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xxTIMURxx [149]
3 years ago
7

Henry is three more than twice Nicholas’ age. Marcus is 9 less than six times Nicholas’s age. If Henry and Marcus are twins, how

old is Nicholas?
Mathematics
1 answer:
blagie [28]3 years ago
8 0

Answer:

Step-by-step explanation:

Henry is 3 more than twice Nicholas' age. You can write this as :

H = 3 + 2N

Marcus is 9 less than 6 times Nicholas' age:

M = 6N - 9

Since Henry and Marcus are twins, this means H = N.

3 + 2N = 6N - 9

Add 9 to both sides

12 + 2N = 6N

Subtract 2N from both sides

12 = 4N

Divide both sides by 4 to find N.

N = 12/4 = 3

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A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially,
kompoz [17]

Answer:

The growth rate is 7.2%

Step-by-step explanation:

First thing we need to do here is to set up an exponential equation;

This can be written as follows;

F = I(1 + r)^t

where F is the future value = 20,000

I is the initial value = 10,000

r is the rate in percent which we want to calculate

t is time in years = 10 years

Substituting the values in the question into the exponential equation, we have;

20,000 = 10,000(1 + r)^10

divide both side by 10,000

2 = (1+r)^10

Find the 10th root of both sides

1+ r = 2^(1/10)

1 + r = 1.07177346254

r = 1.07177346254-1 = 0.07177346253

Let’s approximate r as 0.072

Now this to percentage?

That would be 72/1000 * 100% = 7.2%

4 0
3 years ago
Find the difference between 7/8 and 1/2 and what is the fraction
Neporo4naja [7]

Answer:

7/8 - 1/2 = 3/8

Step-by-step explanation:

\frac{7}{8} - \frac{1}{2} = \frac{7}{8}-\frac{4}{8}  = \frac{3}{8}

7/8 - 1/2 = 7/8 - 4/8 = 3/8

7 0
4 years ago
Read 2 more answers
One in five 18-year-old Americans has not graduated from high school (The Wall Street Journal, April 19, 2007). A mayor of a nor
daser333 [38]

Answer:

The point estimate for the proportion of 18-year-olds who have not graduated from high school in this city is 0.25.

Step-by-step explanation:

The point estimate is the sample proportion.

She draws a random sample of 80 18-year-olds in the city and finds that 20 of them have not graduated from high school.

This means that:

p = \frac{20}{80} = 0.25

The point estimate for the proportion of 18-year-olds who have not graduated from high school in this city is 0.25.

3 0
3 years ago
Y is directly proportional to x.y is 30 and x is 6 work out the equation linking x and y
kap26 [50]

Answer:

y = 5x

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportionality

To find k use the condition that y = 30 when x = 6

k = \frac{y}{x} = \frac{30}{6} = 5

y = 5x ← equation of proportion

8 0
4 years ago
A. Each day, your teacher randomly calls on 5 students in your class of 30. What is the
Anettt [7]

Answer:

The probality is 5/30 or in simpliest form it is 1/6!

Step-by-step explanation:

Hope this helps! Plz give me brainliest

4 0
3 years ago
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