The phone company B-Mobile has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a certain amount per GB of data used. If a customer uses 8 GB, the monthly cost will be $48. If the customer uses 38 GB, the monthly cost will be $108. A) Find an equation in the form y = m x + b , where x is the number of GB of data used in a month and y is the total monthly cost of the B-Mobile plan.

y = __________

B) Use your equation to find the total monthly cost if 18 GB are used.

Answer: If 18 GB are used, the total cost will be _______ dollars

Answer:

191.016 in²

Step-by-step explanation:

Let the volume of the cube be V = lwh where l = length of box, w = width of box and h = height of box.

Now l = 3w.

So, V = lwh = (3w)wh = 3w²h

h = V/3w²

Since the rectangular box is open at the top, its total surface area is A = lw + 2lh + 2wh

substituting l = 3w, we have

= (3w)w + 2h(l + w)

= 3w + 2h(3w + w)

= 3w² + 2h(4w)

= 3w² + 8wh

substituting h = V/3w²

= 3w² + 8w(V/3w²)

A = 3w² + 8V/3w

Differentiating A with respect to w and equating it to zero, we have

dA/dw = d[3w² + 8V/3w]dw

dA/dw = d3w²/dw + d(8V/3w)/dw

dA/dw = 6w - 8V/3w²

dA/dw = 0

6w - 8V/3w² = 0

6w = 8V/3w²

6w³ = 8V/3

w³ = 8V/(3 × 6)

w³ = 4V/9

w = ∛(4V/9)

substituting V = 220 in³, we find the minimum value for the width

w = ∛(4 × 220 in³/9)

w = ∛97.7778

w = 4.607 in

To determine if this is a minimum value of width which gives minimum area, we take the second derivative of A. So,

d²A/dw² = d(6w - 8V/3w²)/dw

= 6 + 16V/3w³

substituting w³ = 4V/9, we have

d²A/dw² = 6 + 16V/3(4V/9)

= 6 + (16 × 9)/(3 × 4)

= 6 + 4 × 3

= 6 + 12

= 18

Since d²A/dw² = 18 > 0 , w = ∛(4V/9) = 4.607 in gives a minimum for the surface area.

So, we calculate this area by substituting w = 4.608 in. So,

A = 3w² + 8V/3w

= 3 × (4.607 in)² + (8 × 220 in³)/(3 × 4.607 in)

= 63.6733 in² + 1,760 in³/13.821 in

= 63.6733 in² + 127.3424 in²

= 191.0157 in²

≅ 191.016 in² to three decimal places.

Answer:

k = -5

Step-by-step explanation:

The variable is k

9k + 1 = -9 + 7k

-7k        -1

2k = -10

2k/2  -10/2

k = -5

:)

Answer:

1.5 miles

Step-by-step explanation:

Answer:

7x3=21 ... i think

Step-by-step explanation:

the factor of 35 is 1,5,7 and 35 but 7 is the largest prime number like the factors of 15 is 1,3,5 and 15 but 3 is the smallest prime number according to the question the answer is 7x3+21

Answer:

5,10

Step-by-step explanation:

10 is 5 more than 5 therefore

5+10=15

Answer:

5,2,2,2,2,2

Step-by-step explanation:

2+2+2+2+2=10

10+5=15

Answer: 28 percent i believe

Step-by-step explanation:

Answer:

brandoncardona2007

Step-by-step explanation:

They are always right no matter what

Answer: i think this is romanian? so here is the answer in romanian

Pur și simplu, cel mai mare factor comun al lui a și b atunci când este înmulțit cu cel mai mic comun al lui a și b este egal cu produsul lui a și b ....

Puteți determina LCM de 12 și 16 folosind două metode

Step-by-step explanation:

Answer:

4^5

Step-by-step explanation:

8×4³+2×4⁴

4×2×4^3+2×4^4

4^4×2+2×4^4

4^4(2+2)

4^4×4

4^5

So answer is 4^5

Step-by-step explanation:

here = means the similar triangle plz don't confuse. And 1. is proved by SSS axiom or SAS axiom and 2. is proved through SAS axiom will be much more better.

Answer:

1. ∆STU- 75

2. ∆WVU-55

3. 65+ 50 =115 -180= 65

Answer:

Step-by-step explanation:

assume the equation is (7x-4)/y=10

10y= 7x-4 didvide both sides by 10

y= (7/10)*x - (2/5)

m=7/10

b=-2/5

The equation for 7x - 4/y =10 in the form y = mx + b . The equation in the form

[tex]\(y = mx + b\) is: \[y = \frac{4}{7x - 10}\][/tex]

To rewrite the equation in the form  we need to  [tex]\(y = mx + b\),[/tex]  isolate the term involving y on one side of the equation. Here's the step-by-step process:

Step 1: Add  [tex]\(\frac{4}{y}\)[/tex]  to both sides of the equation to isolate the 7x term on the left side:

[tex]\[7x = 10 + \frac{4}{y}\][/tex]

Step 2: Get rid of the fraction by multiplying both sides of the equation by y:

[tex]\[7xy = 10y + 4\][/tex]

Step 3: Now, we want to express  y alone on one side. To do this, subtract 10y  from both sides:

[tex]\[7xy = 10y + 4\][/tex]

Step 4: Factor out y on the left side:

[tex]\[y(7x - 10) = 4\][/tex]

Step 5: Finally, divide both sides by to solve for  [tex]\((7x - 10)\)[/tex]

[tex]\[y = \frac{4}{7x - 10}\][/tex]

Now, the equation is in the form where [tex]\(y = mx + b\), \(m\)[/tex] is the coefficient of x and b is the constant term. In this case,[tex]\(m = \frac{4}{7x - 10}\) and \(b\)[/tex]  is equal to 0.

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Answer:

-8x+14 ≥ 60

Inequality Form:

x< -23/4

Interval Notation:

(−∞,−23/4)

Answer:

78/16=

39/8=

19.5/4= 4.80805

16 is 20.51% of the number 78.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let x percent of 78 is 16.

So, x% of 78 = 16

x/100 (78)= 16

78x = 1600

x= 1600/78

x = 20.51%

Hence, 20.51 percent of 78 is 16.

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 [tex]\boldsymbol{4}[/tex] employees were hired by the company.

Amount of total budget [tex]=\$1,900[/tex]

Amount paid to an employee per hour [tex]=\$11[/tex]

Number of hours for which an employee worked per week [tex]=40[/tex]

So,

Total amount paid to an employee [tex]=11\times 40[/tex]

                                                          [tex]=\$440[/tex]

Number of employees hired [tex]=4.3[/tex]

                                               [tex]\approx 4[/tex]

So, [tex]\boldsymbol{4}[/tex] employees were hired by the company.

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Ignoring overhead, you can hire 4 employees.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

You have a budget of $1,900 per week for employees.

Employees are paid $11 per hour and work 40 hours per week.

That means,

11 x 40 = $440 per week.

The number of employees = 1900/440

= 4.3

≈ 4

Therefore, 4 number of employees.

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Answer:

2 1/3, 2 1/4, 2 3/7

Step-by-step explanation:

Mixed Fractions

Mixed fractions are made of an integer part followed by a proper fraction.

Some examples of mixed fractions are:

3 1/2, -4 5/8, 2 2/3

Between two consecutive integers a and a+1, there are infinitely many fractions. The centered number is a 1/2. Any number with its improper fraction part less than 1/2 is closer to a than to a+1.

In our problem, Jayne bought between 2 and 3 pounds of granola. We need to provide a mixed number that is closer to 2 pounds than to 3 pounds.

We can select any number with integer part 2 and a proper fraction less than 1/2.

Examples could be :

2 1/3, 2 1/4, 2 3/7

All of them are less than 2.5

Answer:

b

Step-by-step explanation:

2*22 = 44

44-25 = 19

Answer:

Below.

Step-by-step explanation:

There will be more carbon in the atmosphere.

There is less carbon in storage.

Answer:

1. There is more carbon in the atmosphere.

2. There is more available space for carbon to become fossil fuels.

Step-by-step explanation:

When plants and animals die, their bodies, wood and leaves decays bringing the carbon into the ground. Some is buried and will become fossil fuels in millions and millions of years. Each year, five and a half billion tons of carbon is released by burning fossil fuels. Of this massive amount, 3.3 billion tons stays in the atmosphere. When fossil fuels are burned, they release nitrogen oxides into the atmosphere, which contribute to the formation of smog and acid rain.

Answer:

domain is x is an element of all real numbers, or {xer}, and the range is {3.5}

Step-by-step explanation:

since x stretches the whole way it is all real numbers, and y only touches one point on the graph so it has to be a single point

Answer:

$60

Step-by-step explanation:

just is

Answer:

r =1

Step-by-step explanation:

The radius of unit circle is 1

Answer:

1

Step-by-step explanation:

Answer:

75 degrees

Step-by-step explanation:

Isosceles triangle with 3rd angle being 30 degrees:

2x + 30 = 180

2x = 150

X = 75

Answer:

he raked 10 bags each hour

30/3 = 10

Answer: Choice A)  All points with an x-value of 3 are located in Quadrant I.

We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.

We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.

The false statement:

All points with an x-value of 3 are located in Quadrant I.

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

From the given choices:

Let the statement is true.

All points with an x-value of 3 are located in Quadrant I.

Let the coordinate point (3, -7)

This point lies in the fourth quadrant.

Which is contradiction.

Therefore, the statement is false.

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Answer:D• subtraction property of equality

Step-by-step explanation:subtract 3/4  on both sides?????

ight what do i gotta answer tho

Answer:

no

Step-by-step explanation:

Answer:

Yes, if you are referring to proportionality in general. No if you are referring to a direct proportionality.

Step-by-step explanation:

y = -2x is negatively proportional so it is not directly proportional because y or one quantity decreases when x or another quantity increases. In a directly proportional relationship, as one quantity increases another quantity must increase at the same rate, in other words both must increase thus be positive. When something is proportional it has a constant ratio, and relation.

Direct proportionality or variation is represented by y ∝ x, where ∝ is the symbol used to represent proportionality.

y = kx where k is the constant of proportionality.

Where k = y/x.

Answer:

x=35

Step-by-step explanation:

70+75is 145

and a triangle is equal to 180 degrees

so 180-145 gives you 35 :)