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Rufina [12.5K]
4 years ago
13

The ratio of pencils to erasers is 1:2. There are 24 pencils and erasers in all. How many pencils and erasers are there?

Mathematics
1 answer:
Semenov [28]4 years ago
3 0

There are 8 pencils and 16 erasers.

Step-by-step explanation:

Given,

Ratio of pencils to eraser = 1:2

Total number of pencils and erasers = 24

Let,

x be the original number.

Therefore,

Number of pencils = x

Number of erasers = 2x

Thus,

x+2x = 24

3x=24

Dividing both sides by 3

\frac{3x}{3}=\frac{24}{3}\\x=8

Number of pencils = 8

Number of erasers = 2(8) = 16

There are 8 pencils and 16 erasers.

Keywords: ratio, division

Learn more about ratio at:

  • brainly.com/question/10989800
  • brainly.com/question/10990024

#LearnwithBrainly

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Goryan [66]

Answer:

A=53.13\°

Step-by-step explanation:

The figure shows a right triangle.

To calculate the measure of the angle A, you can use the inverse trigonometric function arctangent:

\alpha=arctan(\frac{opposite}{adjacent})

Identify the angle \alpha, the opposite side and the adjacent side:

\alpha=A\\opposite=4cm\\adjacent=3cm

Substitute into \alpha=arctan(\frac{opposite}{adjacent}).

The measure of the angle A is:

A=arctan(\frac{4}{3})\\\\A=53.130\°

Rounded to the nerarest hundreth:

A=53.13\°

4 0
4 years ago
Find a function where f(0)=2 and f(1)=2
xenn [34]

Answer:

Do you want to be extremely boring?

Since the value is 2 at both 0 and 1, why not make it so the value is 2 everywhere else?

f(x) = 2 is a valid solution.

Want something more fun? Why not a parabola? f(x)= ax^2+bx+c.

At this point you have three parameters to play with, and from the fact that f(0)=2 we can already fix one of them, in particular c=2. At this point I would recommend picking an easy value for one of the two, let's say a= 1 (or even a=-1, it will just flip everything upside down) and find out b accordingly:f(1)=2 \rightarrow 1^2+b+2=2 \rightarrow b=-1

Our function becomes

f(x) = x^2-x+2

Notice that it works even by switching sign in the first two terms: f(x) = -x^2+x+2

Want something even more creative? Try playing with a cosine tweaking it's amplitude and frequency so that it's period goes to 1 and it's amplitude gets to 2: f(x) = A cos (kx)

Since cosine is bound between -1 and 1, in order to reach the maximum at 2 we need A= 2, and at that point the first condition is guaranteed; using the second to find k we get 2= 2 cos (k1) = cos k = 1 \rightarrow k = 2\pi

f(x) = 2cos(2\pi x)

Or how about a sine wave that oscillates around 2? with a similar reasoning you get

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Sky is the limit.

8 0
3 years ago
Please answer correctly
Phoenix [80]

Answer:

26

Step-by-step explanation:

18 - 2^4 * (-0.5)

Calculate 2 to the power of 4 and get 16.

18−16(−0.5)

Multiply 16 and −0.5 to get −8.

18−(−8)

The opposite of −8 is 8.

18+8

Add 18 and 8 to get 26.

26

8 0
3 years ago
PLEASE HELP!!!!!!!!
Wewaii [24]

Answer:

#1 is -9

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Step-by-step explanation:

-9x3 is -27 then add 10 to that you get -17

5x3 is 15 then subtract 1 and you get 14

5 0
3 years ago
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Bezzdna [24]

Answer:

Remainder= 5, and the binomial (x-1) is not a factor of the given polynomial.

Step-by-step explanation:

Given polynomial is (2x^3-3x^2+6) , we have to divide this with a binomial [tex}(x-1)[/tex] using remainder theorem.

Remainder theorem says if (x-a) is a factor then remiander would be f(a)

Therefore for (x-1), \ {we find}\  f(1)}

f(1)=(2\times 1^3-3\times1^2+6)\\1^3 =1\\1^2=1\\Substituting \ this \ above\\f(1)= (2-3+6)=5

Thus the remainder is 5 and since it is not 0 , so the binomial (x-1) is not a factor of the given polynomial.

6 0
3 years ago
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