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Aleks [24]
3 years ago
15

A rectangle is 5cm longer that it is broad. It perimeter is 26cm. Find the length and breadth of the rectangle

Mathematics
1 answer:
Maslowich3 years ago
3 0
I hope this helps you


length w+5


width w


26=2 (w+5+w)


13=2w+5


2w=8


w=4


length =4+5=9
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Two candidates are running for mayor in a small town. The campaign committee for candidate A has been conducting weekly telephon
lakkis [162]

Answer:

a) 6,880

b) 4,059

c) Check Explanation

The number of expected votes for candidate A increases only in the first 3 weeks of mudslinging. The rate of weekly increase in those 3 weeks, is provided in the explanation. The number changes weekly for those 3 weeks with an average increase of 101 new votes per week.

Step-by-step explanation:

a. If the election were held today, how many people would vote?

b. How many of those would vote for candidate A?

c. How rapidly is the number of votes that candidate A will receive increasing at the moment?

There are 16,000 registered voters, 43% of whom are planning to vote, with 59% planning to vote for candidate A.

a) Number of registered voters planning to vote = 43% × 16000 = 6880

b) Number of registered voters that will vote and vote for candidate A

= 59% of registered voters planning to vote

= 59% × 6880 = 4059.2 ≈ 4059 people

c) Polls show that the percentage of people who plan to vote is increasing by 5 percentage points per week, and the percentage who will vote for candidate A is declining by 4 percentage points per week.

Since, the 'moment' isn't specified, we will check how much the number is increasing for the first 4 weeks after the mudslinging by candidate B began

Normally, 43% of registered voters want to vote, but now it is increasing at a rate of 5% per week. So, the percentage of registered voters that want to vote is now

43% + 5x% (where x = number of weeks after the mudslinging by candidate B started)

And the percentage of voting, registered voters that want to vote for candidate A is now (59% - 4x%)

After a week, percentage of registered voters that will vote = 48%

Number of registered voters that will vote = 48% × 16000 = 7680

percentage of voting, registered voters that want to vote for candidate A = 55%

Number of voting, registered voters that want to vote for candidate A = 55% × 7680 = 4224

Difference between the initial number of expected votes for candidate A between the beginning of the mudslinging and end of week 1

= 4224 - 4059 = 165

After week 2,

percentage of registered voters that will vote = 53%

Number of registered voters that will vote = 53% × 16000 = 8480

percentage of voting, registered voters that want to vote for candidate A = 51%

Number of voting, registered voters that want to vote for candidate A = 51% × 8480 = 4324.8 = 4325

Difference between the number of expected votes for candidate A between week 1 and week 2

= 4325 - 4224 = 101

After week 3,

percentage of registered voters that will vote = 58%

Number of registered voters that will vote = 58% × 16000 = 9280

percentage of voting, registered voters that want to vote for candidate A = 47%

Number of voting, registered voters that want to vote for candidate A = 47% × 9280 = 4361.6 = 4362

Difference between the number of expected votes for candidate A between week 2 and week 3

= 4362 - 4325 = 37

After week 4,

percentage of registered voters that will vote = 63%

Number of registered voters that will vote = 63% × 16000 = 10,080

percentage of voting, registered voters that want to vote for candidate A = 43%

Number of voting, registered voters that want to vote for candidate A = 43% × 10080 = 4334

Difference between the number of expected votes for candidate A between week 3 and week 4

= 4334 - 4362 = -28

The number of expected votes for candidate A begins to decline after the 4th week of mudslinging.

So, the required 'moment' should be within the first 3 weeks of mudslinging. And the rate of increase weekly is provided above with an average increase of 101 new voters per week.

Hope this Helps!!!

3 0
3 years ago
1. Penny makes 6 liters of applesauce. She saves 0.64 liter for dinner and puts the rest in jars. If each jar holds 0.67 liter,
inessss [21]

Step-by-step explanation:

so, we fill only 6-0.64 = 5.36 liters into the jars.

therefore,

5.36 / 0.67 = 8

she can fill 8 jars.

5 0
2 years ago
Help me plz . im confused..
ArbitrLikvidat [17]

Answer: The answer is B

8 0
3 years ago
Ali bought a music system for rs 6375.00 and spent rs 75.00 on transportation . He sold it for 6400.00 . Find his profit or loss
pentagon [3]

Answer: Loss percent = 0.775%

Step-by-step explanation:

Here,

Total cost = Purchasing price + transportation

⇒ Total cost = 6375 + 75

⇒ Total cost = $ 6450

Selling price = $ 6400

Total cost > Selling price, hence it is a loss.

Loss percent formula :

Loss\% =\dfrac{\text{Loss}}{Total\ cost}\times100\\\\=\dfrac{Total\ cost - Selling price}{Total \ cost}\times100\\\\=\dfrac{6450-6400}{6450}\times100\\\\=\dfrac{50}{6450}\times100=0.775\%

Hence, Loss percent = 0.775%

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3 years ago
An airplane flew for 8 hours at an airspeed of x miles per hour (mph), and for 7 more hours at 325 mph. If the average airspeed
Thepotemich [5.8K]
E. 8x+7(325)=15(325)

It would include the 8 hrs. of x miles per hour and the 7 hrs. of 325 miles per hour, giving the total miles. Then, as you eliminate, you can find out what (x) is.
4 0
2 years ago
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