Under his cell phone plan, Josiah pays a flat cost of $37 per month and $3 per gigabyte. He wants to keep his bill at $43.60 per month. Write and solve an equation which can be used to determine xx, the number of gigabytes of data Josiah can use while staying within his budget.

Answers

Answer 1

The number of gigabytes of data Josiah can use while staying within his budget is 2.2 gigabytes.

Flat costs and Variable cost

The total amount of money that can be spent on the cell phone plan is the sum of the flat cost and the variable cost.

Total cost = flat cost + variable cost

Determination of the equation required to solve for the gigabytes needed

The flat cost is the cost that remains constant each month. The variable cost is the cost that increases by gigabyte used.

$43.60 = $37 + $3x

The gigabytes needed

In order to determine the value of x, combine similar terms together

$43.60 - $37 = $3x

6.6 = $3x

Divide both sides by 3

6.6/3 = x

x = 2.2 gigabytes

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Related Questions

5x + 7y = 5 10x + 14y = 10 solve by elimination​

Answers

multiply the first equation by -2

The answer is:

x= 46/5

y= 5/7

Please help due today

Answers

Answer:

Step-by-step explanation:

Each boundary line equation is of the form ...

  y = mx + b

the value of m is the coefficient of x. The value of b is the constant. You find their values by matching the given relation to the form above, and identifying the matching parts.

  y ≤ 1/2x +2   ⇒   m = 1/2, b = 2

  y < -2x -3   ⇒   m = -2, b = -3

_____

The slope (m) in each case tells you how many units up (m>0) or down (m<0) the line will go for each unit to the right. The y-intercept (b) in each case gives you a starting point on the y-axis, making it easier to draw the line.

The < part of each inequality symbol tells you the graph will be shaded below the boundary line. (Y-values in the solution set are less than those on the line.) The "or equal to" part of the first inequality symbol tells you the boundary line will be solid. (Y-values on that line are part of the solution set.) The lack of that in the second inequality tells you the boundary line will be dashed.

The graph is shown in the attachment.

Find the equation of a line that passes through the point (3,4) and has a gradient of 4.
Leave your answer in the form
y=mx+c

Answers

Answer:

The equation of a line in the slope-intercept form is:

y = 5x - 18

The slope-intercept form of the line equation

where

   m is the slope

   b is the y-intercept

In our case, we are given

   m = 5

   Point (4, 2)

now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept

y = mx + b

2 = 5(4) + b

20 + b = 2

subtract 20 from both side

20 + b - 20 = 2 - 20

b = -18

now substituting b = -18 and m = 5 in the slope-intercept form of the line equation

y = mx + b

y = 5x + (-18)

y = 5x - 18

Therefore, the equation of a line in the slope-intercept form is:

y = 5x - 18

Pls mark me as brainliest thank you

Answer:

Step-by-step explanation:

m = 4

y = mx +c

y= 4x + c

Plugin x = 3 and y= 4 in the above equation

4 = 4*3 + c

4 = 12 +c

4 - 12 = c

c = -8

Equation of the line :

y = 4x - 8

Help me please what's the scale factor of the dilation simplified!!!

Answers

Answer:

large/small = 4small/large = 1/4

Step-by-step explanation:

The small square extends from x=1 to x=4, so its side length is 4-1 = 3.

The large square extends from x=4 to x=16, so its side length is 16-4 = 12.

The scale factor is ...

  large/small = 12/3 = 4

or

  small/large = 3/12 = 1/4

We don't know which way you're scaling, so choose the factor appropriate to your question.

Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill? 36 48 52 56

Answers

Answer:52

Step-by-step explanation:.

By using the concept of the point-slope form of an equation,

The initial number of party favor bags Razi had to fill would be 52.

In this situation, the independent variable (x) is the amount of time in minutes.  

The dependent variable (y) is the number of bags remaining.

Since he is working at a constant rate, this makes it a linear function.  

In a linear function, the amount he had to fill, to begin with, is the y-intercept.  

Since The point-slope form of the equation is,

y - y₁ = m(x - x₁)

First, we find the slope using the formula

m = (y₂-y₁)/(x₂-x₁)

m = (32-36)/(5-4)

m = -4/1

m = -4

Using this and the first point, we have

y - 36 = - 4(x - 4)

Using the distributive property, we have

y - 36 = -4(x)- 4(-4)

y - 36 = -4x--16

y - 36 = -4x + 16

Add 36 to each side:

y - 36 + 36 = -4x + 16 + 36

y = -4x + 52

So, for the initial number of party favor bags Razi had to fill;

Substitute x = 0;

y = - 4 (0)+ 52

y = 52

Hence,

The required initial number is 52.

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The missing table in the question is attached below.

5y+40z what is the factor

Answers

Answer:

the factored form is 5(y + 8z)

Step-by-step explanation:

Because 5 divides evenly into both 5y and 40z, the GCF is 5 and the factored form is 5(y + 8z)

Which division is shown by the model?
1. 2 divided by 3/4 =2
2. 3 divided by 3/4= 4
3. 2 divided by 2/3= 3
4. 2 divided by 2/3=3

Answers

Answer:

C, you chose the correct answer! Good job. ¯\_(ツ)_/¯

Step-by-step explanation:

3÷[tex]\frac{2}{3}=3[/tex]

Mark brainliest if possible, it's always appreciated. ¯\_(ツ)_/¯

Hope this helps!

-❤AbqveNatural❤

Answer:

e

Step-by-step explanation:

e

Solve the system of equations 5x - y = -9 and 3x + 4y = 13 by combining the
equations.

Answers

Answer:

2+2 =22. ‍♀️ ................

d
=

(
x
2

x
1
)
2
+
(
y
2

y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
2
,

4
)
and
(
x
2
,
y
2
)
=
(
4
,
3
)
.
Leave your answer in surd form.

Answers

[tex](x_1, y_1) = (2,-4) ,~~~(x_2 , y_2) = (4,3)\\\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\=\sqrt{(4 - 2)^2 + (3+4)^2}}\\\\=\sqrt{2^2 + 7^2} = \sqrt{4+49} = \sqrt{53}[/tex]

2 2/3×2 2/5 please answer quickly

Answers

Answer: 6.4 and in fraction form 32/5

Answer:

32/5 or 6 2/5 which 6 2/5 is the simplified answer

Step-by-step explanation:

so first you want to turn your mixed numbers( 2 2/3 and 2 2/5) into fractions

so you turn 2 2/3 into a fraction by multiply 2 times 3 + 2 and you keep the denominator so it would be 8/3

Then you would do the same for the other one 2 times 5 +2 and that would be 12/5

The multiply 8/3 times 12/5 but cross simplify 3 and 12 make 12 four and make 3 one

so then your problem should look like this 8/1 times 4/5 and the answer is 32/5 or if you simplify it would be 6 2/5

'Hope this helped

here!i need the answer!
[tex]\sf 13\times 13\times 1[/tex]

Answers

Answer:

[tex]169[/tex]

Step-by-step explanation:

[tex]13 \times 13 \times 1[/tex]

[tex] = 13 \times 13[/tex]

[tex] = 169[/tex]

what is the inequality for the graph

Answers

Y >= 2X - 5

Step-by-step explanation:

yeah-ya..... right?

x3+y3+z3=k What does this equation mean please?

Answers

Answer:

Sum of cubes problem

Step-by-step explanation:

The equation x3+y3+z3=k is sum of cubes problem. While seemingly straightforward, the equation becomes exponentially difficult to solve when framed as a "Diophantine equation" a problem that stipulates that, for any value of k, the values for x, y, and z must each be whole numbers.

Answer:

it means x to the third power, plus y to the third power, plus z to the third power, equals some number (k).

Step-by-step explanation:

Could someone explain how to convert from slope intercept form: y=mx+b to standard form: ax+by=c because I don’t understand
Don’t copy from the internet pls

Answers

Answer:

basically you move the y and x to one side and the constant to the other

for example if we had 2y=-5x+6, you'd move the 5x other to the other side by adding 5x and you'd get 5x+2y=6

helppp plz is fue today

Answers

Answer:

Step-by-step explanation:

A CHOOSE A

Answer:

A

Step-by-step explanation:

 sorry:c

4x – 5y = 15


m=
b=

(I need to graph the linner equation)

Answers

Answer:

yea I agree that this is correct and it's 15 and it's 4x

Maddie has $100. She worked for 5 days and she now has $200. What
integer represents the average increase in value PER DAY?

Answers

She gets 20 dollars every day.

if i get 1 pack of pepsi bottles 8-pack how much would it be if it i can get 3 for $12.88?

Answers

Answer:

38.64

Step-by-step explanation:

If 3 = 12.88

Then Just do 12.88+12.88=25.76 which also equal 6. Then 12.88/2=6.44

so 25.76+6.44+6.44=38.64

Therefore it would be 38.64.

I'm not sure but base on the math above I think the answer is 38.64

Somebody plz help ????? I need the answer to this

Answers

Answer:

I was thinking it should be -1,2 but that'd not an awnser so B

Fatima writes down three square numbers.
The total of the square numbers is 30.
Which square numbers did Fatima write down?

Answers

Answer:

10

Step-by-step explanation:

Fatima wrote down 3 square numbers

since we don't know the three square we will represent it by any variable (X)

3x=30

so you divide both sides by 3

so we have 3x/3=30/3=10

therefore the answer is 10

The total of the square numbers is 30.

The squares can be from the following.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

1 + 4 + 25 = 30

The three square numbers are 1, 4, and 25.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total of the square numbers is 30.

The squares can be from the following.

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

We can take three squares.

1 + 4 + 25 = 30

This is a perfect case.

Thus,

The three square numbers are 1, 4, and 25.

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Solve the equation for x.

x-8 = 2​

Answers

Answer:

x=10

Step-by-step explanation:

1 year = 12 months
3/4 year =

Answers

Answer:

3/4 year = 9

Step-by-step explanation:

To find 3/4 of a year you first need to find 1/4 of a year so you do 12/4 and get 3. Now we know that 1/4 of a year is 3 months so you just multiply that by 3 to get 9. So 3/4 of a  year is 9 months.

I hope this helps!

Your answer to 3/4 of a year is 9 months

How many times farther is Jupiter from the Sun than Venus? How many times farther is Saturn from the Sun than Mars? Round your answers to the nearest tenth.

Answers

The Jupiter is 6.93 times farther  from the Sun than Venus

The Saturn is 6.29 times farther from the Sun than Mars

Distance between the sun and Jupiter = 748.02 million km

Distance between the sun and venus = 108.01 million km

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 748.02/108.01

Ratio of the distance between the sun and Jupiter to the distance between the sun and Venus = 6.93

Therefore, the Jupiter is 6.93 times farther  from the Sun than Venus

Distance between the Sun and Saturn = 1.4823 billion km = 1482.3 million km

Distance between the Sun and Mars = 235.66 million km

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 1482.3/235.66

Ratio of the distance between the Sun and Saturn to the distance between the Sun and Mars = 6.29

Therefore, the Saturn is 6.29 times farther from the Sun than Mars

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What is -2(3x+12y-5-17x-16y+4) simplified?
A) -40x+8y+2
B) 28x+8y+2
C) 28x+6y+2
D) -28x-8y+2

Answers

Answer: B

Step-by-step explanation:

Multiply everything in the bracket by -2 and combine like terms

Answer:

It's B

Step-by-step explanation:

Which set of ordered pairs does not represent a function?
a
O{(-6, -9), (-2, -3), (–9,2), (2, -3)}
O {(-2,0), (-5,8), (7,9), (6,8)}
O {(6,9), (-7,8), (1, –4), (8,8)}
O{(-2, -6), (-1,2), (-2, – 7), (6,6)}
Submit Answer

Answers

Answer:

Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}

Step-by-step explanation:

Definitions:A function is a relation for which no two ordered pairs have the same first component (or x-values) and different second component (y-values). The set of first components is the input, also referred as the domain. The set of second components is the output, also referred as the range.

In order to determine whether a given relation is a function, one must always take notice of the x-values ⇒ make sure that an x-value does not have more than one corresponding y-value.

Solution:

Option 1:  {(-6, -9), (-2, -3), (–9,2), (2, -3)}  ⇒ This relation is a function. Each input has one corresponding output.

Option 2: {(-2,0), (-5,8), (7,9), (6,8)}   ⇒ This relation is also a function. Each input has one corresponding output.

Option 3: {(6,9), (-7,8), (1, –4), (8,8)}  ⇒ This relation is also a function. Each input has one corresponding output.

Option 4:  {(-2, -6), (-1,2), (-2, – 7), (6,6)} ⇒ This relation is not a function. The x-value, x = -2, has two corresponding y-values: y = -6, and y = -7.

Therefore, the correct answer is Option 4: {(-2, -6), (-1,2), (-2, – 7), (6,6)}.

Answer:

the last one {(-2, -6), (-1,2), (-2, – 7), (6,6)}

Step-by-step explanation:

it has 2 of the same x values with 2 different y coordinates, in other words it fails the vertical line test.

Solve 22 x 104 = ________. (1 point) A. 2,200,000 B. 220,000 C. 22,000 D. 2,200

Answers

Solution:

[tex]22 \times {10}^{4} \\ = 22 \times 10 \times 10 \times 10 \times 10 \\ = 22 \times 10000 \\ = 220000[/tex]

Answer:

B. 220,000

Hope it helps.

Do comment if you have any query.

22*10^4
22*10000
220,000

The answer is B

The coefficient in the formula above tells us there are:


Question 5 options:


eight Carbon atoms



18 Hydrogen atoms



2 molecules of octane



28 total atoms

Answers

Answer: the awser is 2 not 6

Step-by-step explanation:

PLEASE HELP FOR BRAINLIEST

Simplify.
7x + 3(x - 2) - 4x + 8
A) 6x + 2
B) 6x + 14
C) 6x - 2
D) 14x + 2

Answers

Answer:

A

Step-by-step explanation:

7x + 3(x - 2) - 4x + 8

7x + 3x - 6 - 4x + 8

Combine like terms:

6x + 2

Hope this helps!

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's Simply ~

[tex]7x + 3(x - 2) - 4x + 8[/tex]

[tex]7x + 3x - 6 - 4x + 8[/tex]

[tex]7x + 3x - 4x - 6 + 8[/tex]

[tex]6x + 2[/tex]

Therefore, the correct choice is ~ A

I need help asap
With my math homework if any one can help let me know

Answers

Answer:

whats the question?

Step-by-step explanation:

how do i turn
[tex] \frac{63}{56} [/tex]
to a mixed fraction? ​

Answers

Step-by-step explanation:

63/56 = 9/8 = 1⅛.

hope this helps you.

Answer:

1 1/8.

Step-by-step explanation:

First divide 63 by 56 .

This gives 1 with a remainder of 7.

So we can write the mixed number as 1 7/56.

This simplifies to 1 1/8.

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