Under her cell phone plan, Sarah pays a flat cost of $69 per month and $4 per gigabyte. She wants to keep her bill at $83.80 per month. Write and solve an equation that can be used to determine g, the number of gigabytes of data Sarah can use while staying within her budget.

Answers

Answer 1

Answer:

83.80 = 69 + 4x
x = 3.7
Sarah can use up to 3.7 gigabytes per month to stay within her budget

Step-by-step explanation:

83.80 = 69 + 4x
14.8 = 4x
x = 3.7

Answer 2

The number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.

Given that, Sarah pays a flat cost of $69 per month and $4 per gigabyte.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of gigabyte be g.

69+4g=83.80

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 4g=83.80-69

⇒ 4g=14.8

⇒ g=14.8/4

⇒ g=3.7 gigabyte

Therefore, the number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.

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Related Questions

Which rule can be used to describe the x-coordinates in the translation below ?

Answers

Answer:

The translation is [tex]X+0[/tex]

Step-by-step explanation:

A translation means the transformation that moves every point in a figure at the same distance in the same direction.

The translation can be described using words like moved up 3 and over 5 to the left or with the notation.

As for the given, there can be no rule described. so the translation is [tex]X+0[/tex]

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The translation is [tex]X+0[/tex]

A translation means the transformation that moves every point in a figure at the same distance in the same direction.

The translation can be described using words like moved up 3 and over 5 to the left or with the notation.

As for the given, there can be no rule described. so the translation is[tex]X+0[/tex]

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find the values, if any, of the boolean variable x that satisfy these equations. x .1=0

Answers

The value of the boolean variable x is 0

How to determine the value of x?

The boolean equation is given as:

x . 1 = 0

The above means that:

x and 1 = 0

The law of the and operator is that;

The output is 0 if both inputs are different.

One of the inputs is 1.

So, the other input is 0

Hence, the value of x is 0

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please help me with this problem!

Answers

Answer:

The choice A ;

[tex] \frac{1}{ {7}^{8} } [/tex]

Step-by-step explanation:

[tex] \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{ {7}^{ - 6 - 2} }{1} = {7}^{ - 8} = \frac{1}{ {7}^{8} } \\ \\ \\ or. \: \frac{ {7}^{ - 6} }{ {7}^{2} } = \frac{1}{ {7}^{ 2 + 6} } = \frac{1}{ {7}^{8} } [/tex]

Hii!

Answer:

Step-by-step explanation:

Use the rule of exponents.

If we divide two numbers with the same bases, we subtract the exponents.

7^-6/7^2=7^-6-2=7^-8

Now, if we have a negative exponent, we flip over the number.

7^-8=1/7^8

Great job!

Hope that this helped.

A portion of John Locke's time card is shown below. How many hours did he work for the week?

PLS PLS HELP IVE BEEN STUCK ON THIS FOR A VERY LONG TIME AND PLS IF YOU DONT KNOW THE ANSWER DONT ANSWER!!!!!

Answers

Answer:

40

Step-by-step explanation:

it's 8+8+8+7+9 so it's gonna be 40

A (-2, 1) B (3,6) Find the gradient of the line ​

Answers

Step-by-step explanation:

A (-2,1) B (3,4) find the gradient of the line

m = -1

we know that=

m/y2 - y 1) / (x2-1)

= (-4-1)/{3-(-2)

=-5/(3+2)

=5/5

= 1

What are the domain and range of the function below?
A. Domain: (-4,0)
Range: [-2,∞)
B. Domain: (-3,0)
Range: [-2,∞)
C. Domain: (-∞,∞)
Range: [-2,∞)
D. Domain:
Range: (-∞,∞)
PS don't mind that dot on the graph, didn't mean to put it there.

Answers

The domain is (-∞,∞) and the range is [-2,∞)

How to determine the domain and the range?

From the graph, we can see that the x values extend at both sides of the graph.

This means that the domain is the set of real values i.e. (-∞,∞)

However, the minimum y value is -2 and it increases from their

This means that the range is [-2,∞)

Hence, the domain is (-∞,∞) and the range is [-2,∞)

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+
A week after the incident at school, Charlotte received an envelope in the mail from Lisa's
mother. The envelope contained two $20 bills, and a note saying that she was sorry that Lisa had
hurt Charlotte and to please take the money to buy a new pair of jeans. Charlotte's new jeans cost
$25.99. Does she have enough to also buy a hoodie sweatshirt that cost $12.99? How much will
her new outfit cost?
w 10 159
Math Level 6-Lesson 13

Answers

Answer:

outfit costs 81 dollars

Step-by-step explanation:

Answer: Yes, she received $40 and the total cost of the outfit would be $38.98.

A book seller a book for Rs 70 at a gain of 40 percent find the profit

Answers

Answer:

Rs 20

Step-by-step explanation:

140%=Rs 70

100%

(100%×Rs 70)÷140%=50

Rs 70-Rs 50=Rs 20

100 POINTS!!!!! WILL GIVE BRAINLIEST!!!!!! PLS HELP ASAP!!!!!!!

SHOW ALL WORK!!!!!!! EXPLAIN ALL WORK ASWELL!!!!!!!!!

1.
A theater has 20 rows of seats. If there are 4 seats in the 1st row 12 in the 2nd row, 20 in the 3rd row . How many seats are there in total? Show and explain all work.

Answers

Answer:

1,600 seats in the theater

Step-by-step explanation:

well it seems like each row is being increased by 8 seats each time.

we start with 4 seats in the 1st row. 12 in the 2nd. and 20 in the 3rd. I will make a chart showing you how many seats are in each row.

4th row - 28  5th row - 36   6th row - 44   7th row - 52   8th row - 60   9th - 68   10th - 76   11th - 84    12th - 92   13th - 100    14th - 108   15th - 116   16th- 124    17th - 132   18th - 140    19th - 148    20th - 156

if we add these all together you will get 1,600

Answer:

1600 seats

Explanation:

1st row = 4 seats, 2nd row = 12 seats, 3rd row = 20 seats

This is arithmetic progression with first term (a) being 4 and common difference (d) of 8 and total term (n) of 20.

Sum of arithmetic series:

[tex]\sf S_n = \dfrac{n}{2} ( 2a + (n-1)d)[/tex]

insert values

[tex]\sf S_{20} = \dfrac{20}{2} ( 2(4) + (20-1)8)[/tex]

[tex]\sf S_{20} = 1600[/tex]

True or false: The graph of y=3x2-3 opens up.

Answers

Answer: True: The graph of y=3x²-3 opens up

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (0,−3)(0,-3)

Focus: (0,−35/12)

Axis of Symmetry: x=0

Directrix: y=−37/12

X={-2, -1, 0, 1, 2}

Y={9, 0, -3, 0, 9

Step-by-step explanation:

A short sale is when a house is sold _____.


Select the best answer from the choices provided.
A.
for less than what a person paid for it
B.
for less than the mortgage owed on it
C.
before the mortgage is paid out in full
D.
because the owner is in bankruptcy proceedings

Answers

a short sale is when a house is sold for less than what the mortgage is.


answer: B. for less than the mortgage owed on it

Ben, Tara and Liam are playing hide and seek. They start playing at quarter past 11. They play for 45 minutes, before stopping for a drink and a cookie. They continued to play for 45 minutes and head inside at 10 minutes past 1.
How long did they stop for a drink and a cookie. Explain your reasoning.

Answers

Answer:

25 minutes

Step-by-step explanation:

they started at a quarter past 11, which is 11:15

they then played for 45 minutes, which would be until 12:00

you also know that they stopped playing at 10 minutes past 1, at 1:10.

before 1:10, they had been playing for 45 minutes, which means they started playing for the second time at 12:25.

all that's left is the time between 12:00 and 12:25, which is 25 minutes, so they spent 25 minutes stopping for a drink and a cookie.

Help asap I need help really bad

Answers

Choice A. Domain is x values, and the graph starts at X=0 but continues off the graph to the right. So x >_ 0
Sorry for the weird symbol typing lol.

Answer: it's answer A

Step-by-step explanation:

It's because the line move toward the greater side and the point where the line starts it a solid circle which then the answer is x is greater than or equal to 0 (x≥0)

and remember that when the circle is solid which means that the middle of the circle is black is should be always 'equal' when the middle of the circle isn't fully black that means you just have to put your answer like ">" just that.

Is the following graph a linear function, non linear function, and or a relation

Answers

no linear function doesn’t pass vlt

20%
120°
y=[ ? ]°
Enter

Answers

Step-by-step explanation:

Solution,

here ,

20° + 120° + x = 180°

reason : The sum of interior angle of triangle is 180°.....

140°+ x = 180°

x = 180° - 140°

x = 40°

Now..

x + y = 180° ....

reason : Supplementary angle...

40° + y = 180°

y = 180° - 40°

y = 140°

[tex]...[/tex]

Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.)
f(x) = 3x − 6

Answers

The function values are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6

The problem is incomplete. The complete problem is

Find the function value, if possible. (If an answer is undefined, enter UNDEFINED.) f(x) = 3x − 6

(a) f(1)

(b) f(−2)

(c) f(x + 4)

We have

(a) f(1) = 3 (1) - 6 = 3 - 6 = -3

(b) f(-2) = 3(-2) - 6 = -12

(c) f(x + 4) = 3(x + 4) - 6 = 3x + 6

So, the evaluations are f(1) = -3, f(-2) = -12, f(x + 4) = 3x + 6

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Which of the following will result in a rational number? Select all that apply.

Answers

An expression is defined as a set of numbers, variables, and mathematical operations

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified as,

A.) 7 3/4 - (√11)/5 = (155-4√11)/20

B.) 7 3/4 ÷ (√11)/5 = 155/(4√11)

C) 7 3/4 + (√16)/5 = 166/20

D.) 7 3/4 + (√16)/5 = 31/5

The option that will result in a rational number is C and D.

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Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) 8?

Answers

Step-by-step explanation:

It's answer is x_> -27 by using inequality rule

Find the area of the triangle, given that sin(C) = 1/2. Round the answer to the nearest whole number.
A. 26 square units
B. 75 square units
C. 150 square units
D. 299 square units

Answers

Answer: 75 square units

Given:

sin(C) = 1/2

Area of Triangle:

= 1/2 × a × b × sin(C)

= 1/2 × 13 × 23 × 1/2

= 74.75

≈ 75 square units

Quadrilateral ABCD is translated 7 units down and 2 units to the right.

The length of side AB of the original quadrilateral is
units. After the translation, the length of side AB will
.

Answers

ABCD is a quadrilateral that has been translated 2 units to the right and 7 units down. The length of side AB will not change following the translation. Option C is correct.

What is translation?

Each point in a figure is moved the same distance in the same direction using a sort of transformation known as translation.

The complete question is

"Quadrilateral ABCD has translated 7 units down and 2 units to the right.

The length of side AB of the original quadrilateral is_____ units. After the translation, the length of side AB will___________ .

2

3

3.5

4

----------------------------

Increase

Decrease

Remain the same"

Quadrilateral ABCD has translated 7 units down and 2 units to the right.  After the translation, the length of side AB will remain the same.

Hence option C is correct.

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Instructions
For this activity, you will need two different coins. First, you will determine the theoretical probability of events. Then, you will flip the coins 100 times and determine the experimental probability of the events.

Flip two different coins 100 times, and record the results of each coin toss in a table like the one below:

Result Frequency
Two heads
Two tails
One head, one tail
Answer the following questions based on the data you gathered. You must show your work to receive credit.

What is the theoretical probability that a coin toss results in two heads showing?
What is the experimental probability that a coin toss results in two heads showing?
What is the theoretical probability that a coin toss results in two tails showing?
What is the experimental probability that a coin toss results in two tails showing?
What is the theoretical probability that a coin toss results in one head and one tail showing?
What is the experimental probability that a coin toss results in one head and one tail showing?
Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?

Answers

The theoretical probability of getting two tails on two coin tosses is 0.25.

How to calculate the probability?

The theoretical probability is the ratio of the number of favorable outcomes to the number of possible outcomes. Given a coin is tossed twice.

We have to find the theoretical probability of tossing two tails. The probability of getting tails on the toss of a coin is 1/2 0r 0.5.

Therefore, the probability of getting two tails on two coin tosses is 0.5 × 0.5 or 0.25.

The theoretical probability that a coin toss results in two heads showing is 0.25.

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Select the correct answer from each drop-down menu.
Line r cuts parallel lines p and q as shown in the figure.
Angles E and G are to each other because they are angles.

Answers

Answer:

see explanation

Step-by-step explanation:

angles E and G are congruent to each other because they are vertical angles.

What are the domain and range of f(x) = 2x - 41?
O domain: x < 2; range: (-∞0,00)
O domain: (-∞,00); range: f(x) > 0
O domain: (-∞0,00); range: f(x) < 0
O domain: x ≥ 2; range: (-∞,00)

Answers

The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.

What are domain and range?

The domain means all the possible values of x and the range means all the possible values of y.

The function is given below.

f(x) = 2x – 41

Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.

Then the correct option is C.

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10) Find the perimeter of the shape below, which has been formed from two quarter circles, [1]
rounding your answer to 3 significant figures
P
8.7 cm

Answers

There is no shape included in your question

help … fr …. D: D: D: D:

Answers

Step-by-step explanation:

Let x be mixture x liters and y be mixture y liters.

We need a total of 4 liters so

[tex]x + y = 4[/tex]

Mixture x is 20% saline solution

Mixture Y is a 10% saline solution

4 liters of a 15% saline solution is 60% saline solution.

[tex].20x + .10y = 0.6[/tex]

So a is the system of equations,

Using Elimination, eliminate the variable x.

[tex] - 5(.20x + .10y) = 0.6[/tex]

[tex]( - x - .50y) = - 3[/tex]

Add to the first system.

[tex]0.50y = 1[/tex]

[tex]y = 2[/tex]

Plug this into the of system of equations, to find x

[tex]x + 2 = 4[/tex]

[tex]x = 2[/tex]

So our solution is (2,2) We would need 2 liters of Mixture X and 2 liters of Mixture Y

CAN SOMEBODY PLEASE HELP? I WILL GIVE BRAINLIEST!!

Answers

Answer:0

Step-by-step explanation:2≠8,10 so we use the bottom formula. We get 4 - 6 + 2=0

Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15. More than he paid . How much should he charge?

Answers

The amount of charge for one bag of peanuts will be $0.65.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Jose bought 750 bags of peanuts for $375.00.

He intends to sell each bag for $0.15 more than he paid.

Then the amount of charge for one bag of peanuts will be

⇒ $375 / 750 + $0.15

⇒ $0.5 + $0.15

⇒ $0.65

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decrease 2155.45 by 18.5 round 2dp

Answers

The solution is 1756.69

What is number system?

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

We have to find the 18.5% of 2155.45.

So,

2155.45 * 0.185 = 398.75825

Now, subtract

21.55.45 - 398.75825

= 1756.69175

Hence, the value is 1756.69

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Write the equation 0.10x + 0.25y = 16 so that the number of quarters y is a function of the number of dimes x. Describe the domain and range of the function and explain how you determined the domain and range.

Answers

Honestly bro this seems hard

What is the volume of figure

Answers

Answer:

the middle of the shape

Step-by-step explanation:

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