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polet [3.4K]
2 years ago
10

Jorge took 4 minutes to run 1/2 mile. How long will it take him to run 3 miles?

Mathematics
1 answer:
pychu [463]2 years ago
3 0

Answer:

It will take him 24 minutes

Step-by-step explanation:

If it takes him 4 for minutes to run 1/2 mile, then it will most likely take him 8 minutes for 1 mile. Then you multiply 8 by 3, which gives you 24

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1.825 rounded to the nearest hundredth
Alenkinab [10]
The answer is 1.83
you look to the number after the hundreds place which is 5. the rule is that is that place is 5 or more then you can round up with the hundreds place which turned the 2 into a 3

4 0
3 years ago
A country's population in 1994 was 140 million. In 1998 it was 146 million. Estimate the population in 2011 using the exponentia
serious [3.7K]

Answer:

Estimated To Be 167 Million

Step-by-step explanation:

The exponential growth formula is given by

where: P is the population of the country, t years after the initial year (i.e. in this case, 1994).  is the initial population of the country (i.e. the population of the country in 1994).

r is the growth rate of the population and

t s the number of years after the initial year.

We obtain the value of r by comparing the growth between 1994 and 1998.

Here: P = 146, , and t = 4 years

Thus To estimate the population of the country in 2011, we note that 2011 is 17 years after 1994.

Thus, the population of the country in 2011 can be estimated to be

million

Therefore, the population of the country in 2011 can be estimated to be 167 million to the nearest million

7 0
3 years ago
John and Martha are contemplating having children, but John’s brother has galactosemia (an autosomal recessive disease) and Mart
Rina8888 [55]
<h2>Answer:</h2>

Probability=\frac{1}{24}

<h2>Step-by-step explanation:</h2>

As the question states,

John's brother has Galactosemia which states that his parents were both the carriers.

Therefore, the chances for the John to have the disease is = 2/3

Now,

Martha's great-grandmother also had the disease that means her children definitely carried the disease means probability of 1.

Now, one of those children married with a person.

So,

Probability for the child to have disease will be = 1/2

Now, again the child's child (Martha) probability for having the disease is = 1/2.

Therefore,

<u>The total probability for Martha's first child to be diagnosed with Galactosemia will be,</u>

Probability=\frac{2}{3}\times \frac{1}{2}\times \frac{1}{2}\times \frac{1}{4}\\Probability=\frac{1}{24}

(Here, we assumed that the child has the disease therefore, the probability was taken to be = 1/4.)

<em><u>Hence, the probability for the first child to have Galactosemia is \frac{1}{24}</u></em>

3 0
3 years ago
Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs
BabaBlast [244]

Answer:

Randall picks up 68 pounds

Seth picks up 40 pounds

Joanna picks up 52 pounds

Step-by-step explanation:

Let us make an equation in x to find it

∵ Randall's bag weighs  3x - 7 pounds

∵ Joanna's bag weighs  2x + 2 pounds

∵ Seth's bag weighs 2x - 10 pounds

∵ Randall's and Joanna's bags weigh 3 times as much as  Seth's bag

- That means add Randall's bag and Joanna's bag and equate

    the sum by 3 times Seth's bag

∵ Randall's bag + Joanna's bag = 3(Seth's bag)

∴ (3x - 7) + (2x + 2) = 3(2x - 10)

- Simplify the two sides

∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)

∴ 5x + (-5) = 6x - 30

∴ 5x - 5 = 6x - 30

- Add 5 to both sides

∴ 5x = 6x - 25

- Subtract 6x from both sides

∴ -x = -25

- Divide both sides by -1

∴ x = 25

Substitute x by 25 in the weight of each bag

∵ Randall's bag weighs = 3(25) - 7 = 75 - 7

∴ Randall's bag weighs = 68 pounds

∵ Seth's bag weighs = 2(25) - 10 = 50 - 10

∴ Seth's bag weighs = 40 pounds

∵ Joanna's bag weighs  = 2(25) + 2 = 50 + 2

∴ Joanna's bag weighs  = 52 pounds

7 0
3 years ago
Read 2 more answers
How to do question 5 and 6. Can you explain the first one which is A for 5 and 6?<br><br>Thank you​
Illusion [34]

for 6

in a

given

slope(m)=1

point=(2,-4)=(x1,y1)

we know

equation of straight line

y-y1=m(x-x1)

y+4=1(x-2)

y+4=x-2

therefore x-y-6=0 is the required equation

substituting with ax+by+c=0 we get

a=1

b= -1

c= -6

4 0
3 years ago
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