:

yes  !

Step-by-step explanation:

$14.70/6 = $2.45

$2.45 x 5 = $12.25

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A girl scout leader rented a bus for a trip to the museum. The bus company charged $275 plus $.35 for each mile traveled over 35
slava [35]

Answer: The trip was 440 miles

Step-by-step explanation:

A girl scout leader rented a bus for a trip to the museum.

Let x represent the number of miles

traveled over 350 miles.

Let y represent the total cost of travelling x miles

The bus company charged $275 plus $.35 for each mile traveled over 350 miles. This means that for x miles, the cost will be

y = 275 + 0.35x

If the bus trip cost $429, it means that y = 429

To determine the number of miles,we will substitute y = 429 into the equation. It becomes

429 = 275 + 0.35x

0.35x = 429 - 275 = 154

x = 154/0.35 = 440

x = 440 miles

5 0
3 years ago
The sum of two numbers is eight one number is four less than the other find the numbers
mash [69]

Step-by-step explanation:

the numbers : x, y

x + y = 8

x = y - 4

we use the second equation in the first :

y - 4 + y = 8

2y - 4 = 8

2y = 12

y = 6

x = y - 4 = 6 - 4 = 2

4 0
2 years ago
Read 2 more answers
Suppose that you need to create a list of n values that have a specific known mean. Some of the n values can be freely selected.
Leno4ka [110]

As the problem indicates, degrees of freedom are the number of values ​​that can be independently selected before it is necessary to choose specific values ​​to arrive at the desired result.

The average, on the other hand, results from the sum of a list of values ​​divided by the amount of values ​​in the summed list.

Assume that the mean sought is x and consider that the list is composed of a single element a, in that case no random number can be selected, since the mean x must correspond to that number.

If the list were composed of two elements a and b, one of the two values ​​could be chosen randomly, and according to the chosen value the second should be the one whose sum with the previous one results in 2x, this given that the formula of the average \sum\limits_{i=1}^n \frac{ x_{i}}{n}.

With three values ​​a, b and c, it is possible to select two freely, since the thirteen must be the one that balances the sum of a+b, that is (a + b) + c = 3x.

Thus, in general, with n values, it is possible to select n-1 values ​​freely whose sum must be balanced by the last value so that the whole sum is nx.

Answer

In a list of \bf{n} values ​​you can assign \bf{n-1} values ​​freely, that is, you have n-1<em>degrees of freedom.</em>

6 0
3 years ago
Sooo...I just came across this question and I genuinely have no idea what to do. Please help. Thanks! Answer ASAP
Andreyy89
Use the protractor. Put the purple dot on the vertice and the make sure the line is lined up with the bottom and your answer should be lined up.
7 0
3 years ago
Pleas help me!!
Sphinxa [80]
1) Answer: The part of the quadratic formula tells us whether the quadratic equation can be solved by factoring is b^2-4ac

2) 4x^2+6x+2=0
ax^2+bx+c=0; a=4, b=6, c=2
b^2-4ac=(6)^2-4(4)(2)=36-32
b^2-4ac=4

Answer: b^2-4ac=4
7 0
3 years ago
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