Under her cell phone plan, Lily pays a flat cost of $55.50 per month and $4 per
gigabyte. She wants to keep her bill at $63.10 per month. Write and solve an equation
which can be used to determine x, the number of gigabytes of data Lily can use while
staying within her budget.
equation:
answer x=

Answers

Answer 1

Answer:

Equation : y = 4x + 55.50

x = 1.9 gigabytes

Step-by-step explanation:

Given that:

Flat fee per month = $55.50

Cost per gigabyte = $4

Let,

x be the number of gigabytes.

y be the total cost

y = 4x + 55.50

Lily wants to keep her bill $63.10

63.10 = 4x + 55.50

63.10 - 55.50 = 4x

4x = 7.60

Dividing both sides by 4

[tex]\frac{4x}{4} = \frac{7.60}{4}\\x=1.9[/tex]

Hence,

Equation : y = 4x + 55.50

x = 1.9 gigabytes

Answer 2

Answer:

Equation: 4x+55.5=63.1

Answer: x=1.9


Related Questions

Factor the expression completely. 5x + 4.0​

Answers

Answer: I think it should stay as is

Step-by-step explanation:

It is already simplified

A farmer raises only ducks and pigs. There are 55 animals in all on his farm, and 146 legs.
Find the number of ducks and pigs on his farm by setting up and solving a system of equations.
Define the variables
Equations
Show all work

Answers

Answer:

Number of ducks = 37

Number of pigs = 18

Step-by-step explanation:

Let,

x be the number of ducks

y be the number of pigs

According to given statement;

x+y=55     Eqn 1

2x+4y=146     Eqn 2 (As ducks will have 2 legs and pigs will have 4)

Multiplying Eqn 1 by 2

2(x+y=55)

2x+2y=110    Eqn 3

Subtracting Eqn 3 from Eqn 2

(2x+4y)-(2x+2y)=146-110

2x+4y-2x-2y=36

2y=36

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{36}{2}\\y=18[/tex]

Putting y=18 in Eqn 1

x+18=55

x = 55-18

x = 37

Hence,

Number of ducks = 37

Number of pigs = 18

m=p/n+4 make n the subject​

Answers

Answer:

[tex] n = \frac {p - 4m}{m} [/tex]

Step-by-step explanation:

Given the algebraic expression;

[tex] m = \frac {p}{n + 4} [/tex]

To make n the subject of formula.

Cross-multiplying, we have;

[tex] m*(n+4) = p [/tex]

[tex] mn + 4m = p[/tex]

Rearranging the equation, we have;

[tex] mn = p - 4m [/tex]

[tex] n = \frac {p - 4m}{m} [/tex]

Answer:

[tex]m = \frac{p}{(n + 4)} \\ (n + 4)m = p \\ nm + 4m = p \\ nm = p - 4m \\ n = \frac{p - 4m}{m} \\ n =( \frac{p}{m} - 4)[/tex]

n=p/m-4 is the right answer.

a² + 8a +15
Math problem hard

Answers

Answer:

Step-by-step explanation:

I believe u have to factorise

(a+3)(a+5)

Pam is a wedding planner She is setting up a room to seat at least 100 guests. She has some tables that seat 10 people and some tables that seat 5 people. She only has 10 of the tables that seat 5.
1. Let x = the number of 10-person tables, and y = the number of 5-person tables. Write an inequality to describe the number of tables Pam could set up for the wedding.
2. Write a second inequality based on the fact that there are only 10 tables that seat 5.

Answers

Answer:

1. 10x + 5y ≥ 100

2. y ≤ 10

Solve this system of equations using substitution:
y = 2r-4
x + 2y = 10
Step 1: Substitute for y in the second equation. Which is the
resulting equation?

Answers

I’m thinking your r in the first equation is actually an x.

X + 2(2x -4) =10

X +4x -8 =10

5x = 18

please help i'm really stuck on this! thank you :)

Answers

The answer is b ,e if is a to answe wuestion

I need help with this question, in the picture.

Answers

Answer:

34 degrees

Step-by-step explanation:

34 degrees

the angle is 90 degrees

90-56=34

Answer:  x = 31

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

Explanation:

Refer to the diagram below. I've added the variable y as the base angles to the isosceles triangle on the left.

Recall that the angles opposite the congruent sides are the base angles. The base angles of any isosceles triangle are the same measure.

Let's solve for y

y+y+56 = 180 .... all angles in a triangle add to 180

2y+56 = 180

2y = 180-56

2y = 124

y = 124/2

y = 62

I've also added the variable z, which is adjacent to one of the y angles.

Since y and z combine to form a straight angle, this means the two angles add to 180

y+z = 180

z = 180-y

z = 180-62

z = 118

Now focus on the isosceles triangle on the right. It has angles x, x, and z = 118.

x+x+z = 180

x+x+118 = 180

2x+118 = 180

2x = 180-118

2x = 62

x = 62/2

x = 31

is the graph of the function shown in the graph below one to one? why?

Answers

In accordance with functional theory, definition of functions and kinds of functions, the function is not injective but surjective. (Correct choice: C)

Does represent the picture of the function an injective or surjective function?

In accordance with functional theory, functions are relations in which each element of the domain is related to only one element of the range. There are three kinds of functions: (i) Injective - Each domain element is related to one distinct element of the range, (ii) Surjective - There are at least two domain elements that are related to an element of the range, (iii) Bijective - The function is both injective and surjective.

Based on all these information, we conclude that the given function has at least two values of the x-axis (domain) related to one value of the y-axis (range). In a nutshell, the function is not injective but surjective. (Correct choice: C)

To learn more on injective functions: https://brainly.com/question/1548798

#SPJ1

Eloise ran 2 3/12 miles yesterday and 1 8/12 miles today how far does Eloise run in all

Answers

Answer:

3 11/12

Step-by-step explanation:

Answer:

Different ways to answer

Step-by-step explanation:

mixed number: 3 11/12

decimal: 3.916 repeating

imporper fraction: 47/12

PLEASE MARK ME BRAINLIEST

There are 1400 students in a school. 52% of them are female. How many are male?

Answers

Answer: out of 1400 students 672 of them are males.

Step-by-step explanation:

Step 1 turn the percent into a decimal

0.52*1400= 728

728 is the number of female students

Step 2 subtract 728 from 1400

1400-728=672

Hope this helps ;)

3 What is the greatest number which
divides 36, 42 and 45 exactly
without a remainder? ?​

Answers

Answer:

3

Step-by-step explanation:

36 ÷ 3 = 12

42 ÷ 3 = 14

45 ÷ 3 = 15

Jasmine makes an origami picture frame to display her favorite family photo. The size of the frame is 3.5 In by 8 in. What is the area of the frame?​

Answers

Answer:

28 sq in

Step-by-step explanation:

Area =LxW

3.5x8=28

The length and width of a garden are in a ratio of 10:8. The perimeter of the garden is 324 feet. What is the length and width?

Answers

Answer:

length= 90feet

width =72 feet

Step-by-step explanation:

perimeter=2(L+W)

324=2(L+W)

324/2=L+W

162=L+W( at a ratio of 10:8)

length=10/18 * 162=90

width=8/18*162=72

2(90+72)=324

Length = 90 and width =75

yoko made $231 for 11 hours of work. At the same rate, how much would she make for 8 hours of work.

Answers

Answer:

Step-by-step explanation:

If Yoko made 231 dollars in 11 hours, it means that she makes

231/11=21 dollars per hour

in 8 hours

8*21=168 dollars in 8 hours

Answer:

168

Step-by-step explanation:

We need to find how much money she makes in one hour. Then multiply that by 8.

231 ÷ 11 = 21

21 × 8 = 168

O will give te brainliest plz help

Answers

Answer:

B

Hope it helps uwu

What is 60.861 rounded to the nearest hundredth?

Answers

Answer:

60.900

Step-by-step explanation:

All of the zero's are optional, i feel safer putting them.

Rewrite the decimal as a simple fraction in lowest terms. 0.005

Answers

Answer:

1/200

Step-by-step explanation:

the answer is that 0.005 is 1/200

Answer:

1/200

Step-by-step explanation:

If you calculate it out into a regular fraction, it will equal 5/1000.

Divide 5 and 1000 by 5 and you get 1/200.

Ashley’s school took a field trip. A total of 32 vehicles were needed for the trip. Some students took the bus, and some students car-pooled. There were 27 people on each bus and 3 people in each car. 408 people altogether attended the trip. How many buses and cars were needed for the trip?

Answers

Answer:

19 cars

13 buses

Step-by-step explanation:

We have a system of equations as follows

X + y = 32 -----1

3x + 27y = 408 ----2

x = car

y = bus

From equation 1

x + y = 32

x = 32 - y ---- 3

We put equation 3 into equation 2

3(32-y) + 27y = 408

96y -3y + 27y = 408

96 + 24y = 408

24y = 408 - 96

24y = 312

Divide through by 24 to get the value of y

Y = 312/24

Y = 13

We put the value of y in equation 3

x = 32 - 13

x = 19

So 19 cars would be needed for the trip and also 13 buses would also be needed

Wake up to reality! Nothing ever goes as planned in this world. The longer you live, the more you realize that in this reality only pain, suffering and futility exist. ” – Uchiha Madara

I well know a social life its only pain heading your way i am just saying a dream girl that i wish that would exist i dont like when people try to tell me to get a social life and try to get friends when they turn on you and use you

I do go outside that does not mean i have to be social with other people i am not the same as them i never want to be friends with a person who only causes pain and suffering in life

Answers

Exactly, Thank you again for these quotes!

-p.s you are loved <3

EDIT: THANKS FOR THE POINTS >:3

Select the correct answer. A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to finish the season with a 90% winning percentage? O A 12 B. 14 Ос. D. US​

Answers

Answer:

12 more games

Step-by-step explanation:

15 + 12 = 27

27 is 90% of 30 , so they need to win 12 more games but 27 overall out of the 30

30 = 100%

27 = x

x = 27×100%/30

x = 2700%/30

x = 90%

i giveeeee brainlilsttt pls helppppppp

Answers

Answer:

man have a good day

Step-by-step explanation:

hope your days going good

Answer:

I am pretty sure that u and t are gonna stay where they are and v is gonna be (-5,9)

Step-by-step explanation:

flyaj210 sent me

A crate has 272 red and green apples. How many green apples are there?

Answers

Answer:

149

Step-by-step explanation:

(7,1) and (-2,3)
Slope =

Answers

Answer:

The slope is [tex] - \frac{2}{9} [/tex].

Step-by-step explanation:

☆Remember:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

-

☆All we need to do is plug in!

[tex]m = \frac{3 - 1}{ - 2 - 7} = \frac{2}{ - 9} = - \frac{2}{9} [/tex]

At a university, 73% of the students are undergraduates. .

If there are 6,700 students, how many of them

are undergraduates?

Answers

Answer:4,891 are undergraduate students .

Step-by-step explanation:

Total  Number of students = 6700

Percentage  of Undergraduate students = 73%

Number of  Undergraduatre students = Percentage  of Undergraduate students x Total Number of students

= 73% x 6700

73/100 x6700

=4,891 are undergraduate students .

The radius of a circle is 3.8 feet. Find the diameter.

Answers

Answer:

7.6ft

Step-by-step explanation:

Answer:

7.6

Step-by-step explanation:

3.8 + 3.8 = 7.6

The radius of a circle is half of the diameter

The radius is half of the circle length and the diameter is the whole length

remember that :)

What is the place value of the digit 4 in the number 93493

Answers

Answer:

It is in the hundreds place

Step-by-step explanation:

If you could give brainliest it would be much appreciated.

Answer:

Step-by-step explanation:

Hundreds

A veterinarian divided 1/3 of a bottle of medicine equally between 2 sick cats. How much did
he give each sick cat?

Answers

He gave each cat 6 (whatever the measurement is) for each cat

Katy organised a wedding. Guests had to choose their meal from pasta , chicken or beef . 1/3 of the guests chose pasta . 5/12 of the guests chose chicken . 24 of the guests chose beef. How many guests were at the wedding ?

please help i’ll give brainliest

Answers

Answer:

There were 96 guests at the wedding.

Step-by-step explanation:

Let,

x be the total number of guests at the wedding.

People who chose pasta = 1/3 of the guests = [tex]\frac{1}{3}x[/tex]

People who chose chicken = [tex]\frac{5}{12}x[/tex]

People who chose beef = 24

Now,

[tex]\frac{1}{3}x+\frac{5}{12}x+24=x\\\\\frac{4x+5x+288}{12}=x\\9x+288 = 12x\\288=12x-9x\\288=3x\\3x=288[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{288}{3}\\x=96[/tex]

Hence,

There were 96 guests at the wedding.

how do you solve this as a solution 9(2 + 3x) < 72

Answers

Answer:

x <2

Step-by-step explanation:

9(2 + 3x) < 72

Divide each side by 9

9/9 *(2 + 3x) < 72/9

2+3x < 8

Subtract 2 from each side

2+3x-2 < 8-2

3x<6

Divide each side by 3

3x/3 <6/3

x <2

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