Zayed is helping his classmates get ready for their math test by making them identical packages of pencils and calculators.
He has 727272 pencils and 242424 calculators and he must use all of the pencils and calculators.
If Zayed creates the greatest number of identical packages possible, how many pencils will be in each package?

Answer:

c = [tex]\frac{1}{10}[/tex]

f= 1500

Step-by-step explanation:

Tenemos la siguiente ecuación

[tex] C = f+cm[/tex]

Tenemos los siguientes valores para m=15000, c = 3000 y para m = 20000, c=3500. Es decir, tenemos las siguientes ecuaciones

[tex] 3000=f+c15000, 3500=f+c20000[/tex]

Si restamos la segunda ecuación de la primera, tenemos que

[tex] 3500-3000 = f-f+(20000c-15000c)[/tex]

Luego

[tex] 500 = 5000c[/tex]

Entonces [tex] c = \frac{500}{5000} = \frac{1}{10}[/tex]

Si tomamos la primera ecuación, tenemos que [tex]3000-\frac{15000}{10} = f[/tex]. Es decir,

[tex] 3000-1500 = f = 1500[/tex]

Esta solución, al plantear 2 ecuaciones y dos incógnitas, plantea un sistema dos por dos.

Answer:

33.4% of 104 is equal to 34.736

Answer:

7.8025

Step-by-step explanation:

You get the circumfence formula 2 * pi * r

since you are looking for the radius divide 49/2 then the answer you get divide it by pi and then you have your radius

i hope this helped<33

[I'm using 22/7 as pi in this question, for the sake of convenience, since the value of pi to be used isn't given.]

Circumference = [tex]2\pi r[/tex]

49 = 2 x [tex]\frac{22}{7}[/tex] x r

r = 49 x [tex]\frac{7}{44}[/tex]

r = approx. 7.8 yards

Answer:

78

Step-by-step explanation:

The IQR is quartile 3 - quartile 1. First, we need to find the mean of the dataset, which is 50 -- the fifth number. Then, the median of the dataset on the left of the fifth number is the first quartile, and the median of the dataset on the right is the third. We get Q1 to then be halfway between 30 and 50, or 40, and Q3 to be halfway between 56 and n, so Q3 = (56+n)/2. Since we need Q3-Q1=27, or (56+n)/2-40=27, we have (56+n)/2=67 and 56+n=134, so n = 134-56=78

Answer:

I say addition in both since there is + between terms

Hope this helps...

Step-by-step explanation:

Tell me if it's correct

Answer:

Step-by-step explanation:

6.3x103 kg sand x 1x103 g/kg x 1 grain sand/7x10-5 g sand = 9x1010 grains of sand = 90 billion grains of sand.

90 billion grains of sand.

(6.3 x  103kg) (1 x 103g/kg x 1 )

DIVIDED by  7 x 10 - 5 g sand  

= 9 x 1010 grains of sand

Answer:

4x^2+1.5y*2x

Step-by-step explanation:

the area of square equale wide^2

the area of traingle = 1/2 of 3y *hight (2x)

Answer:

4into^2+1.5y*2^

Step-by-step explanation:

Answer:

850

Step-by-step explanation:

We have, 70% × x = 595

or,  

70

100

× x = 595

Multiplying both sides by 100 and dividing both sides by 70,

we have x = 595 ×  

100

70

Answer:

Your answer is 416.5

Step-by-step explanation:

You take your first number 595 and multiply it by .7

There ya go hope it helped

Answer:

D: (18,0)

I got it right on Edge 2020

An equation is formed of two equal expressions. The correct option is D.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the two systems of equations,

y = -(1/3)x + 6

y = (1/3)x - 6

Substitute the value of y from equation one with two, we will get,

-(1/3)x + 6 = (1/3)x - 6

6 + 6 = (1/3)x + (1/3)x

12 = (2/3)x

x = (12×3)/2

x = 18

Substitute the value of x in any one of the equations,

y = (1/3)x - 6

y = (1/3)(18) - 6

y = 0

Hence, the solution of the system of equation is (18, 0).

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Answer: y = (1/2)*x - 1

Step-by-step explanation:

a linear relationship is something like:

y = a*x  + b, lets find the values of a and b.

We have that the output (y) must be 1 less than half of the imput (x), then our relation is:

y = (1/2)*x - 1

Answer:

576-8 hours

-11 hours

Cross multiply

=576×11=6336

6336÷8=792

so 792 miles

Answer:

The ferris wheel travelled 434.717 ft.

Step-by-step explanation:

Assuming that the ferris wheel is a perfect circle, then it's height is the same as the diameter of the circle, therefore it's radius is:

radius = height/2 = 246/2 = 123 ft

The distance travelled by the ferris wheel is the same as the length of the arc created by a angle of (9pi/8). The length of an arc is given by:

length = r*(angle in radians)

length = 123*(9pi/8)

length = 434.717 ft

The ferris wheel travelled 434.717 ft.

Answer:

2/4 3/6 and 4/8

Step-by-step explanation:

Answer:

Last year we had M students.

This year we have N students.

Now, the question ask "by what percentage the number of students grow".

So we are considerating a growth, this means that we must think that M as the 100%.

Then we have that N - M is the difference between the students of last year and this year.

this means that this year we have N - M more students that last year, so the percentage of growth is:

((N - M)/M)*100%

Now you need to replace the values for N and M.

You also can notice that if N is smaller than M, you will have a negative percentage, this means that instead of a growth, we have a decrease in the number of students.

Answer:

-3 is the coefficient of x here

Step-by-step explanation:

The first thing to do here is to open the brackets.

(x-5)(x + 2) = x(x + 2)-5(x + 2)

x^2 + 2x -5x -10

x^2 -3x -10

When we say the coefficient of x, we mean the value by which x only is multiplied by in the equation. That would be -3

This must not be confused with the coefficient of x^2 which is entirely different from the coefficient of x

Answer:

144

Step-by-step explanation:

8x6=48

48 divided by 2=24

24x2=48

4x10=40

8x4=32

4x6=24

add them all together so 48+40+32+24=144

The triangular prism is a 3-d shape, and the total surface area of the triangular prism is 144 cm²

The surface area of a triangular prism is:

Area = bh + (b + s₁ + s₂) * l

The parameters in the triangular prism are:

So, we have:

Area = 8 * 6 + (8 + 10 + 6) * 4

Evaluate the sum of product

Area = 144

Hence, the total surface area of the triangular prism is 144 cm²

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Answer:

Step-by-step explanation:I don't say you have to mark my ans as brainliest but friend if it has really helped you plz don't forget to thank me...

Answer:

One solution: (6, -1)

Step-by-step explanation:

I have attached the work to your problem below.

Please see the attachment.

I hope this helps.

Answer:

6

Step-by-step explanation:

you combine the a2 with 5a2 as they are the only ones with a squared, combine and you get 6a2 + 6a + 7

Answer:

Please refer to attached image for the graph of required circle.

Step-by-step explanation:

The center and radius equation of a circle is :

[tex](x-h)^2 + (y-k)^2 = (r)^2 ...... (1)[/tex]

Where the co-ordinates [tex](x,y)[/tex] from where the circle passes.

[tex](h,k)[/tex] is the co-ordinate of circle's center represented by O.

[tex]r[/tex] is the radius of circle.

Here, we are given that center of circle is at [tex](4,4)[/tex].

So, [tex]h = 4\ and\ k = 4[/tex].

and [tex]r = 3[/tex]

Hence, the equation (1) can be represented as :

[tex]\Rightarrow \left(x-4\right)^{2}+\left(y-4\right)^{2}=3^{2}\\\Rightarrow \left(x-4\right)^{2}+\left(y-4\right)^{2}=9[/tex]

Please refer to the image attached in the answer area for the graph of above equation of circle.

Center of circle is represented by O which is the co-ordinate (4,4).

(7,4) is another point on circle.

The radius of circle is also shown in the graph image attached.

Answer:

2

Step-by-step explanation:

Answer:

2 to the power of 3 or 2^3

Answer: 8

Step-by-step explanation:

•2 large sheets of papers:

i)cuts in half

-left 4pieces.

ii) the cutted one (smaller ones) cutted again 1 time

-left 6pieces.

iii) the cutted one will be cutted again (2nd time.) And so...

-left 8 pieces.

Please let me know if you haven't understand any of the steps...☺

l hope u like it....

Pleeeeeeeeeeeeeeeeease mark me as a brainliestt....❤

Thankyouuuu

Answer:

(4/3) π units²  or  (b):  33.5 units²

Step-by-step explanation:

The area of a sector of a circle of radius r and central angle Ф is a fraction of the total area of the circle:  (Ф/[2π]) * πr².

Here we find the area of the circle to be A = π (8 units)².

                                                    60

Multiply that by the fraction  ------------- , or 1/6

                                                    360

We get:  (1/6) (π (8 units)² = (4/3) π units², or approximately 33.5 units²

Answer:

(6,1)

Step-by-step explanation:

Just look for the terms with x and y in them. Divide their coefficients by two, and multiply by -1. And then put them in an ordered pair.

So in this case, -12x --> 6 and -2y --> 1

Obviously the more orthodox way would be to actually complete the square, but I'm lazy, this way is faster, and since this seems to be multiple choice, as long as you have the correct answer, it shouldn't matter.

The required centre will be at (6,1)

The standard equation of circle is expressed as:

x^2+y^2+2gx+2fy+c = 0

where (-g, -f) is the centre of the circle

Given the equation x^2 + y^2 – 12x – 2y + 12 = 0

Compare with the general to have;

2gx = -12x

g = -6

2fy = -2y

y = -1

Since centre is at (-g, -f), hence the required centre will be at (6,1)

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Answer:  The height is 15 cm.

Step-by-step explanation:

We have to know the can is in a shape like a cylinder so  we will use the volume of a cylinder formula to find the height.Which is  πr^2*h

We have to know  8 is the diameter so the the radius is 4.

3.14 * 4^2 * h = 753.6

3.14 * 16 * h = 753.6

50.24 * h = 753.6

Divide 753.6 by 50.24 to find the height

The height is 15.

Answer:

[tex]

p^2 - 5p + 4[/tex]

[tex]4p^2 - 9p + 11[/tex]

-⠀⠀⠀+⠀⠀-

[tex]-3p^2 + 4p -7[/tex]

Answer:

Step-by-step explanation:

Let x represent the distance between Earth and its moons.

Saturn’s rings span up to about (7.5 × 10^-1) of the distance between the Earth and its moons. It means that Saturn’s rings span is

(7.5 × 10^-1)x

If Saturn’s rings span up to 2.82 × 10^5 kilometers, it means that

(7.5 × 10^-1)x = 2.82 × 10^5

Dividing both sides of the equation by 7.5 · 10^-1, it becomes

x = (2.82 × 10^5)/(7.5 × 10^-1)

x = 3.76 · 10^5 km

Answer:

It 2/5.

Step-by-step explanation:

Just did the question :)

The experimental probability of flipping a head after five flips of a coin can be calculated by finding the ratio of the number of times a head appears to the total number of flips.

In this case, since there are two possible outcomes - a head or a tail - the total number of flips is five. Let's say, after five flips, a head appears three times. The experimental probability of flipping a head would be calculated as 3 (number of heads) divided by 5 (total number of flips), which equals 0.6.  

Therefore, the experimental probability of flipping a head after five flips of the coin is [tex]0.6, or 60[/tex] %. It is important to note that the experimental probability may not accurately represent the theoretical probability, as it is based on a limited number of trials. The theoretical probability of flipping a head is 1/2, which is [tex]0.5 or 50[/tex]%.

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