Create an algebraic expression to solve the following problems.

a) Jeff’s cell phone plan charges him $10 per GB with no extra fees. How much will his bill be for 6 GB?

b) Marks cell phone charges him $8 per GB and a monthly fee of $15 how much will his bill be for 10 GB

c) Ricks cell phone plan charges him $5 per GB and a monthly for of $30. How much will his bill be for 2 GB?


PLEASE ANSWER PLEASE

Answers

Answer 1

Answer:

Step-by-step explanation:

x is the number of GB

f(x) is the cost in dollars

f(x) = 10x

Bill for 6 GB = f(6) = 60

:::::

f(x) = 8x+15

Bill for 8 GB = f(10) = 95

:::::

f(x) = 5x+30

Bill for 2 GB = f(2) = 40


Related Questions

Consider this absolute value function.
f(3) = (+31
If function fis written as a piecewise function, which plece will it include?
A. -x- 3, x<3
B. -x + 3, x <-3
C. x+3, x >3
D. x+3, x>-3

Answers

Answer:

D

Step-by-step explanation:

f(x) = |x+3|=x+3   when x+3≥0 ⇒x≥-3

Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t^2 +16t+480

How long did it take Jason to reach his maximum height?

Answers

Answer:

5 seconds

Step-by-step explanation:

I did the same question a while ago.

In ΔMNO, m = 5.6 cm, o = 4.6 cm and ∠O=39°. Find all possible values of ∠M, to the nearest 10th of a degree.

Answers

Answer:

Answer: 50∘ and 130∘

Step-by-step explanation:

deltamath:)

The measures of M are 50.0 and 130 degrees

The given parameters are:

[tex]\mathbf{m = 5.6cm}[/tex]

[tex]\mathbf{o = 4.6cm}[/tex]

[tex]\mathbf{\angle O = 39^o}[/tex]

The measure of angle M is calculated using the following sine formula

[tex]\mathbf{\frac{o}{sin\ O} = \frac{m}{sin\ M}}[/tex]

So, we have:

[tex]\mathbf{\frac{4.6}{sin\ 39} = \frac{5.6}{sin\ M}}[/tex]

Evaluate sin 39

[tex]\mathbf{\frac{4.6}{0.6293} = \frac{5.6}{sin\ M}}[/tex]

Cross multiply

[tex]\mathbf{sin\ M \times 4.6 = 5.6 \times 0.6293}[/tex]

[tex]\mathbf{sin\ M \times 4.6 = 3.5241}[/tex]

Divide both sides by 4.6

[tex]\mathbf{sin\ M = 0.7661}[/tex]

Take arc sin of both sides

[tex]\mathbf{M = sin^{-1}(0.7661)}[/tex]

[tex]\mathbf{M = 50.0}[/tex]

The other possible value of M is:

[tex]\mathbf{M = 180 -50.0}[/tex]

[tex]\mathbf{M = 130.0}[/tex]

Hence, the measures of M are 50.0 and 130 degrees

Read more about sine equations at:

https://brainly.com/question/14140350

A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth side is a wall that already exists. If the farmer has 148 feet of fencing, what is the largest area the farmer can enclose?

Answers

Answer:

Step-by-step explanation:

There are several things we need to know to solve this: the perimeter formula of a rectangle, the area formula of a rectangle, and how to complete the square to find the answer. First of all, if the farmer has 148 feet of fencing to enclose 3 sides of a rectangle, the perimeter formula we need will include only 3 sides, the 2 widths and the 1 length:

P = 2w + l; solving for l and filling in our length of fencing gives us:

l = 148 - 2w

The area then for this will be:

A = (148 - 2w)(w) which is the same thing as length times width (area for a rectangle). Multiplying that out gives us:

[tex]A=148w-2w^2[/tex]. Let's rearrange that and put it into descending order so we can complete the square on it:

[tex]A=-2w^2+148w[/tex]

The reason we want to complete the square is because the answer that results from that will give us the dimensions of the rectangle (the width and the length) and also the area. Completing the square maximizes (or minimizes) area.

To complete the square, first factor out the -2 since the leading coefficient when you complete the square has to be a +1. When we do that we get:

[tex]A=-2(w^2-74w)[/tex]. Set it equal to 0 so we can factor it:

[tex]-2(w^2-74w)=0[/tex]

The idea now is to take half the linear term (the term stuck to the w), divide it in half, then square that number. Our linear term is 74. Half of 74 is 37, and 37 squared is 1369. So we add 1369 to both sides, the left side first:

[tex]-2(w^2-74w+1369)=...[/tex]

But we didn't just add in 1369. There's a -2 out front there that refuses to be ignored. It's a multiplier. What we ACTUALLY added in was -2 times 1369 which is -2738; therefore:

[tex]-2(w^w-74w+1369)=-2738[/tex]

The left side can be simplified down to a perfect square binomial:

[tex]-2(w-37)^2=-2738[/tex]

Now we'll add over the -2738:

[tex]-2(w-37)^2+2738=y[/tex] and from there determine our answer. The (w-37) term is the width of the rectangle; therefore, the length is 148 - 2(37) which is 74; the total area if the 2738. Completing the square gives us the vertex form of the parabola; the vertex is (37, 2738) where 37 is the width of the rectangle and 2738 is the max area.

0•1/91+1/1+1•1/91+2•1/91+...+90•1/91 pls help!!

Answers

Answer:

it is 2.021978 or 184/91

heart if this helps

It's 2.021978 or 184/91

Pls help !!!! Due today

Answers

Answer:

Im not so sure but i think its the 3rd option 168cm^2

Step-by-step explanation:

Please I need help with answering B...

5. The average price of a personal computer (PC) is $949.
Computer prices are approximately normally distributed
with = $100.
a. The least expensive 10% of personal computers cost less
than what amount? $821
b. The most expensive 30% of personal computers cost more
than what amount?

Answers

Take the numbers times by the percent to start the Robles

Five-digit locker combinations are assigned using the digits 1–9. In how many ways can the combinations be formed if no digit can be repeated

Answers

Answer:

15, 120

Step-by-step explanation:

9P4

.............................................................................................

PLEASE HELP:):):):):):):):)

Answers

Answer:

[tex]Area = 8[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Determine the area

The shape is a trapezium. So, the area is:

[tex]Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height[/tex]

From the attached,

The height is 2

The parallel sides are: 2 and 6

So, the area is:

[tex]Area = \frac{1}{2} *(2 + 6) * 2[/tex]

[tex]Area = \frac{1}{2} *8 * 2[/tex]

[tex]Area = 8[/tex]

Hence, the area is 8 units square

-7x + 2y = -5
y = -7x + 8
explain how please

Answers

Answer:

x = 1 and y =1

Step-by-step explanation:

y = -7x + 8

sub into other eq

-7x + 2(-7x + 8) = -5

-7x - 14x + 16 = -5

-21x = -21

x - 1

y = -7(1) + 8

y = 1

4th grade math please help

Answers

Answer:

Number one is D and Number 3 is also D

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation:

Jim got 46 out of 60 correct on a test. What is the best estimate of the percent Jim got correct ?

Answers

Answer-

77

Step-by-step explanation:

i rounded 76.67% (which was the exact percentage of 46 out of 60)

2- 77%

Answer:

About 76.5% (77%)

Step-by-step explanation:

well start with the simple fractions. 40/60 is 2/3 which is 66.66666 repeating.

If we know it increased at least 5 more that is 45/60 which is 3/4, since 15 * 4 = 60, so 15 * 3 = 45.

We could say without getting too specific that every point will have about a 1.5 or more % increase since if it was out of 100 points every 1 question is +1 % and 50 points every question is +2 %. Since this is 60 it will be roughly about 1.6%

Ok the point is, about 76.5% (77%)

cAlCulAtOrS ExiSt SkOoL Hw

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 1 dollars per square foot, determine the dimensions for a box to have volume

Answers

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

[tex]L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\[/tex]

The construction cost now is:

[tex]C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}[/tex]

Now, to determine the minimum cost:

[tex]\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}[/tex]

[tex]w = \dfrac{88}{3(3)}^{1/3} \ feet[/tex]

Now;

[tex]length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet[/tex]

[tex]height = ( 88})^{1/3} (3)^{1/3} \ feet[/tex]

Is (0,0) (0,100) endpoints of a vertical line, a horizontal line, or neither?

Answers

Answer:

it's a vertical line.

Step-by-step explanation:

only the Y coordinate changes making it vertical

I absolutely suck at math please help lol I have 3 more of these to do

Answers

X= Sin^-1 (32/35)
X = 66.1
Hope this helps

Lee la siguiente información.
En una olimpiada matemática, cada estudiante recibe un punto por cada pregunta acertada que tenga, en la siguiente tabla de frecuencias se muestra la clasificación de la cantidad de estudiantes de acuerdo con su puntaje obtenido.



De acuerdo con la tabla, ¿cuál es aproximadamente la desviación estándar?
A.
6,12
B.
7
C.
8,42
D.
9

Answers

La desviación estándar se puede calcular mediante la fórmula

S = √∑fx² / n - (∑fx / n) ²

La desviación estándar es 6,12

Poner los valores de la tabla en la hoja de Excel dada.

s = √381430 / 60 - (4770/60) ²

s = √6357.167 -6320.25

s = √36,917

s = 6,0759

Cuando se redondea daría 6,1

The standard deviation can be calculated using the formula

S= √∑fx²/n - (∑fx/n)²

The standard deviation is 6.12

Putting the values from the table in the given excel sheet.

s= √381430/60 - (4770/60)²

s= √6357.167 -6320.25

s= √36.917

s= 6.0759

When rounded would give 6.1

https://brainly.com/question/475676

https://brainly.com/question/18562832

14 in. = _____ ft
Plzzzzzzzz help

Answers

Answer:

1.2

Step-by-step explanation:

12 in= 1 foot

Answer:

1.16 feet

Step-by-step explanation:

12 inches in one foot so there are 14 inches in 1.16 feet.

Please help. We are stuck on this one question. Thank you

Answers

Answer:

D

Step-by-step explanation:

All the x and y values have a proportion of 5:1

Answer:

D

Step-by-step explanation:

Proportional relationship means there is a common difference between X and Y. That is only present in D, where x/5 = y.

X       Y

5/5 = 1

10/5 = 2

15/5 = 3

20/5 = 4

25/5 = 5

13
What is the inverse of when
15
multiplying fractions?
13
A
15
15
B
13
13
C с
13
15
D
15

Answers

Answer:

Step-by-step explanation:

15x13=?

15+15+1=31

so the answer is 31

Special right triangles. find the value of x?
hypotenuse = leg ×
[tex] \sqrt{2} [/tex]

Answers

Answer:

x = (9√2)/2

Step-by-step explanation:

Reference angle = 45°

Hypotenuse length = 9

Adjacent length = x

Apply the trigonometric ratio CAH:

Cos 45° = Adj/Hyp

Cos 45° = x/9

Multiply both sides by 9

9*Cos 45 = x

9*1/√2 = x (cos 45 = 1/√2)

9/√2 = x

Rationalize

(9*√2)/2 = x

x = (9√2)/2

Help please will mark brainliest!!

Answers

Answer:

5,4 km

Step-by-step explanation:

we know the area and the width.

the formula of the area of a parallelogram is

A = length x width

if we substitute the values that we know, we have

23,1 = x * 4,3

to find x we have to divide the two members by 4,3

x = 23,3/4,3 = 5,4 km

What's the distance between (4,-2) and (4,3)

Answers

Answer:

5 units

Step-by-step explanation:

(4, -2 )  ;   [tex]x_{1}=4[/tex]  and [tex]y_{1} = -2[/tex]

(4 , 3) ;      [tex]x_{2} = 4[/tex]  and  [tex]y_{2}=3[/tex]

distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\[/tex]

              [tex]= \sqrt{(4-4)^{2}+(3-[-2])^{2}}\\\\= \sqrt{0+(3+2)^{2}} \\\\=\sqrt{5^{2}}\\\\= 5 units[/tex]

Hannah invested $96,000 in an account paying an interest rate of 6\tfrac{1}{2}6 2 1 ​ % compounded quarterly. Evelyn invested $96,000 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 ​ % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Evelyn's money to double than for Hannah's money to double?

Answers

Answer:

.37 years

Step-by-step explanation:

I did this one in delta math

Jimmy has 6 computers and 7 printers to choose from. How many possible computer- printer combinations are there to make?

O 42
O 13​

Answers

Answer:

13

Step-by-step explanation:

Computers=6

Printers=7

Now,

=6+7

=13

The correct answer is 13

Find the sum or difference. (5a – 3b2 – a) + (b – 5 + 8a2)

Answers

Answer:

C

Step-by-step explanation:

5a - 3b^2 - a + b - 5 + 8a^2

8a^2 - 3b^2 + 4a + b - 5

Round to the nearest hundredth 2^x =243

Answers

9514 1404 393

Answer:

  7.92

Step-by-step explanation:

The value of x can be found by taking logarithms.

  x·log(2) = log(243)

  x = log(243)/log(2)

  x ≈ 7.9248125...

  x ≈ 7.92

__

A graphing calculator offers a couple of different options for solving the problem.

Kelly had an apple. She cut it in half, and then she cut it in half again.
She ate three pieces of the apple. How many pieces did Kelly have left?

Answers

Answer:

1

Step-by-step explanation:

Answer:

kelly had only 1 piece left

Step-by-step explanation:

she cut it in half she got 2 pieces , when she cut it again in half she got 2 more . she then ate 3 pieces and 1 got left.

total piece= 4

eaten =3

left = 1

The base and height of a triangle are each extended 2cm. what is the area of the shaded region? explain how you know


PLEASE HELP ILL GIVE YOU BRAINLIEST PLESSE HELPPPP

Answers

Answer:

18cm^2

Step-by-step explanation:

The computation of the area of the shaded region is shown below:

But before that the x value is

x ÷ 8 = (x+2) ÷ 10

10x = 8x + 16

10x - 8x = 16

2x = 16

x = 8

Now as we know that

Area = base ×  height

= 2cm × 8cm

= 16cm²

Now for small triangle

Area  = 1 ÷  2(base)(height)

= 1 ÷ 2 × (2)(2)

=4 ÷ 2

A = 2cm²

Now the total area of the shaded region is

= 16cm^2 + 2cm^2

= 18cm^2

1. You have applied for two scholarships: the TRIO Opportunity Grant (TOG) and the Vermont Opportunity in Education (VEOP) scholarship. From data collected over the years, the probability that you receive the VEOP scholarship is 0.25, the probability that you receive both scholarships is 0.15, and the probability that you get at least one of these scholarships is 0.37. a. What is the probability that you receive the TOG

Answers

Answer:

0.27 = 27% probability that you receive the TOG scolarship.

Step-by-step explanation:

I am going to solve this question treating these probabilities as Venn probabilities.

I am going to say that:

Event A: TOG scolarship

Event B: VEOP scolarship

The probability that you receive the VEOP scholarship is 0.25

This means that [tex]P(B) = 0.25[/tex]

Probability that you receive both scholarships is 0.15

This means that [tex]P(A \cap B) = 0.15[/tex]

The probability that you get at least one of these scholarships is 0.37.

This means that [tex]P(A \cup B) = 0.37[/tex]

What is the probability that you receive the TOG?

This is P(A). These measures are related by:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A) = P(A \cup B) + P(A \cap B) - P(B)[/tex]

Replacing with the values in this question

[tex]P(A) = 0.15 + 0.37 - 0.25 = 0.27[/tex]

0.27 = 27% probability that you receive the TOG scolarship.

cuál es el promedió de edad​

Answers

Answer:

22 años

Step-by-step explanation:

a

Answer:

Step-by-step explanation: Es una estadística que resume la distribución de la edad de la población. Hoy día, la media de edad a nivel global es 30,4 años.

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