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Gelneren [198K]
3 years ago
12

There are three groups of elderly residents at Bayside Residential Home, one with 14 members, the next with 23 members, and the

third with 17 members. The management is selecting a trip for the residents and each choice will cost a certain amount per resident. Write an expression to represent the total cost. Let c represent the cost of the trip per resident.
Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer:

Total Cost - 54c

Step-by-step explanation:

Given is 3 groups of elderly residents at the Bayside Residential Home. One of the home has 14 members, another one with 23 members and the third one with 17 members. Supposing that 'c' represent the cost of trip per resident.

Calculation,

Total of residence

14+23+17

= 54 residents

Hence, since there are 54 residents, total cost 54c.

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Answer:

x=3(one solution)

Step-by-step explanation:

2x+2=3x-1

subtract 2 from both sides

2x=3x-3

subtract 3x from both sides

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2 years ago
You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Co
Alex Ar [27]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

For this case we have the following info given:

ME=0.03 the margin of error desired

Conf= 0.95 the level of confidence given

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

the critical value for 95% of confidence is z=1.96

We can use as estimator for the population of interest \hat p=0.5. And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

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By algebra properties we find the following relationships between each pair of algebraic expressions:

  1. First equation: Case 4
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<h3>How to determine pairs of equivalent equations</h3>

In this we must determine the equivalent algebraic expression related to given expressions, this can be done by applying algebra properties on equations from the second column until equivalent expression is found. Now we proceed to find for each case:

First equation

(7 - 2 · x) + (3 · x - 11)

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Second equation

- 7 + 6 · x - 4 · x + 3

(6 · x - 4 · x) + (- 7 + 3)

(6 - 4) · x - 4

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9 · x - 2 · (3 · x - 3)

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Fourth equation

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Fifth equation

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To learn more on algebraic equations: brainly.com/question/24875240

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Answer:

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Step-by-step explanation:


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Answer:

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