Mrs. Deery has 6 large pieces of construction paper for an art project. She has 24 students in her class. What fraction of the paper will each student receive if it is divided into equal parts?

Answer:

(a) [tex]p = 0.43d[/tex]

(b) [tex]p = 21.5[/tex]

(c) [tex]d = 151.163[/tex]

Step-by-step explanation:

Given

Variation: Direct

Represent ear pressure with p and depth with d.

So, we have:

[tex]p\ \alpha\ d[/tex]

[tex]d =10[/tex] when [tex]p =4.3[/tex]

Solving (a): Write a variation

We have:

[tex]p\ \alpha\ d[/tex]

Write as an equation

[tex]p = kd[/tex]

Where: k is the constant of variation

[tex]d =10[/tex] when [tex]p =4.3[/tex]

So, we have:

[tex]4.3 = k * 10[/tex]

Make k the subject

[tex]k = \frac{4.3}{10}[/tex]

[tex]k = 0.43[/tex]

Substitute 0.43 for k in [tex]p = kd[/tex]

[tex]p = 0.43d[/tex]

Solving (b): Pressure at 50 feet

Substitute 50 for d in [tex]p = 0.43d[/tex]

[tex]p = 0.43 * 50[/tex]

[tex]p = 21.5[/tex]

The pressure is 21.5 pounds per square

Solving (c): The safe depth

The safe depth stops at a pressure of 65psi.

Substitute 65 for p in [tex]p = 0.43d[/tex]

[tex]65 = 0.43 * d[/tex]

Make d the subject

[tex]d = \frac{65}{0.43}[/tex]

[tex]d = 151.162790698[/tex]

[tex]d = 151.163[/tex] -- approximated

The safe distance for an amateur is 151.163ft

Answer:

000000000

Step-by-step explanation:

Answer:

In geometry, an angle can be defined as the figure formed by two rays meeting at a common end point. An angle is represented by the symbol ∠. ... Angles are measured in degrees, using a protractor.

Step-by-step explanation:

hurray

Answer:

Step-by-step explanation:

If quadrilateral is rhombus, then m∠2 = 60°

Answer:

C

Step-by-step explanation:

When looking at the total cost of x pounds of something when the cost is per pound, you multiply the two numbers. Because y is the total cost, you want that as the answer that you are looking for, so it will be by itself when looking at the two sides of the equation. This means that answer c is the only one correct. A/B cannot be unless you were looking for the number of pounds, and you were dividing y (total cost) by 2.19 (cost per pound). D does not work because you are just adding how many pounds you have to the cost per pound.

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In the images is the graph of the line that passes through points A (3,2) and B (2, -1)

Also the equation of the line is y = 3x-7

Use two different applications Geogebra and Desmos

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En las imágenes está la gráfica de la recta que pasa por los puntos A(3,2) y B(2,-1)

Además, la ecuación de esa recta es y=3x-7

Use dos aplicaciones distintas Geogebra y Desmos

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Answer:

360 minutes or In 6 hours.

Step-by-step explanation:

Answer:

x>22

Step-by-step explanation:

hope this helps

Answer:

y - 4 = (1/3)(x - 9)  or x - 3y = -3

Step-by-step explanation:

Here we're told that the slope is 1/3 and that (9, 4) is a point on the line.  Use the point-slope formula  y - k = m(x - h).  Substitute 4 for k, 9 for h and 1/3 for m:

y - 4 = (1/3)(x - 9)  (point-slope formula)

3y - 12 = x - 9  (standard form of the same equation) = >

     -12 + 9 = x - 3y, or x - 3y = -3 (standard form)

Answer:

8x²

Step-by-step explanation:

Whenever it's multiplication, you would count how many x's there are and raise the x to the power of the number of x's.

The multiplication of 8x and x is 8x^2.

When we have to do multiplication,

We have given 8x and x.

Multiplication is defined as calculating the result of repeated additions of two numbers.

you would count how many x's there are and

Raise the x to the power of the number of x's.

and that is

[tex]=8\times x\times x[/tex]

There are two x therefore we have

[tex]=8x^2[/tex]

Therefore the multiplication of 8x and x is 8x^2.

To learn more about the multiplication visit:

https://brainly.com/question/10873737

9514 1404 393

Answer:

  8, 13

Step-by-step explanation:

The given relationships can be put into two equations. Let x and y represent the numbers.

  x + y = 21 . . . . . their sum is 21

  y = 4x -19 . . . . .one is 19 less than 4 times the other

__

Substituting for y in the first equation, we get ...

  x + (4x -19) = 21

  5x = 40 . . . . . . . . . add 19

  x = 8 . . . . . . . . . . . divide by 5

  y = 4(8) -19 = 13

The two numbers are 8 and 13.

Answer:

1st triangle and 4th triangle

Answer:

3 shirts and 6 skirts

Step-by-step explanation:

lets call number of shirts x and number of skirts y

so x+y=9

17x+22y=168

multiplying the first equation by 17 we get

17x+17y=153

17x+22y=168

subtracting we get

5x= 15

x=3

and we know x+y=9 so y=6

so 3 shirts and 6 skirts

if my answer helps please mark as brainliest.

Answer:

18 dollars

Step-by-step explanation:

63 divied by 14 = 4.5 x 4 = 18

Answer:

18

Step-by-step explanation:

to be 18 7 bitween one is the complet the neme of soit and can be instracttion

Answer:

d

Step-by-step explanation:

y+5=-2/7(x-4)

Answer:

20.25

Step-by-step explanation:

Divide 13.50 by 2 and then multiply by 3.

Answer:

Fraction = [tex]\dfrac{3}{20}[/tex]

Step-by-step explanation:

Given that,

A model of the ocean floor takes up 2/5 of the space in an aquarium.

3/8 of the model is coral.

We need to find the fraction of the space in an aquarium is taken up by coral. So, it can be done as follows :

[tex]x=\dfrac{3}{8}\times \dfrac{2}{5}\\\\x=\dfrac{3}{20}[/tex]

So, the fraction of space taken by coral is [tex]\dfrac{3}{20}[/tex] in an aquarium.

Answer:

NO PICTURE

Step-by-step explanation:

Answer:

27455

Step-by-step explanation:

32300per of 85

is 27455

Answer:

Step-by-step explanation:

a). Stock price arranged as arithmetic sequence will be,

   5, 8, 11, 14

b). Since, explicit formula of an arithmetic sequence is given by,

   [tex]a_n=a+(n-1)d[/tex]

   Here, [tex]T_n[/tex] = nth term of the sequence

   a = first term

   n = number of term

   d = common difference

   From the table attached,

   First term of the sequence 'a' = 5

   Common difference 'd' = 8 - 5 = 3

   Therefore, explicit formula for the given sequence will be,

   [tex]a_n=5+3(n-1)[/tex]

   [tex]a_n=2+3n[/tex]

c). Slope intercept form of the equation will be,

   y = 3x + 2  

d). Input out values for the graph of the given equation,

   x          0           1          2          3

   y          2           5         8          11

   By using this data we can graph the line.    

Answer:

Step-by-step explanation:

The two main considerations that you should take into account would be each employee's wage and the number of tables that they can handle simultaneously and efficiently. This would allow you to create a simulation in order to determine if adding an extra waitress would be the best option. Adding an extra waitress would be a worthwhile decision if it divides the workload evenly so that all the waitresses have sufficient tables to handle while also not being too much, and if the extra labor is bringing in more money than it costs.

Let's divide:

4.8 ÷ 2 = 2.4

Another option:

Shift the decimal point one space for both:

4.8  →  48

2.0  →  20

Now we can divide easily:

48 ÷ 20 = 2.4

It will give the same result.

‎      ‏‏‎

Answer:

عربيععربيعربيع   ربيعربيعربيعربي

Step-by-step explanation:

Answer:

Five sixths of a yard is 30 inches

Step-by-step explanation: