A cell phone plan charges $38 a month, and an additional $12 a month for each gb of data used. write an equation for the monthly cost (y) of the cell phone plan in terms of the number of gb of data used (x).

Answers

Answer 1

Answer:

y = 38 + 12x

Step-by-step explanation:

38is fixed cost per month and since the charge is $12 per GB, the variable cost is 12x where x is the GB used


Related Questions

Antonio and his two brothers equally shared the cost of a new CD with a list price of $18. They
received a 20% discount off the list price and paid 8.25% sales tax on the discounted price.
Find the approximate amount that each of the 3 brothers paid toward the cost of the CD.
A. $4.80
B. $5.20
C. $6.50
D. $15.59

Answers

Answer:

B. $5.20

Step-by-step explanation:

18 decrease 20% =

18 × (1 - 20%) = 18 × (1 - 0.2) = 14.4

14.4 increase 8.25% =

14.4 × (1 + 8.25%) = 14.4 × (1 + 0.0825) = 15.588

15.588/3 = 5.196

A randomly generated list of integers from 1 to 5 is being used to simulate an event, with the numbers 1 and 2 representing a success. What is the estimated probability of a success?
A.50%
B.30%
C.40%
D.20%

Answers

C- 40% because it’s 2/5

a women is 34 years older than her dauhter eiht years ago she was 3 times as old as her daughter what is the age of her daughter now? ​

Answers

Answer:

The daughter is 14 years old

Step-by-step explanation:

34+8=42

42÷3=14

What are the solutions, if any, of the equation x2−25=−7?

Answers

Answer:

[tex]x=\pm3\sqrt{2}[/tex]

Step-by-step explanation:

1) Add 25 to both sides.

[tex]x^2 = -7 + 25[/tex]

2) Simplify -7 + 25 to 15.

[tex]x^2=18[/tex]

3) Take the square root of both sides.

[tex]x=\pm18[/tex]

4) Simplify [tex]\sqrt{18}[/tex] to [tex]3\sqrt{2}[/tex].

[tex]x=\pm3\sqrt{2}[/tex]

On a number line, 1.84 would be located ______. Choose all answers that make a true statement.



1.84
《--|----|----|----|----|----|----|----|----|----|--》

A. between 1.74 and 1.94
B. to the left of 1.85
C. to the right of 1.83
D. between 1 and 2 ​

Answers

Answer:

All answers are correct.

Step-by-step explanation:

A. 1.84 is between 1.74 and 1.84.

B. 1.84 < 1.85. Lower values go to the left.

C. 1.84 > 1.83. Higher values go to the right.

D. 1.84 is between 1.0 and 2.0.

Which best describes the data set? it is nonlinear because the ""total houses built"" column does not increase at a constant additive rate. it is nonlinear because the ""months passed"" column does not increase at a constant additive rate. it is nonlinear because the increase in the ""total houses built"" compared to the increase in the ""months passed"" does not show a constant rate of change. it is linear because the increase in the ""total houses built"" compared to the increase in the ""months passed"" shows a constant rate of change.

Answers

Answer :C)It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.

:) hope you have a great day!

The measure of an angle is 42.1°. What is the measure of its complementary angle?

Answers

Answer:

47.9°

Step-by-step explanation:

complementary angles are two angles that add up to 90° [90 degrees]

so, we can find the complementary angle of 42.1 by finding what angle it needs to add up to 90

we can use subtraction to find this value:

90 - 42.1 = 47.9

So, the complementary angle to the angle 42.1° has a measure of 47.9°

hope this helps, have a lovely day!! :)

[tex] \huge\orange \star \: \huge\begin{gathered} {\underline{\boxed{ \mathcal {\red{Answer}}}}}\end{gathered}[/tex]

You need to know that two angles are complementary when they are equal to 90°. If you want to find the complement of an angle, and you have one of the angle measures, you need to subtract it from 90°. You have an angle measure of 42.1°. This will be the number you subtract.

90° - 42.1°

47.9

In the first picture can you please answer all of them in order I'm not sure if my answers are correct.

Answers

The number of cookies packs needed if the treasurer buys 1 package of brownies bites is 5 packs

Equation

Total attendance = 75 peopleCookies in each pack = 12Brownies in each pack = 15Number of cookies pack = cNumber of brownies pack = b

15b + 12c = 75

If 1 package of brownies is bought

15b + 12c = 75

15(1) + 12c = 75

15 + 12c = 75

12c = 75 - 15

12c = 60

c = 60/12

c = 5 packs

It is a reasonable value in this context

If 9 packages of brownies are bought

15b + 12c = 75

15(9) + 12c = 75

135 + 12c = 75

12c = 75 - 135

12c = -60

c = -60/12

c = -5 packs

The value is not reasonable in this context

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The graph of y =[tex]\sqrt[]{x}[/tex]nis transformed as shown in the graph below. Which equation represents the transformed function?

Answers

Answer:

[tex]\textsf{A)}\quad y=-\sqrt{x}+2[/tex]

Step-by-step explanation:

Parent function:

[tex]y = \sqrt{x}[/tex]

The properties of the parent function are:

Starts at the origin, so y-intercept is at (0, 0)Domain: x ≥ 0Range: y ≥ 0As x increases, y increases

From inspection of the graph, as the x-values increase, the y-values decrease. Therefore there has been a reflection in the x-axis.

The y-intercept is now at (0, 2), therefore the function has been translated 2 units up.

Translations

For a > 0

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

Therefore:

Reflected in the x-axis:  [tex]-f(x)=-\sqrt{x}[/tex]

Then translated 2 units up:  [tex]-f(x)+2=-\sqrt{x}+2[/tex]

So the equation that represents the transformed function is:

[tex]y=-\sqrt{x}+2[/tex]

20 points please!!! helpp with functions and average rate of change

Answers

Answer:

option C.

Step-by-step explanation:

If we calculate average rate of change of a function over a certain interval, we’re computing the average number of units which the function moves up or down, per unit along on the xx-axis. We might alternatively argue that we’re measuring how much change occurs in our function’s value per unit on the xx-axis.

The equation for average rate of change is -

Δx/Δf =

f(x2) - f(x1) / x2 - x1

Answer:

  C  k(x)

Step-by-step explanation:

The average rate of change (m) of a function on an interval is the difference between the function values at the ends of the interval, divided by the interval width:

  [tex]m_{ab}=\dfrac{f(b)-f(a)}{b-a}\qquad\text{average rate of change on interval $[a,b]$}[/tex]

__

simplification

Here, the interval of concern is the same for all of the functions. It is [a, b] = [0, 2] so the denominator of this fraction is 2-0 = 2 for all of the functions. That means we can determine the greatest average rate of change by simply looking at the differences f(2) -f(0) for each of the functions.

amount of change

  A. j(2) -j(0) = 3(1.6²) -3 = 4.68

  B. g(2) -g(0) = 25/2 -8 = 9/2 = 4.5

  C. k(2) -k(0) = 9 -4 = 5 . . . . . . . . . . greatest amount of change

  D. f(2) -f(0) = 1.5(2²) -1.5 = 4.5

solution

The function k(x) has the greatest average rate of change over the interval [0, 2].

Chloe would like to join a club for dancing entrance fee is $20.00 and will be charged $35.00 per month. Chloe would like to know cost for each month. Write and equation indicating the total cost of dancing lessons

Answers

It would be 35x+20=C

C is total cost
X is the months

3x+4y=24 ,4x+3y=22 simultaneous equations simultaneous equ

Answers

Answer:

x=64

y=54

Step-by-step explanation:

3x+4y=24 4(24-4y\3)+3y=22

x=24-4y/3 96-12y\3+3y=22

x=24-4(54)/3

x=-64 96/3-22=3y/3

y=54

Proving Vertical Angles Are Congruent

Answers

Answer:

Vertical angles are always congruent

Step-by-step explanation:

Answer:

Statement

Measure of angle 2 and 3 are a linear pair and

Reason

Definition of linear pair

Step-by-step explanation:

Hook me up with a 5 star and a Thanks :)

factorise the following expressions:
a) 14w + 21
b) 27x+18​

Answers

Step-by-step explanation:

a) 14w + 21

- Factor out 7 from the expression

7 (2w + 3)

b) 27x + 18

- Factor out 9 from the expression

9 (3x + 2)

Hi!

___________________________________________________________

[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]

#1 7(2w+3)

#2 9(3x+2)

[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]

We need to factor these two expressions.

[tex]\twoheadrightarrow\sf 14w+21[/tex] and [tex]\twoheadrightarrow\sf 27x+18[/tex]

For now let's focus on the first expression.

Note that both terms, 14w and 21, have something in common.

In fact, they have 7 in common. So we factor it out by dividing 14w and 21 by 7.

[tex]\twoheadrightarrow\sf14w\div7=2x\\\twoheadrightarrow\sf21\div7=3[/tex]

[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they are positive

[tex]\twoheadrightarrow\sf 2w+3[/tex]

[tex]\bullet[/tex] Put parentheses around 2w+3

[tex]\twoheadrightarrow\sf (2w+3)[/tex]

[tex]\bullet[/tex] Put7 outside the parentheses

[tex]\twoheadrightarrow\sf7(2w+3)[/tex]

[tex]\bullet[/tex] Great job! We factored the expression

__________________________________________________________

This problem can be solved the same way!

This time, both terms have a 9 in common.

[tex]\twoheadrightarrow\sf 27x+18[/tex]

So we divide both terms by 9.

[tex]\twoheadrightarrow\sf 27x\div9=3x\\\twoheadrightarrow\sf18\div9=2[/tex]

[tex]\bullet[/tex] Put the terms together, with a plus sign in between since they're positive

[tex]\twoheadrightarrow\sf 3x+2[/tex]

[tex]\bullet[/tex] Next, put parentheses around 3x+2 and put 9 outside the parentheses

[tex]\twoheadrightarrow\sf 9(3x+2)[/tex]

[tex]\bullet[/tex] Great job! We factored both expressions

--

Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

--

if three hard drives are using 132 5/8 watts, what is the number of watts used per hard drive?

1. 44 7/24 watts

2. 42 5/24 watts

3. 42 7/24 watts

4. 44 5/24 watts

whoever answers correctly i will give brainliest.​

Answers

132/3 = 44

5/8 / 3 = 5/8 x 1/3 =5/24


answer: 4. 44 5/24 watts

Answer:

[tex]\sf 4. \quad 44\frac{5}{24}\:\:watts[/tex]

Step-by-step explanation:

Given information:

3 hard drives are using 132 5/8 watts

To find the number of watts used per hard drive, divide the total amount of watts by 3.

Convert the mixed number into an improper fraction:

[tex]=\sf 132 \frac{5}{8}[/tex]

[tex]\sf =\dfrac{132 \times 8+5}{8}[/tex]

[tex]\sf =\dfrac{1061}{8}[/tex]

Divide by 3:

[tex]=\sf \dfrac{1061}{8} \div 3[/tex]

[tex]\sf =\dfrac{1061}{8} \times \dfrac{1}{3}[/tex]

[tex]\sf =\dfrac{1061 \times 1}{8 \times 3}[/tex]

[tex]\sf =\dfrac{1061}{24}[/tex]

Convert back into a mixed number:

[tex]\sf =\dfrac{1061}{24}[/tex]

[tex]\sf =\dfrac{1056+5}{24}[/tex]

[tex]\sf =\dfrac{1056}{24}+\dfrac{5}{24}[/tex]

[tex]= \sf 44\frac{5}{24}[/tex]

Therefore, the number of watts used per hard drive is [tex]\sf 44\frac{5}{24}[/tex] watts.

Question 1
swere
>
Find the equation for the line that passes through (2, 8) that has slope 4. Give your answer in point-slope
form. You do not need to simplify.

Answers

Answer:

The point-slope form is y - 8 = 4(x - 2)

Step-by-step explanation:

Given:

slope = 4passes through (2, 8)

the point-slope form is y - y1 = m(x - x1)

(x1, y1) is a known pointm is the slope of the line(x, y) is any other point on the line

Hence the point-slope form is y - 8 = 4(x - 2)

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Which table correctly identifies the sample space of spinning the spinner and then selecting a card?

Answers

The table that correctly identifies the sample of spinning the spinner and then selecting a card is Option A.

What is a sample?

A sample is a random element that belongs to a population. Another way to state it is that, it is a set of all the outcomes that are possible from a given set of events.

What is the explanation for the above?

Table A accurately depicts each potential result. Along the column on the left is where you'll see the card outcomes.

The spinner's output is shown along the top row. The intersection of the left and top results appears in each cell.

For instance, row 1, and column 3 include "red, purple" to show that you received a card with the color "purple" and the color "red" on the spinner.

The labels on each cell in table A are accurate. At least one cell in the other tables (B, C, and D) contains an incorrect label.Table B's middle cell in the top row reads "blue, green" when it should read "blue, purple."Table C's upper left corner reads "green, green" when it should be "green, purple."In the bottom middle cell of Table D, "blue, blue" appears where "blue, green" should. Since there isn't a blue card, it is impossible to say "blue, blue."We can rule out options B through D using the three things outlined above.

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Tara and Julia run a race Julia takes 42 seconds to run the race she is seven seconds faster than Tara how many seconds does Tara take

Answers

Answer:

49 seconds

Step-by-step explanation:

42+7=49

Answer:

35 seconds

Step-by-step explanation:

PLEASE HELP. FUNCTIONS AND RELATIONS. PROVIDE ANSWER OPTION A,B,C OR D? THANKS!!

Answers

Step-by-step explanation:

please mark me as brainlest

What similarities exist between the operations on polynomials and the operations on functions?

Answers

A function assigns the value of each element of one set to the other specific element of another set.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In keeping with the remarks, the simple answer is that all polynomials are functions, but not all functions are polynomials. A function is essentially a rule that allocates a codomain value to every domain value.

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If the triangles above are reflections of each other, then BC = to

Answers

Answer:

DF

Step-by-step explanation:

Paint a picture in your head reflecting the triangle. Just hold A and flip it so A = E , D = B


Another way to write g(h(x)) is

(gOh)(x)
(hog)(x)

Answers

Answer:

A. Another way to write g(h(x)) is (g×h)(x)

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

please help!! i’lol give brainliest

Answers

Answer:

×=20

Step-by-step explanation:

180-110=70

70+70=140

180-140=40

40÷2=20

Answer:

x = 20°

Step-by-step explanation:

110° and the interior angle of the triangle are a linear pair and sum to 180°

interior angle + 110° = 180° ( subtract 110° from both sides )

interior angle = 70°

the larger triangle is therefore isosceles, 2 base angle are congruent, then

2x = 180° - 140° = 40° ( sum of angles in Δ is 180° )

divide both sides by 2

x = 20°

Which of the following statements is false?

Answers

In quadrilateral PQRS, ∠P and ∠S are opposite angles.

Find the value
of each variable.

Answers

Answer:

y=37 degrees(vertical angles)

x=180-37(linear pair)=143 degrees

z=143 degrees(vertical angles)

Hope it helps!

Answer:

x = 180° - 37° = 143°

y = 37°

z = 180° - 37° = 143°

Which equation can be used to solve for x in the following diagram?

Answers

i think 3x+12+x=180
because it is a supplementary angle and those equal 180
the sum of both sides on the straight line make 180

and if you were to solve it
it would be
= 42


The amount of weight a truck can hold is limited to 1200 pounds. If you weigh 165 pounds and each brick weighs 3 pounds, how many bricks, b, can you
haul?

Answers

Answer:

max weight truck can hold = 1200 pounds

your weight. 165 pounds

1200 - 165

1035 pounds left

3 pounds --- 1 brick

1035 --- ?

1035 / 3

345 can haul

You can haul 345 bricks in the truck.

How many bricks, b, can you haul?

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4.

From the given information, we have:

The amount of weight a truck can hold is limited to 1200 pounds.

You weigh 165 pounds and each brick weighs 3 pounds.

Number of bricks you can haul, b.

Thus, we can say:

Your weight + (Weight of each brick * Number of bricks)  ≤ Total weight capacity of the truck

165 + (3 * b) ≤ 1200

3b ≤ 1200 - 165

3b ≤ 1035

b ≤ 1035/3

b ≤ 345

Therefore, you can haul 345 bricks in the truck.

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The length of a rectangular field is 4 meters less than 5 times the breadth of the hall. What is the length, if the breadth is b meters?

Answers

IF BREADTH=b meters
THEN LENGTH=4 meter less than 3 times than the breadth of the hall.
LENGTH=3b-4 meters
the length of the rectangular hall is=3b-4 meters

what is the factor each expression of x2 - 2x

Answers

Answer:

x(x - 2)

Step-by-step explanation:

x² - 2x ← factor out x from each term

= x(x - 2)

What is the difference? startfraction x over x squared minus 16 endfraction minus startfraction 3 over x minus 4 endfraction startfraction 2 (x 6) over (x 4) (x minus 4) endfraction startfraction negative 2 (x 6) over (x 4) (x minus 4) endfraction startfraction x minus 3 over (x 5) (x minus 4) endfraction startfraction negative 2 (x minus 6) over (x 4) (x minus 4) endfraction

Answers

The difference of the fractions as given in the task content is; (4-2x) / (x²-16).

What is the difference of the two fractions?

According to the task content, the fractions whose difference is to be evaluated are as indicated below;

[tex] \frac{x}{( {x}^{2 } - 16)} - \frac{3}{x - 4} [/tex]

Hence, the LCM of the denominators of both fractions can be evaluated as;

x -3(x+4)/(x²-16).

(4-2x) / (x²-16)

Hence, the difference of the two fractions is; (4-2x) / (x²-16).

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