Under his cell phone plan, Nathaniel pays a flat cost of $41 per month and $4 per gigabyte. He wants to keep his bill at $45.80 per month. Write and solve an equation which can be used to determine 2, the number of gigabytes of data Nathaniel can use while staying within his budget.

Answers

Answer 1

Answer:

equation: 41+4x=45.80

answer: x=1.20

Step-by-step explanation:

Answer 2

The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Let's denote the number of gigabytes of data Nathaniel can use as x.

Then the equation representing his cell phone bill can be set up as:

Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)

$45.80 = $41 + ($4 × x)

Now, we can solve for x:

$4 × x = $45.80 - $41

$4 × x = $4.80

x = $4.80 / $4

x = 1.2

So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

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Related Questions

True or False: Collection on account and sale of services for cash are considered cash inflows, while payment on account and payment of salaries are considered cash outflows from operating activities.

Answers

Answer:

true

Step-by-step explanation:

make this is helpful for you

Solve 2x^2 - x ≥ -5. Show your work.

Answers

Answer:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]

Step-by-step explanation:

Rewrite into standard form:

[tex]2x^{2} -x+5 \geq 0[/tex]

Complete the square:

[tex]2(x-\frac{1}{4} )^{2} + \frac{39}{8} \geq 0[/tex]

Subtract [tex]\frac{39}{8}[/tex] from both sides:

[tex]2(x-\frac{1}{4})^{2} \geq \frac{-39}{8}[/tex]

Divide both sides by 2:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{\frac{8}{2}}[/tex]

Simplify:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]

To make his energy drink, Jerome used 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix?

Answers

Answer:

I believe the answer is 3:11.

Isolate the variable to solve 4x + 4 > –20. Which number line shows the solution set?
HURRY!!!! I'LL GIVE YOU BRAINEIST!!

Answers

Answer:

B save your time its the same answer

Step-by-step explanation:

Good Luck!

In right triangle ABC, m∠B ≠ m∠C. Let sin B = r and cos B = s. What is sin C – cos C?

Answers

Answer:   s - r

==================================================

Explanation:

We'll need these trig ratios

sine = opposite/hypotenusecosine = adjacent/hypotenuse

Refer to the diagram below.

sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.

cos(B) = s = s/1 means the adjacent side to angle B is of length s

sides r and s are the two legs of the right triangle.

----------

From that diagram, we can then say:

sin(angle) = opposite/hypotenuse

sin(C) = s/1

sin(C) = s

This is identical to cos(B). We can say cos(B) = sin(C)

Also, we can say:

cos(angle) = adjacent/hypotenuse

cos(C) = r/1

cos(C) = r

So cos(C) = sin(B)

This works because B+C = 90

----------

So,

sin(C) - cos(C) = cos(B) - sin(B) = s - r

A lecture hall has 50 seats. 43 seats are occupied and 7 seats are empty. Use this information to answer the questions below. CLEAR CHECK What fraction shows the proportion of empty seats? 7 50 What percent of seats were empty? %

Answers

Answer:

14% of the seats are empty

Step-by-step explanation:

7/50 = ?/100

50×2=100

so 7×2=?

?=14

14/100=14%

The percent of seats that are empty in the hall of 50 seats with 43 being occupied is; 14%

How to work with percentages?

We are given;

Total number of seats in hall = 50

Number of occupied seats = 43

Number of empty seats = 7

Now, we want to find the percent of seats were empty.

This is gotten by;

% of empty seats = (number of empty seats/total number of seast) * 100%

% of empty seats = (7/50) * 100%

% of empty seats = 14%

Read morer about Percentages at; https://brainly.com/question/843074

Use the fraction model to multiply: two multiplied by four sixths. Leave your answer as an improper fraction.

two fraction models, each model is partitioned into six equal parts, with four parts shaded in each model
Question 1 options:

six eighths

six twelfths

eight sixths

eight twelfths

Answers

Answer:

2 b is you answer

Step-by-step explanation:

What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9 ( add 9 to both sides )

- 1 < x , therefore

x > - 1

Answer:

x > -1

Step-by-step explanation:

why:

-10  < x-9         for exemple 2< 3

x-9  > -10                 3 > 2      

just add 9 to both sides

x-9 +9 > -10 +9

x > -1

meth2

x-9  > -10  

x > -10 +9       left  to right

x> -1

michelle drove 325 miles in 5 hours. if she traveled at a steady speed, how far did she drive per hour?

Answers

Answer:

65 miles per hour.

Step-by-step explanation:

You can divide 325 by 5 to get how many miles she drove per hour :)

Answer:

65mph

Step-by-step explanation:

Divide 325 by 5 to get your answer.

The formula for speed is speed=Distance/Time

So take the total distance, and divide it by the time

Write the phrase "Five subtracted from three times any number" as an algebraic expression

Answers

Answer: 3x-5

Step-by-step explanation:

Five subtracted from three times any number can be represented as 3x-5.

Which translation rule describes the translation that is 2 units to the left and 8 units down?

(x, y) + (x + 2, y - 8)

(x,y) → (x - 2, y - 8)

(x,y) → (x - 2, y + 8)

(x,y) → (x + 2, y + 8)

Answers

Answer: (x,y) → (x - 2, y - 8)

Step-by-step explanation:

Two units to the left would mean decreasing value on the x-axis, making it -2.

Eight units down would, again, mean decreasing value on the y-axis, making it -8.

Therefore, (x,y) → (x - 2, y - 8) is the correct translation rule.

I hope this helps :)

I get it, Geometry can be pretty difficult sometimes... I'm in it right now lol

is h(x) = 6 a linear function and why

Answers

Answer:

yes, absolutely. specifically it's a horizontal line at 6.

will brainliest math is killing me mentally please answer and end my suffering.​

Answers

Answer:

LOL the struggle is real

If Angle CAB is 49 degrees, what is the measure of Angle ABD? *

Answers

Answer:

49 degree

Step-by-step explanation:

Question in picture!!

Answers

Step-by-step explanation:

A. 4+(x-y)

B. 6+xy

C.( x.x.).y

hope it helps.

stay safe healthy and happy.

Answer:

A. 4+(X•Y)

B. 6×xy

C. (X•X)y

what is the answer to -g + 2 (3 + g ) = -4 (g+ 1 )

Answers

Answer:

0

Step-by-step explanation:

........

Answer:

g=-10

Step-by-step explanation:

-g+2(3+g) = -4

-g+6+2g=-4

g=-4-6

g=-10

An online website rates restaurants that serve hamburgers on a scale from 0 to 10. The graph below shows the ratings of all the restaurants on the website and the costs of hamburgers at those restaurants.

Answers

Where’s the graph ?

Solve the equation for x: 2^3 square root 3x+2 = ^3 square root 4x-9
A) x=-5/4
B) x= -13/2
C) x=25/28
D) x=-7/20

Answers

The value of x = -5/2

To solve this question we must understand the concept of indices.

What are Indices?

Indices in mathematics show the power to which an expression or variable is raised.

Here, the correct format of the equation given in the question as follows:

[tex]\mathbf{2 \sqrt[3]{3x +2}} \mathbf{= \sqrt[3]{4x -9} }[/tex]

[tex]2(3x+2)^{1/3} = (4x -9)^{1/3} \\ \\ (6x + 4)^{1/3} =(4x -9)^{1/3}[/tex]

Multiply the power of both sides by 3

(6x + 4) =(4x -9)

6x - 4x = -9 + 4      

2x = -5

x = -5/2

Learn more about indices here:

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Paolo is using his grandmother’s cookie recipe. He always doubles the amount of chocolate chips and oats. The recipe calls for 212 cups of chocolate chips. The total amount of chips and oats after doubling is 613 cups.

Write an equation to find the original amount of oats, x, in the recipe.

Answers

Answer:

y = 94.5 cups

Step-by-step explanation:

Let's say:

y = oatsx = chocolate chips = 212

=> Full Recipe = 212 + y

=> 2(Full Recipe) = 2(212 + y) = 613 cups

=> 2(Full Recipe) = 424 + 2y = 613 cups

=> 2y = 613 - 424

=> 2y = 189

=> y = 94.5

Therefore, the required oats to do double the recipe is 94.5 cups.

Hoped this helped.

[tex]GeniusUser[/tex]

Function: y=x^2−4x−12
Factored Form: y=(x+_) (x-_)
x -Intercepts: (_,_) and (_,_) Type answers smallest to largest left to right.
Axis of Symmetry: x=
Vertex:
Domain:
Range: y≥

Answers

Answer:

Below in bold.

Step-by-step explanation:

y=x^2−4x−12

Factored form: y = (x - 6)(x + 2)

x-intercepts: (-2, 0) and (6, 0).

Axis of symmetry is found by converting to vertex form:

y = x^2−4x−12

y = (x - 2)^2 - 4 - 12

y = (x - 2)^2 - 16.

So axis of symmetry is x = 2.

Vertex is at (2, -16)

Domain is all Real Numbers.

Range is y ≥ -16.

PLEASE HELP !! Find the value of x in the triangle shown below. x=?

Answers

Answer:

x+44+29=180

x+73=180

x=180-73

x=107

Answer: x+44+29=180

x+73=180

x=180-73

x=107

Step-by-step explanation:

The difference of 2 times a number and 3/4 is 1/2​

Answers

2x-3/4=1/2

The answer is X=5/8

Need help ASAP! Directions in picture ;)

Answers

Answer:

Simplifying

X + 59 + 84 + X + 51 = 180

Reorder the terms:

59 + 84 + 51 + X + X = 180

Combine like terms: 59 + 84 = 143

143 + 51 + X + X = 180

Combine like terms: 143 + 51 = 194

194 + X + X = 180

Combine like terms: X + X = 2X

194 + 2X = 180

Solving

194 + 2X = 180

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-194' to each side of the equation.

194 + -194 + 2X = 180 + -194

Combine like terms: 194 + -194 = 0

0 + 2X = 180 + -194

2X = 180 + -194

Combine like terms: 180 + -194 = -14

2X = -14

Divide each side by '2'.

X = -7

Simplifying

X = -7

3 is what percent of 50

Answers

Answer:

6%

Step-by-step explanation:

3/50 x 100/1% = 3/2 x4/1% = 12/2%=6%

I believe it’s 6%. But I’m not sure

Find the value of x.
X=
137°
(4x-17)

Answers

Answer:

x = 15°

Step-by-step explanation:

These angles form a linear

4x - 17 + 137° = 180°

4x - 17 = 43°

4x = 60°

x = 15°

Write the fraction as a decimal
Round to the nearest hundredth
8
11
[?] is i think 0.73 or 0.73/1. or 73/100

Answers

Answer: It is 0.73 my friend. Very good work.

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer should be A......

please help asap!!!!!

Answers

Answer:

d is the question

Step-by-step explanation:

If the ratio of a to y is 2:5 and y is always 30% of z, then for all possible nonzero values
of x, y and z, x/z =

Answers

Answer: 3/25

Step-by-step explanation:

$8.28
______
0.3 m

or

$13.00
______
0.4 m

What are the unit prices of each and which one is a better buy?​

Answers

Answer:

1st

Step-by-step explanation:

1) 1m cost = $8.28/0.3=$27.60/m

2) 1m cost = $ 13.00/0.4=$32.5/m

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