Please help
Simplify:

a) The determination of the standard quota for the Dagonal district is 40.57%.

b) 1. The standard divisor is 267.19 (4,275/16).

2. The standard, lower, and upper quotas for the four districts are as follow:

                                North         South           East         West      

Standard quota     18.36%       26.32%     45.61%       9.71%

Lower quota             18%          26%            45%            9%

Upper quota             18%          26%            46%           10%

The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.

When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.

The standard divisor is calculated as the total population divided by the total number of seats.

The standard divisor gives the average number of people represented by a Board or seat member.

Data and Calculations:

Residents of Hamilton, NY = 73,465

Board Trustee Members = 12

                              Basel         Heights       Dagonal      Total

Population            13,244         30, 415        29,806    73,465

Proportion            18.03%        41.40%         40.57%      100%

Allocation of Board

Seats                         2                  5                 5               12

Number of seats = 16 seats

                              North         South         East         West      Total

Population               785           1,125         1,950        415       4,275

Proportion            18.36%       26.32%     45.61%       9.71%    100%

Allocation of Board

Seats                        3                 4                7              2          16

Learn more about the quota system at https://brainly.com/question/12105335

Answer:

i think its a trapazoid

Step-by-step explanation:

Based on the times that the machine produces cookies that have the optimal amount of chips, the proportion produced daily with the optimal number of chips is 62.5% or 0.625.

This can be found by the formula:

= (Hours that optimal cookies are produced) / Hours that the machine runs per day

5:30 am is the same as 5.5 hours because 30 minutes is half an hour.

1:30 pm is also the same as 13.5 hours by the above rule and in 24 hour notation.

Proportion of optimal cookies is therefore:

= (11 am - 6am) / (13.5 - 5.5)

= 5 / 8

= 0.625

= 62.5%

Find out more on optimal production at https://brainly.com/question/6348653.

Answer:

1. three hundred ninety six thousand twenty four

2. five million two hundred thousand ninety

3. four million six hundred six thousand two hundred twenty

Step-by-step explanation:

1) Angles opposite congruent sides in a triangle are congruent, so angle H is congruent to angle D.

2) For the same reason as the first problem, angle D is congruent to angle NSD.

3) Since sides opposite congruent angles in a triangle are congruent, segment AH is congruent to segment AS.

4) For the same reason as the third question, segment SA is congruent to segment SN.

✿————✦————✿————✦————✿————✦————✿

So, to find the mean they added up the scores from 20 seasons and divided by 20, the number of seasons to get an average score of 10.4.

10.4 = (x1 +x2 +x3 ... +x20 )/20

Then;

10.4*(20) = (x1 +x2 +x3 ... +x20 )

208 = sum of the first 20 seasons

We want to add one more number in there, the 21st season with a score of 14. Add the 14 to the sum of the first 20 seasons and then divide by 21, the new number of seasons you're averaging.

Mean = (208+14)/21  

✿————✦————✿————✦————✿————✦————✿

Answer

= 10.6

✿————✦————✿————✦————✿————✦————✿

#carryonlearning

120 in sq.  ,   260 in sq.Step-by-step explanation:question 1.area of a parralelogram = perperndicular height x basetherefore area = 8in x 15 inarea is 120in sq.question 2.the second parallelogram dimensions are as followsheight = 8 in +5 in = 13 inbase = 15in + 5in = 20therefore area = 13x20area = 260 in sq.

Answer:

<E=<I (it is a rotated triangle of 180 degrees)

<F=<H (they are both right triangles)

<EGF=<IGH (vertical angles are congruent)

segment FE=segment IH (cpctc)

segment EG=segment HG (cpctc)

segment FG=segment IG (the little dashes on the segments mean that they are congruent.

Answer:

8

Step-by-step explanation:

Primes below 10 are 1,2,3,5,7

the two consecutive primes that would add up less than 10 would be 3 and 5. 3+5 = 8

Step-by-step explanation:

area of 2 triangles + 3 rectangles

2 (0.5×42×28)

=2×588

=1176 inches square

2(35x40)=2800

42×40= + 1680

--------

=4480 inches square

1176+4480

=5656 square units

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$9000\\ P=\textit{original amount deposited}\\ r=rate\to 8.5\%\to \frac{8.5}{100}\dotfill &0.085\\ t=years\dotfill &12 \end{cases} \\\\\\ 9000=Pe^{0.085\cdot 12}\implies 9000Pe^{1.02}\implies \cfrac{9000}{e^{1.02}}=P\implies 3245.35\approx P[/tex]

Answer:

The first answer choice is correct due to its Y-Intercept

Step-by-step explanation:

Of your 2 answer choices, the first answer choice is the best.

This is because your Y-Intercept is one of the most important things you look our first.

It should be (0,-4) which the first one clearly has.

Now, you could look at the growth, it is growing at a different rate that is increasing as opposed to a constant rate.

Both of them have that, but like I said the Y-Intercept Clearly exposed the right answer.

Therefore The first answer choice is correct.

Answer:

4Cl + 2Pb → 2PbCl2

Step-by-step explanation:

It's simplest reaction is:

Pb + Cl2 → PbCl2

Answer:

20 dresses

Make sure to label

Step-by-step explanation:

there is 100 centimeters in 1 meter she has 2200 centimeters of fabric left and need 110 for each dress she can make 20 dresses

C. How much of the first payment on the mortgage is applied to the principle

Answer:    A

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

If you convert these fractions into decimals:
-2 1/2 = -2.5
-2.47 = -2.47
-2/5 = -0.4
5 = 5
21/4 = 5.25
You can see that the order from lest to greatest is answer H

Hope this helps :)

Answer:

1426

Step-by-step explanation:

this question has been asked before and answered incorrectly but people corrected them in the comments.

Answer:

5'3

Step-by-step explanation:

trust me I know what im talking about

Step-by-step explanation:

a- true

b- true

c- false, it can be written 4b

d- true

e- false, 5a

Answer:

A.true B.true C.False D.true E.False

Answer:

9.8

Step-by-step explanation:

The distance is calculated using the formula d=√(x2-x1)²+(y2-y1)².
The first thing to do is subtract to find the necessary values.
X 8 - 4 = 4

Y -3 - 6 = -9

d=√(4)²+(9)²

d=√(16 + 81)

d=√97

d = 9.8488578018 or 9.8

Answer:

A

Step-by-step explanation:

you can see graph of f(x) changed one unit to the left, since it goes to the left, you should +1 in terms of x. so sqr x+1 is the solution. one way to think about that is you plus one for every x value, that means you get to a point previously for one unit. and turns out it looks like you moves to the left.

Hope that helps

Answer:

I-9I

Step-by-step explanation:

Absolute value (the straight brackets) is how far away the number is from zero, this makes -9 into positive 9

Answer:

C. |-9|

Step-by-step explanation:

|-9| = 9

9 > 7 > |5| (5) > -12

Answer:

y=-41

Step-by-step explanation:

[tex]\frac{y+31}{2} =-5\\y+31=-5 \times 2\\y+31=-10\\y=-10-31\\y=-41[/tex]

Answer:

0.11

Step-by-step explanation:

[tex] \frac{1}{10} + \frac{1}{100} \\ \\ = \frac{10}{100} + \frac{1}{100} \\ \\ = \frac{11}{100} \\ \\ = 0.11[/tex]

Answer:

7/16, 21/48, 28/64

Step-by-step explanation:

Hope this helps

Answer:

$21.56

Step-by-step explanation:

Cost and discount of 5 bottles

Answer:

$21.56

Step-by-step explanation:

Original cost of one bottle of detergent = $3.85

Cost of one bottle after 40% mark up = 1.4 × $3.85 = $5.39

Cost of 5 bottles = 5 × $5.39 = $26.95

Cost of 5 bottles after applying 20% discount = 0.8 × $26.95 = $21.56

Therefore, the total cost of 5 bottles of detergent is $21.56

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Information about percetange increase/decrease

If you increase the price of something by 40% then it will be 140% of the original price (the original price is 100% and 100% + 40% = 140%).

Convert to decimal form:  140% = 140/100 = 1.4

Therefore, to calculate an increase of 40%, multiply the original price by 1.4

If you decrease the price of something by 20% then it will be 80% of the previous price (the original price is 100% and 100% - 20% = 80%).

Convert to decimal form:  80% = 80/100 = 0.8

Therefore, to calculate a decrease of 20%, multiply the previous price by 0.8

Answer:

30 cubic feet

Step-by-step explanation:

The volume of a box is found by multiplying the area of the base by the height.  The area of the base is found by multiplying the length by the width.  (3 x 5)(2) = 15(2) = 30 cubic feet