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Bumek [7]
4 years ago
12

In 2009, a city with a population of 796,000 had 2,388 births. What is the number of births per 10,000 in the city?

Mathematics
1 answer:
Tom [10]4 years ago
7 0
796,000/2388=10,000/x
796,000x= (2388*10,000)
796,000x/796,000=23,880,000/796,000
x=30 births
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One positive number is 9 more than twice another. If their product is 95, find the numbers.
mafiozo [28]

Answer:

The numbers are 19 and 5

Step-by-step explanation:

Given

Let the numbers be x\ and\ y.

So:

x = 9 + 2y --- First statement

x*y = 95 --- second statement

Required

Find x and y

Substitute x = 9 + 2y in x*y = 95

(9 + 2y) * y = 95

9y + 2y^2 = 95

Rewrite as:

2y^2 + 9y - 95 = 0

Expand

2y^2 -10y +19y- 95 = 0

Factorize

2y(y -5) +19(y- 5) = 0

(2y  +19)(y- 5) = 0

Solve for y

2y + 19 =0 or y - 5 = 0

2y = -19 or y = 5

y = -\frac{19}{2} or y=5

Since the numbers are positive, we take only:

y=5

Substitute y=5 in x = 9 + 2y

x = 9 + 2 * 5

x = 9 + 10

x = 19

<em>The numbers are 19 and 5</em>

5 0
3 years ago
Make a mapping diagram for the relation. {(-3, 1), (0, 6), (3, 2), (5, -1)} A. B. C. D.
Sidana [21]

Answer:

B

Step-by-step explanation:

5 0
3 years ago
The table compares the daily average temperature in a park (in degrees Celsius) and the number of people who visited the park th
Simora [160]

Answer:

YES, the number of people who visited the park can be represented as a function of the daily average temperature.

Step-by-step explanation:

From the table of values given which defines the number of visitors to the park as a function of daily temperature, the temperature is the domain values (independent variable), while the number of visitors is the range values (dependent variable).

For any relation to be considered a function, as a principle, any given domain value must have exactly one range value. In other words, there must not be two different range values assign to one domain value.

This means, for the relation between temperature and number of visitors to be considered a function, it must not have a domain value that is mapped to more than one range value.

Examining the table given, if we map each domain value to the range value, we will find out that there are only 1 exact range value for a domain value.

<em>Therefore, we can say: YES, the number of people who visited the park can be represented as a function of the daily average temperature.</em>

7 0
3 years ago
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Which expression represents four less than half a number, n? (show your work)
ikadub [295]
The answer is 1/2n-4

Multiplying a number n by 1/2 is the same as dividing that number by 2.
5 0
2 years ago
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What is the range of g?
morpeh [17]

Answer:

[-1,5]

Step-by-step explanation:

all reals between -1 and 5

6 0
3 years ago
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