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Allushta [10]
2 years ago
14

You are an urban planner assessing the growth of a city. Ten years ago, the city's population was 249,583. Its current populatio

n is 318,270. By about what percentage has the city grown over the past ten years?
Mathematics
2 answers:
joja [24]2 years ago
6 0

Answer:

27.52 percent

Step-by-step explanation:

Percentage increase = (new - original)/ original * 100

new = 318270

old = 249583

Substitute in what we know

percentage increase = (318270-249583)/249583 *100

                                     = (68687/249583) *100

                                       .275207045*100

                                       27.5207045 percent

miss Akunina [59]2 years ago
3 0

Answer:

28%

Step-by-step explanation:

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Web Shooting: A radioactive spider has escaped from the lab and bit you. The spider bite infects (and consequently mutates) 10,0
Mrrafil [7]

Answer:

Step-by-step explanation:

find the solutions below

6 0
2 years ago
A whole number from 1 to 15 inclusive is picked at random.
Helen [10]

Answer:

<u></u>

  • <u>a) 3/7</u>
  • <u>b) 3/5</u>

Explanation:

The figure attached shows the <em>Venn diagram </em>for the given sets.

<em />

<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>

<em />

From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.

There are a total of 7 multiples of 24, from 1 to 15.

Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:

  • 3/7

<em><u /></em>

<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>

The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.

The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.

Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is:

  • 3/5

8 0
2 years ago
Two trains leave New York at the same time heading in opposite directions. Train A travels at 4/5 the speed of train one. After
grandymaker [24]
<h3>Answer:  </h3><h3>speed of train A = 44 mph</h3>

=============================================

Work Shown:

x = speed of train A

y = speed of train B

"train A travels 4/5 the speed of train B" (I'm assuming "train one" is supposed to read "train B"). So this means x = (4/5)y

distance = rate*time

d = x*7

d = (4/5)y*7 = (28/5)y represents the distance train A travels

d = y*7 = 7y represents the distance train B travels

summing those distances will give us 693

(28/5)y + 7y = 693

5*(  (28/5)y + 7y ) = 5*693

28y + 35y = 3465

63y = 3465

y = 3465/63

y = 55

Train B's speed is 55 mph

4/5 of that is (4/5)y = (4/5)*55 = 4*11 = 44 mph

Train A's speed is 44 mph

8 0
2 years ago
A firm places three orders for supplies among five different distributors. Each order is randomly assigned to one of the distrib
Whitepunk [10]

Answer:

a) 12/25

b) 1/25

c) 12/25

Step-by-step explanation:

a) The first order can go anywhere, so it has 5 possibilities out of 5. The second order can go to any distributor except the one that got the first order, so it has 4 possibilities out of 5. The third order may go to any of the 3 remaining distributors, giving us 3 chances out of 5. So the probability is 5/5*4/5*3/5 = 12/25

b) The first order, again, can go anywhere, so it has 5 out of 5. The second and third order have to go to the same distributor, so, in each case, we have only 1 option available out of 5. The probability of this event is 5/5*1/5*1/5 = 1/25

c) This event is the complementary event of the union of the other 2 events the exercise has. If neither the same distributor got all 3 orders non all orders go to different distributors, then necessarily one distributor should got 2 orders and other 1. The probability of this event is, therefore 1-12/25-1/25 = 12/25.

8 0
2 years ago
An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she orders five Falafel wraps,
Andru [333]

Answer:

x (Falafel) = $5.50

y (Turkey BLT) = $7.50

z (Paninis) = $6.00

Step-by-step explanation:

Step 1: Write out systems of equations

5x + 15y + 20z = 260

8x + 18y + 14z = 263

12x + 16y + 12z = 258

There are multiple ways to solve for this systems of equations. I will use an augmented matrix for this:

Top row: [5 15 20 | 260]

Middle row: [8 18 14 | 263}

Bottom row: [12 16 12 | 258]

We find RREF form of the augmented matrix to find our answers:

Top row: [1 0 0 | 11/2]

Middle row: [0 1 0 | 15/2]

Bottom row: [0 0 1 | 6]

And we have our answer!

4 0
2 years ago
Read 2 more answers
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