Suppose there are 19 students in the class a teacher at 122 pencils and passes them out to the class estimate the number of pencils in each student will receive

The constant of proportionality is 4, while the equation is given as y = 4x.

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.

Let x represent number of mines and y represent the number of gems. Since this is a proportional relationship, hence:

y = kx; where k is the constant of proportionality

From the table when y = 4, x = 1, hence:

4 = k(1)

k = 4

y = 4x

The constant of proportionality is 4, while the equation is given as y = 4x.

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The cost per passenger for quiescent (no wind) conditions is $252.33.

It should be noted that based on the information given, the cost function that was illustrated in the question is:

C(x) = 175 + x/25 + 32000/x

In this case, it should be noted that the airplane crosses the Atlantic Ocean with an airspeed of 600 miles per hour.

Therefore, the cost per passenger for quiescent conditions will be:

C(x) = 175 + x/25 + 32000/x

where x = 600

C(x) = 175 + x/25 + 32000/x

C(x) = 175 + 600/25 + 32000/600

C(x) = 175 + 24 + 53.33

C = $252.33

Therefore, the cost per passenger for quiescent (no wind) conditions is $252.33

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Answer:

3

Step-by-step explanation:

Answer:

first one i just don't find that sign of math in my computer but yeah

Step-by-step explanation:

HAPPY HOLIDAYS :)

Answer:

[tex]\frac{x}{y} \frac{5x}{\frac{x^{2} -4}{\frac{8x}{x+2} } }\\\\=\frac{5x(x+2)}{8x(x^{2} -4)}\\\\=\frac{5(x+2)}{8(x+2)(x-2)}\\\\=\frac{5}{8(x-2)}\\\\=\frac{5}{8}.\frac{1}{x-2}[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ \frac{5x}{ {x}^{2} - 4 } }{ \frac{8x}{x + 2} } = \frac{5x}{ {x}^{2} - 4 } \times \frac{x + 2}{8x} = \frac{5x + 10}{ {8x}^{2} - 32} \\ [/tex]

hope it helps:)

Answer:

Option C

Step-by-step explanation:

According to the graph, the lines that represent the system intercept, or cross, at point (-1, 0).

This means that the point would be the solution to the system of equations.

Hope this helps.  

Answer:

2812+1845

=4657

step 2

=8500-4657

=3843

he must sell 3843 books in the next 2 months

Answer:

Step-by-step explanation:

Given the expression;

19/258 = 21/x

We are to find the unknown value x;

Cross multiply;

19 * x = 258 * 21

19x = 5418

Divide both sides by 19;

19x/19 = 5418/19

x = 285.15

Hence the unknown value is 285.15

To find the answer, all we need to do is plug in the slope and point they gave us into the Point Slope Formula!

The point slope formula is ...

[tex]y - y_{1} = m ( x - x_{1} )[/tex]

So lets put them in!

y - 4    =    2/3     (x - (-3))

Tip: remember when you subtract a negative number, it turns into adding !

So our final answer is probably D (I think you may have put a typo)

[tex]y - 4 = \frac{2}{3} (x + 3)[/tex]

Answer:

f(x)g(x) = 2x² - 6x

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x

g(x) = x - 3

Step 2: Find f(x)g(x)

Answer:

x² + 24x + 84

Step-by-step explanation:

4 * (x+3)(x+3) - 3 * (x+4)(x-4)

4(x²+6x+9) - 3(x²-16)

4x² + 24x + 36 - 3x² + 48

x² + 24x - 84

Answer:

41/30

Step-by-step explanation:

A. The equation for x is c - b/a

B. x = 4

x = 10

Given the equation;

ax + b  = c

Let's make 'x' the subject of formula by expressing it in terms of other variables

We have;

ax = c - b

Divide both sides by the coefficient of 'x'

ax/a = c - b/ a

x = c - b/a

B. 3x + 7 = 19

Let's solve for x

3x = 19 - 7

3x = 12

Make 'x' the subject

x = 12/ 3

x = 4

1/2x  = 5

cross multiply

x = 5 × 2

x = 10

Thus, the equation for x is c - b/a

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The value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y

The given parameters are

New value = £16,500

Rate of decrease = x%

Let the initial value of the Sally's caravan be represented by y

So, we have the following equation

Initial value  * (1 - Rate of decrease) = New Value

This gives

y * (1 - x%) = 16,500

Divide both sides of the equation by y

So, we have

1 - x% = 16500/y

This gives

x% = 1 - 16500/y

Multiply through by 100

x = 100 - 1650000/y

Hence, the value of x is 100 - 1650000/y where the initial value of the Sally's caravan be represented by y

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Answer: No

Step-by-step explanation:

Because 52/1 is just plain 52

But 1/52 is one thing out of 52 of them.

So 52/1 is just the number 52 versus 1/52 is one of fifty-two.

Answer:

Yes, 1/52 is the same as 52/1 because 52/1 is the inversed fraction of 1/52. Inversed fractions is a fraction with the denominator and numerator swapped.

Step-by-step explanation:

Hope this helped and please tell me if I'm incorrect :)

Answer:

The answer is C.

Step-by-step explanation:

Hope this helps!

Answer:

baila como juana la cubana

Step-by-step explanation:

Answer:

Bella can sell 13.78 glasses with 9 pieces of bling.

Step-by-step explanation:

Given the function

y=1.36x+1.54

Given that the number of pieces of bling = x = 9

Thus,

[tex]y = 1.36x+1.54[/tex]

 [tex]= 1.36(9)+1.54[/tex]

 [tex]=12.24+1.54[/tex]

 [tex]=13.78[/tex]

Thus, Bella can sell 13.78 glasses with 9 pieces of bling.

Answer:

it would 4,446.41

Step-by-step explanation:

The intervals over which the function is increasing are -

x ∈ (- ∞, - 2.5) and  x ∈ (0.5, ∞). We can write it as one single set (S) as -

S = (- ∞, - 2.5) ∪ (0.5, ∞).

The interval in which the y - coordinate of the points gets larger, or the graph gets higher as it moves from left to right over the interval is called increasing interval. Similarly, the interval in which the y - coordinate of the points gets smaller or the graph gets lower as it moves from left to right over the interval is called decreasing interval.

Given is the following function f(x) -

f(x) = x³ + 3x² - 4x - 12

First, we will plot the graph of this function. The graph is attached with the answer. On the graph, there are two black dots. From the definition of increasing functions, we know that the interval along which the y - coordinate gets larger is called increasing interval of the function. The first interval over which the function is increasing is-  x ∈ (- ∞, - 2.5). The second interval over which the function is increasing is- x ∈ (0.5, ∞).

Therefore, the intervals over which the function is increasing are -

x ∈ (- ∞, - 2.5) and  x ∈ (0.5, ∞). We can write it as one single set (S) as -

S = (- ∞, - 2.5) ∪ (0.5, ∞).

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Answer:

ok

Step-by-step explanation:

Answer: huh

Step-by-step explanation:

The kinetic energy of hammer is 25 m/s.

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity.

given that

the mass of the hammer is 0.50 kg.

The velocity of the hammer is 10 m/s.

now find the kinetic energy of the hammer.

[tex]kinetic \: energy = \frac{1}{2}m {v}^{2} [/tex]

[tex]kinetic \: energy = \frac{1}{2} \times 0.50 \times {10}^{2} [/tex]

kinetic energy = 0.25 X 100

kinetic energy = 25 m/s.

Hence, the kinetic energy of hammer is 25 m/s.

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Answer:

there you go took me a second but I got it

Answer:

-6/5x + 3/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Move all terms that don't contain  y  to the right side and solve.y

y= − 3+ 6 x

     5   5

Answer:

slope = 2

Step-by-step explanation:

work is in the picture if you need it... please mark brainiest

Answer:

$22.50

Step-by-step explanation: