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Arisa [49]
3 years ago
15

Please help 45 = 32 - 47n

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
5 0

Step-by-step explanation:

45=32-47n

45-32=-47n

13=-47n

13/-47=n

0.276=n

n=0.276

Scilla [17]3 years ago
4 0

Answer:

45=32-47n

Step-by-step explanation:

4n7=45+35

47n=80

n=80:47

n=80/47

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What are the solutions of x^2-2x+5=0
sweet [91]

The solution of x^{2}-2 x+5=0 are 1 + 2i and 1 – 2i

<u>Solution:</u>

Given, equation is x^{2}-2 x+5=0

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}  --- (1)

<em><u>Let us determine the nature of roots:</u></em>

Here in x^{2}-2 x+5=0 a = 1 ; b = -2 ; c = 5

b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16

Since b^2 - 4ac < 0 , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}

On solving we get,

x=\frac{2 \pm \sqrt{4-20}}{2}

x=\frac{2 \pm \sqrt{-16}}{2}

x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}

we know that square root of -1 is "i" which is a complex number

\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0
3 years ago
The ratio of boys to girls in the ninth grade is 6:5. If there are 185 girls in the class, how many boys are there?
xeze [42]

Answer:

222 boys

Step-by-step explanation:

Let x = total number of ninth graders. By knowing how many students there are in the grade, we can find for the number of boys.

\frac{5}{6+5}x = 185 (number of girls in ninth grade)

\frac{5}{11}x = 185

x=407

To find for the number of boys, we can use substitution:

\frac{6}{6+5}x = \frac{6}{11}(407)

=222

∴ There are 222 boys in the class.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
The following table shows the estimated populations and annual growth rates for four countries in the year 2000. Find the
gladu [14]

Answer:

Part 1) Australia 19,751,012\ people

Part 2) China 1,319,645,764\ people

Part 3) Mexico 109,712,539\ people

Part 4) Zaire 60,534,681\ people

Step-by-step explanation:

we know that

The equation of a exponential growth function is given by

P(t)=a(1+r)^t

where

P(t) is the population

t is the number of years since year 2000

a is he initial value

r is the rate of change

Part 1) Australia

we have

a=19,169,000\\r=0.6\%=0.6\100=0.006

substitute

P(t)=19,169,000(1+0.006)^t

P(t)=19,169,000(1.006)^t

Find the  expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=19,169,000(1.006)^5=19,751,012\ people

Part 2) China

we have

a=1,261,832,000\\r=0.9\%=0.9\100=0.009

substitute

P(t)=1,261,832,000(1+0.009)^t

P(t)=1,261,832,000(1.009)^t

Find the  expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=1,261,832,000(1.009)^5=1,319,645,764\ people

Part 3) Mexico

we have

a=100,350,000\\r=1.8\%=1.8\100=0.018

substitute

P(t)=100,350,000(1+0.018)^t

P(t)=100,350,000(1.018)^t

Find the  expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=100,350,000(1.018)^5=109,712,539\ people

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we have

a=51,965,000\\r=3.1\%=3.1\100=0.031

substitute

P(t)=51,965,000(1+0.031)^t

P(t)=51,965,000(1.031)^t

Find the  expected population in 2025,

Find the value of t

t=2005-2000=5 years

substitute the value of t in the equation

P(5)=51,965,000(1.031)^5=60,534,681\ people

8 0
3 years ago
Larry earns $11.25/hour selling televisions. He also earns 4.5% commission on his sales. What is his
monitta

Answer:

C) $573.75

Step-by-step explanation:

We can come up with the equation of this Gross Weekly pay as:

P(t)=11.25t+0.045S

Where P is the amount Larry will get paid, t is the time worked and S is the amount of sales he generated that week.  This was derived from the fact that 11.25 is the slope and 0.045S is the y-intercept.  By plugging in those values we have:

P(35)=11.25(35)+0.045(4000)=573.75

C) $573.75

4 0
3 years ago
Alberto and 9 of his friends went out to eat. they decide to split the bill evenly. each person paid $18. what was the total bil
Aleks04 [339]
Alberto and 9 of his friends went out to eat.
1 + 9 = 10
So there are 10 people in total.
Each person paid the same amount, $18.

18 × 10 = 180

The total bill was $180.
8 0
3 years ago
Read 2 more answers
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